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Summary
Bibtex
Coulombic Quantum Liquids in Spin-1/2 Pyrochlores ,
L. Savary & L. Balents: (2011).
@Article{2011arXiv1110.2185S,
author = {{Savary}, L. and {Balents}, L.},
title = {{Coulombic Quantum Liquids in Spin-1/2 Pyrochlores}},
journal = {ArXiv e-prints},
year = {2011},
month = {October},
url = {http://arxiv.org/abs/1110.2185}
}
Summary
Bibtex
Spin Liquid Phases for Spin-1 systems on the Triangular lattice ,
C. Xu, F. Wang, Y. Qi, L. Balents & M. P. A. Fisher: (2011).
@Article{2011arXiv1110.3328X,
author = {{Xu}, C. and {Wang}, F. and {Qi}, Y. and {Balents}, L. and {Fisher}, M.~P.~A. },
title = {{Spin Liquid Phases for Spin-1 systems on the Triangular lattice}},
journal = {ArXiv e-prints},
year = {2011},
month = {October},
url = {http://arxiv.org/abs/1110.3328}
}
Summary
Bibtex
Time reversal symmetry breaking superconductivity in the honeycomb t-J model ,
Z.-C. Gu, H.-C. Jiang, D. N. Sheng, H. Yao, L. Balents & X.-G. Wen: (2011).
@Article{2011arXiv1110.1183G,
author = {{Gu}, Z.-C. and {Jiang}, H.-C. and {Sheng}, D.~N. and {Yao}, H. and {Balents}, L. and {Wen}, X.-G.},
title = {{Time reversal symmetry breaking superconductivity in the honeycomb t-J model}},
journal = {ArXiv e-prints},
year = {2011},
month = {October},
url = {http://arxiv.org/abs/1110.1183}
}
Summary
Bibtex
Topological nodal semimetals ,
A. A. Burkov, M. D. Hook & L. Balents: (2011).
@Article{2011arXiv1110.1089B,
author = {{Burkov}, A.~A. and {Hook}, M.~D. and {Balents}, L.},
title = {{Topological nodal semimetals}},
journal = {ArXiv e-prints},
year = {2011},
month = {October},
url = {http://arxiv.org/abs/1110.1089}
}
Summary
Bibtex
Time reversal invariant realization of the Weyl semimetal phase ,
G. B. Halász & L. Balents: (2011).
@Article{2011arXiv1109.6137H,
author = {{Hal{\'a}sz}, G.~B. and {Balents}, L.},
title = {{Time reversal invariant realization of the Weyl semimetal phase}},
journal = {ArXiv e-prints},
year = {2011},
month = {September},
url = {http://arxiv.org/abs/1109.6137}
}
Summary
Bibtex
Quantum Excitations in Quantum Spin Ice ,
Kate A. Ross, Lucile Savary, Bruce D. Gaulin & Leon Balents: (2011).
Recent work has highlighted remarkable effects of classical thermal fluctuations in the dipolar spin ice compounds, such as "artificial magnetostatics", manifesting as Coulombic power-law spin correlations and particles behaving as diffusive "magnetic monopoles". In this paper, we address quantum spin ice, giving a unifying framework for the study of magnetism of a large class of magnetic compounds with the pyrochlore structure, and in particular discuss Yb2Ti2O7 and extract its full set of Hamiltonian parameters from high field inelastic neutron scattering experiments. We show that fluctuations in Yb2Ti2O7 are strong, and that the Hamiltonian may support a Coulombic "Quantum Spin Liquid" ground state in low field and host an unusual quantum critical point at larger fields. This appears consistent with puzzling features in prior experiments on Yb2Ti2O7. Thus Yb2Ti2O7 is the first quantum spin liquid candidate in which the Hamiltonian is quantitatively known.
@Article{ross11:_quant_excit_quant_spin_ice,
author = {Ross, Kate A. and Savary, Lucile and Gaulin, Bruce D. and Balents, Leon},
title = {Quantum Excitations in Quantum Spin Ice},
journal = {Phys. Rev. X},
year = {2011},
volume = {1},
month = {Oct},
pages = {021002},
url = {http://link.aps.org/doi/10.1103/PhysRevX.1.021002}
}
Summary
Bibtex
Metal-insulator transition in a two-band model for the perovskite nickelates ,
SungBin Lee, Ru Chen & Leon Balents: (2011).
Motivated by recent Fermi surface and transport measurements on LaNiO3, we study the Mott Metal-Insulator transitions of perovskite nickelates, with the chemical formula RNiO3, where R is a rare-earth ion. We introduce and study a minimal two-band model, which takes into account only the eg bands. In the weak to intermediate correlation limit, a Hartree-Fock analysis predicts charge and spin order consistent with experiments on R=Pr, Nd, driven by Fermi surface nesting. It also produces an interesting semi-metallic electronic state in the model when an ideal cubic structure is assumed. We also study the model in the strong interaction limit, and find that the charge and magnetic order observed in experiment exist only in the presence of very large Hund's coupling, suggesting that additional physics is required to explain the properties of the more insulating nickelates, R=Eu,Lu,Y. Next, we extend our analysis to slabs of finite thickness. In ultra-thin slabs, quantum confinement effects substantially change the nesting properties and the magnetic ordering of the bulk, driving the material to exhibit highly anisotropic transport properties. However, pure confinement alone does not significantly enhance insulating behavior. Based on these results, we discuss the importance of various physical effects, and propose some experiments.
@Article{lee11:_metal,
author = {Lee, SungBin and Chen, Ru and Balents, Leon},
title = {Metal-insulator transition in a two-band model for the perovskite nickelates},
journal = {Phys. Rev. B},
year = {2011},
volume = {84},
month = {Oct},
pages = {165119},
url = {http://link.aps.org/doi/10.1103/PhysRevB.84.165119}
}
Summary
Bibtex
Spin-orbit coupling in $d^2$ ordered double perovskites ,
Gang Chen & Leon Balents: (2011).
We construct and analyze a microscopic model for insulating rock salt ordered double perovskites, with the chemical formula A2BB'O6, where the magnetic ion B' has a 4d2 or 5d2 electronic configuration and forms a face centered cubic (fcc) lattice. For these B' ions, the combination of the triply-degenerate antisymmetric two-electron orbital states and strong spin-orbit coupling forms local quintuplets with an effective spin moment j=2. Moreover, due to strongly orbital-dependent exchange, the effective spins have substantial biquadratic and bicubic interactions (fourth and sixth order in the spins, respectively). This leads, at the mean field level, to a rich ground state phase diagram which includes seven different phases: a uniform ferromagnetic phase with an ordering wavevector p = 0 and uniform magnetization along $[111]$ direction, four two-sublattice phases with an ordering wavevector p = 2 &pi (001) and two four-sublattice antiferromagnetic phases. Amongst the two-sublattice phases there is a quadrupolar ordered phase which preserves time reversal symmetry. Extending the mean field theory to finite temperatures, we find ten different magnetization processes with different magnetic thermal transitions. In particular, we find that thermal fluctuations stabilize the two-sublattice quadrupolar ordered phase in a large portion of phase diagram. Existing and possible future experiments are discussed in light of these theoretical predictions.
@Article{chen11:_spin,
author = {Chen, Gang and Balents, Leon},
title = {Spin-orbit coupling in ${d}^{2}$ ordered double perovskites},
journal = {Phys. Rev. B},
year = {2011},
volume = {84},
month = {Sep},
pages = {094420},
url = {http://link.aps.org/doi/10.1103/PhysRevB.84.094420}
}
Summary
Bibtex
Weyl Semimetal in a Topological Insulator Multilayer ,
A. A. Burkov & Leon Balents: (2011).
We propose a simple realization of the three-dimensional (3D) Weyl semimetal phase, utilizing a multilayer structure, composed of identical thin films of a magnetically-doped 3D topological insulator (TI), separated by ordinary-insulator spacer layers. We show that the phase diagram of this system contains a Weyl semimetal phase of the simplest possible kind, with only two Dirac nodes of opposite chirality, separated in momentum space, in its bandstructure. This particular type of Weyl semimetal has a finite anomalous Hall conductivity, chiral edge states, and occurs as an intermediate phase between an ordinary insulator and a 3D quantum anomalous Hall insulator with a quantized Hall conductivity, equal to e2/h per TI layer. We find that the Weyl semimetal has a nonzero DC conductivity at zero temperature and is thus an unusual metallic phase, characterized by a finite anomalous Hall conductivity and topologically-protected edge states.
@Article{burkov11:_weyl_semim_topol_insul_multil,
author = {Burkov, A. A. and Balents, Leon},
title = {Weyl Semimetal in a Topological Insulator Multilayer},
journal = {Phys. Rev. Lett.},
year = {2011},
volume = {107},
month = {Sep},
pages = {127205},
url = {http://link.aps.org/doi/10.1103/PhysRevLett.107.127205}
}
Summary
Bibtex
Impurity effects in highly frustrated diamond-lattice antiferromagnets ,
Lucile Savary, Emanuel Gull, Simon Trebst, Jason Alicea, Doron Bergman & Leon Balents: (2011).
We consider the effects of local impurities in highly frustrated diamond lattice antiferromagnets, which exhibit large but non-extensive ground state degeneracies. Such models are appropriate to many A-site magnetic spinels. We argue very generally that sufficiently dilute impurities induce an ordered magnetic ground state, and provide a mechanism of degeneracy breaking. The states which are selected can be determined by a "swiss cheese model" analysis, which we demonstrate numerically for a particular impurity model in this case. Moreover, we present criteria for estimating the stability of the resulting ordered phase to a competing frozen (spin glass) one. The results may explain the contrasting finding of frozen and ordered ground states in CoAl2O4 and MnSc2S4, respectively.
@Article{savary11:_impur,
author = {Savary, Lucile and Gull, Emanuel and Trebst, Simon and Alicea, Jason and Bergman, Doron and Balents, Leon},
title = {Impurity effects in highly frustrated diamond-lattice antiferromagnets},
journal = {Phys. Rev. B},
year = {2011},
volume = {84},
month = {Aug},
pages = {064438},
url = {http://link.aps.org/doi/10.1103/PhysRevB.84.064438}
}
Summary
Bibtex
Weyl electrons kiss ,
Leon Balents: (2011).
@Article{Physics.4.36,
author = {Balents, Leon},
title = {Weyl electrons kiss},
journal = {Physics},
year = {2011},
volume = {4},
month = {May},
pages = {36},
url = {http://link.aps.org/doi/10.1103/Physics.4.36}
}
Summary
Bibtex
Quantum phase transitions around the staggered valence-bond solid ,
Cenke Xu & Leon Balents: (2011).
Motivated by recent numerical results, we study the quantum phase transitions between Z2 spin liquid, Neel ordered, and various valence bond solid (VBS) states on the honeycomb and square lattices, with emphasis on the staggered VBS. In contrast to the well-understood columnar VBS order, the staggered VBS is not described by an XY order parameter with ZN anisotropy close to these quantum phase transitions. Instead, we demonstrate that on the honeycomb lattice, the staggered VBS is more appropriately described as an O(3) or CP(2) order parameter with cubic anisotropy, while on the square lattice it is described by an O(4) or CP(3) order parameter.
@Article{PhysRevB.84.014402,
author = {Xu, Cenke and Balents, Leon },
title = {Quantum phase transitions around the staggered valence-bond solid},
journal = {Phys. Rev. B},
year = {2011},
volume = {84},
number = {1},
month = {Jul},
pages = {014402},
url = {http://link.aps.org/doi/10.1103/PhysRevB.84.014402}
}
Summary
Bibtex
Optical conductivity of LaNiO$_3$ : Coherent transport and correlation driven mass enhancement ,
Daniel G. Ouellette, SungBin Lee, Junwoo Son, Susanne Stemmer, Leon Balents, Andrew J. Millis & S. James Allen: (2010).
We report optical conductivity measurements of low resistivity LaNiO3 thin films grown on LaAlO3, (LaAlO3)0.3 (Sr2AlTaO6)0.7, and DyScO3 substrates, providing coherent compressive or tensile strain. The optical conductivity was measured by infrared reflectance and transmittance up to 3 eV and extrapolates well to the measured dc values. An unambiguous Drude response is clearly distinguishable from broad interband absorption extending beyond 3 eV. The measured spectral weight of the Drude response is substantially less than predicted by band theory, indicating an enhancement of the transport mass compared to the band mass by a strain-dependent factor of 2.5–5, characteristic of a strongly correlated metal.
@Article{PhysRevB.82.165112,
author = {Ouellette, Daniel G. and Lee, SungBin and Son, Junwoo and Stemmer, Susanne and Balents, Leon and Millis, Andrew J. and Allen, S. James},
title = {Optical conductivity of LaNiO$_3$ : Coherent transport and correlation driven mass enhancement},
journal = {Phys. Rev. B},
year = {2010},
volume = {82},
number = {16},
month = {Oct},
pages = {165112},
url = {http://link.aps.org/doi/10.1103/PhysRevB.82.165112}
}
Summary
Bibtex
Probing the metal-insulator transition of NdNiO3 by electrostatic doping ,
J. Son, B. Jalan, A. P. Kajdos, L. Balents, S. J. Allen & S. Stemmer: (2011).
@Article{2011arXiv1110.4134S,
author = {{Son}, J. and {Jalan}, B. and {Kajdos}, A.~P. and {Balents}, L. and {Allen}, S.~J. and {Stemmer}, S.},
title = {{Probing the metal-insulator transition of NdNiO3 by electrostatic doping}},
journal = {ArXiv e-prints},
year = {2011},
month = {October},
}
Summary
Bibtex
Exotic phases induced by strong spin-orbit coupling in ordered double perovskites ,
G. Chen, R. Pereira & L. Balents: (2010).
We construct and analyze a microscopic model for insulating rock salt ordered double perovskites, with the chemical formula A_2BB'O6, where the B' atom has a 4d1 or 5d1 electronic configuration and forms a face centered cubic (fcc) lattice. The combination of the triply-degenerate t2g orbital and strong spin-orbit coupling forms local quadruplets with an effective spin moment j=3/2. Moreover, due to strongly orbital-dependent exchange, the effective spins have substantial biquadratic and bicubic interactions (fourth and sixth order in the spins, respectively). This leads, at the mean field level, to three main phases: an unusual antiferromagnet with dominant octupolar order, a ferromagnetic phase with magnetization along the [110] direction, and a non-magnetic but quadrupolar ordered phase, which is stabilized by thermal fluctuations and intermediate temperatures. All these phases have a two sublattice structure described by the ordering wavevector Q =2π (001). We consider quantum fluctuations and argue that in the regime of dominant antiferromagnetic exchange, a non-magnetic valence bond solid or quantum spin liquid state may be favored instead. Candidate quantum spin liquid states and their basic properties are described. We also address the effect of single-site anisotropy driven by lattice distortions. Existing and possible future experiments are discussed in light of these results.
@Article{chen2010exotic,
author = {Chen, G. and Pereira, R. and Balents, L.},
title = {Exotic phases induced by strong spin-orbit coupling in ordered double perovskites},
journal = {Physical Review B},
year = {2010},
volume = {82},
number = {17},
pages = {174440},
url = {http://prb.aps.org/abstract/PRB/v82/i17/e174440}
}
Summary
Bibtex
Landau theory of charge and spin ordering in the nickelates ,
S.B. Lee, R. Chen & L. Balents: (2011).
Guided by experiment and band structure, we introduce and study a phenomenological Landau theory for the unusual charge and spin ordering associated with the Mott transition in the perovskite nickelates, with chemical formula RNiO3, where R=Pr, Nd, Sm, Eu, Ho, Y, and Lu. While the Landau theory has general applicability, we show that for the most conducting materials, R=Pr, Nd, both types of order can be understood in terms of a nearly-nested spin density wave. Furthermore, we argue that in this regime, the charge ordering is reliant upon the orthorhombic symmetry of the sample, and therefore proportional to the magnitude of the orthorhombic distortion. The first order nature of the phase transitions is also explained. We briefly show by example how the theory is readily adapted to modified geometries such as nickelate films.
@Article{lee2011landau,
author = {Lee, S.B. and Chen, R. and Balents, L.},
title = {Landau theory of charge and spin ordering in the nickelates},
journal = {Physical Review Letters},
year = {2011},
volume = {106},
number = {1},
pages = {16405},
url = {http://link.aps.org/doi/10.1103/PhysRevLett.106.016405}
}
Summary
Bibtex
Extreme sensitivity of a frustrated quantum magnet: $Cs_2CuCl_4$ ,
Oleg A. Starykh, Hosho Katsura & Leon Balents: (2010).
We report a thorough theoretical study of the low temperature phase diagram of Cs2CuCl4, a spatially anisotropic spin S=1/2 triangular lattice antiferromagnet, in a magnetic field. Our results, obtained in a quasi-one-dimensional limit in which the system is regarded as a set of weakly coupled Heisenberg chains, are in excellent agreement with experiment. The analysis reveals some surprising physics. First, we find that, when the magnetic field is oriented within the triangular layer, spins are actually most strongly correlated within planes perpendicular to the triangular layers. This is despite the fact that the inter-layer exchange coupling in Cs2CuCl4 is about an order of magnitude smaller than the weakest (diagonal) exchange in the triangular planes themselves. Second, the phase diagram in such orientations is exquisitely sensitive to tiny interactions, heretofore neglected, of order a few percent or less of the largest exchange couplings. These interactions, which we describe in detail, induce entirely new phases, and a novel commensurate-incommensurate transition, the signatures of which are identified in NMR experiments. We discuss the differences between the behavior of Cs2CuCl4 and an ideal two-dimensional triangular model, and in particular the occurrence of magnetization plateaux in the latter. These and other related results are presented here along with a thorough exposition of the theoretical methods, and a discussion of broader experimental consequences to Cs2CuCl4 and other materials.
@Article{PhysRevB.82.014421,
author = {Starykh, Oleg A. and Katsura, Hosho and Balents, Leon },
title = {Extreme sensitivity of a frustrated quantum magnet: $Cs_{2}CuCl_{4}$ },
journal = {Phys. Rev. B},
year = {2010},
volume = {82},
number = {1},
month = {Jul},
pages = {014421},
url = {http://dx.doi.org/10.1103/PhysRevB.82.014421}
}
Summary
Bibtex
Spin liquids in frustrated magnets ,
Leon Balents: (2010).
Frustrated magnets are materials in which localized magnetic moments, or spins, interact through competing exchange interactions that cannot be simultaneously satisfied, giving rise to a large degeneracy of the system ground state. Under certain conditions, this can lead to the formation of fluid-like states of matter, so-called spin liquids, in which the constituent spins are highly correlated but still fluctuate strongly down to a temperature of absolute zero. The fluctuations of the spins in a spin liquid can be classical or quantum and show remarkable collective phenomena such as emergent gauge fields and fractional particle excitations. This exotic behaviour is now being uncovered in the laboratory, providing insight into the properties of spin liquids and challenges to the theoretical description of these materials.
@Article{citeulike:6827478,
author = {Balents, Leon},
title = {Spin liquids in frustrated magnets},
journal = {Nature},
year = {2010},
volume = {464},
number = {7286},
month = {March},
pages = {199--208},
url = {http://dx.doi.org/10.1038/nature08917}
}
Summary
Bibtex
Low-dimensional Mott material: Transport in ultrathin epitaxial LaNiO$_3$ films ,
Junwoo Son, Pouya Moetakef, James M. LeBeau, Daniel Ouellette, Leon Balents, S. James Allen & Susanne Stemmer: (2010).
Electrical resistivity and magnetotransport are explored for thin (3-30 nm), epitaxial LaNiO3 films. Films were grown on three different substrates to obtain LaNiO3 films that are coherently strained, with different signs and magnitude of film strain. It is shown that d-band transport is inhibited as the layers progress from compression to tension. The Hall coefficient is "holelike." Increasing tensile strain causes the film resistivity to increase, causing strong localization to appear below a critical thickness.
@Article{son:062114,
author = {Junwoo Son and Pouya Moetakef and James M. LeBeau and Daniel Ouellette and Leon Balents and S. James Allen and Susanne Stemmer},
title = {Low-dimensional Mott material: Transport in ultrathin epitaxial LaNiO$_3$ films},
journal = {Applied Physics Letters},
year = {2010},
volume = {96},
number = {6},
pages = {062114},
url = {http://link.aip.org/link/?APL/96/062114/1}
}
Summary
Bibtex
Interplay of Quantum Criticality and Geometric Frustration in Columbite ,
SungBin Lee, Ribhu K. Kaul & Leon Balents: (2010).
Motivated by CoNb2O6 (belonging to the columbite family of minerals), we theoretically study the physics of quantum ferromagnetic Ising chains coupled anti-ferromagnetically on a triangular lattice in the plane perpendicular to the chain direction. We combine exact solutions of the chain physics with perturbative approximations for the transverse couplings. When the triangular lattice has an isosceles distortion (which occurs in the real material), the T=0 phase diagram is rich with Néel, anti-ferromagnetic, paramagnetic and incommensurate phases, separated by quantum phase transitions. Implications of our results to experiments on CoNb2O6 are discussed.
@Article{lee10:_inter_quant_critic_geomet_frust_colum,
author = {Lee, SungBin and Kaul, Ribhu K. and Balents, Leon},
title = {Interplay of Quantum Criticality and Geometric Frustration in Columbite},
journal = {Nature Physics},
year = {2010},
volume = {6},
pages = {702--706},
url = {http://arxiv.org/abs/0911.0038}
}
Summary
Bibtex
Mott physics and band topology in materials with strong spin-orbit interaction ,
D. A. Pesin & Leon Balents: (2010).
Recent theory and experiment have revealed that strong spin-orbit coupling can have dramatic qualitative effects on the band structure of weakly interacting solids. Indeed, it leads to a distinct phase of matter, the topological band insulator. In this paper, we consider the combined effects of spin-orbit coupling and strong electron correlation, and show that the former has both quantitative and qualitative effects upon the correlation-driven Mott transition. As a specific example we take Ir-based pyrochlores, where the subsystem of Ir 5d electrons is known to undergo a Mott transition. At weak electron-electron interaction, we predict that Ir electrons are in a metallic phase at weak spin-orbit interaction, and in a topological band insulator phase at strong spin-orbit interaction. Very generally, we show that with increasing strength of the electron-electron interaction, the effective spin-orbit coupling is enhanced, increasing the domain of the topological band insulator. Furthermore, in our model, we argue that with increasing interactions, the topological band insulator is transformed into a "topological Mott insulator" phase, which is characterized by gapless surface spin-only excitations. The full phase diagram also includes a narrow region of gapless Mott insulator with a spinon Fermi surface, and a magnetically ordered state at still larger electron-electron interaction.
@Article{pesin10:_mott,
author = {Pesin, D. A. and Balents, Leon},
title = {{Mott physics and band topology in materials with strong spin-orbit interaction}},
journal = {Nature Physics},
year = {2010},
volume = {6},
pages = {376--381},
url = {http://dx.doi.org/10.1038/nphys1606}
}
Summary
Bibtex
Excitation spectrum and magnetic field effects in a quantum critical spin-orbital system: The case of FeSc$_2$S$_4$ ,
Gang Chen, Andreas P. Schnyder & Leon Balents: (2009).
The orbitally degenerate A-site spinel compound FeSc2S4 has been experimentally identified as a ``spin-orbital liquid'', with strong fluctuations of both spins and orbitals. Assuming that the second neighbor spin exchange J2 is the dominant one, we argued in a recent theoretical study [Chen et al., Phys. Rev. Lett. 102, 096406 (2009)] that FeSc2S4 is in a local ``spin-orbital singlet'' state driven by spin orbit coupling, close to a quantum critical point, which separates the ``spin-orbital singlet'' phase from a magnetically and orbitally ordered phase. In this paper, we refine further and develop this theory of {FeSc$_2$S$_4$} . First, we show that inclusion of a small first neighbor exchange J1 induces a narrow region of incommensurate phase near the quantum critical point. Next, we derive the phase diagram in the presence of an external magnetic field B, and show that the latter suppresses the ordered phase. Lastly, we compute the field dependent dynamical magnetic susceptibility $\chi(k, \omega; B)$, from which we extract a variety of physical quantities. Comparison with and suggestions for experiment are discussed.
@Article{chen:224409,
author = {Gang Chen and Andreas P. Schnyder and Leon Balents},
title = {{Excitation spectrum and magnetic field effects in a quantum critical spin-orbital system: The case of FeSc$_2$S$_4$}},
journal = {Physical Review B (Condensed Matter and Materials Physics)},
year = {2009},
volume = {80},
number = {22},
pages = {224409},
url = {http://link.aps.org/abstract/PRB/v80/e224409}
}
Summary
Bibtex
Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets ,
E. M. Stoudenmire, Simon Trebst & Leon Balents: (2009).
Motivated by experiments on NiGa2S4, we discuss characteristic (finite temperature) properties of spin S = 1 quantum antiferromagnets on the triangular lattice. Several recent theoretical studies have suggested the possibility of quadrupolar (spin-nematic) ground states in the presence of sufficient biquadratic exchange. We argue that quadrupolar correlations are substantially more robust than the spin-nematic ground state, and give rise to a two peak structure of the specific heat. We characterize this behavior by a novel T > 0 semiclassical approximation, which is amenable to efficient Monte Carlo simulations. Turning to low temperatures, we consider the effects of weak disorder on incommensurate magnetic order, which is present when interactions beyond nearest neighbor exchange are substantial. We show that non-magnetic impurities act as random fields on a component of the order parameter, leading to the disruption of long-range magnetic order even when the defects are arbitrarily weak. Instead, a gradual freezing phenomena is expected on lowering the temperature, with no sharp transition but a rapid slowing of dynamics and the development of substantial spin-glass-like correlations. We discuss these observations in relation to measurements of NiGa2S4.
@Article{stoudenmire:214436,
author = {E. M. Stoudenmire and Simon Trebst and Leon Balents},
title = {{Quadrupolar correlations and spin freezing in S = 1 triangular lattice antiferromagnets}},
journal = {Physical Review B (Condensed Matter and Materials Physics)},
year = {2009},
volume = {79},
number = {21},
pages = {214436},
url = {http://link.aps.org/abstract/PRB/v79/e214436}
}
Summary
Bibtex
Coulomb gas transitions in three-dimensional classical dimer models ,
Gang Chen, Jan Gukelberger, Simon Trebst, Fabien Alet & Leon Balents: (2009).
Close-packed, classical dimer models on three-dimensional, bipartite lattices harbor a Coulomb phase with power-law correlations at infinite temperature. Here, we discuss the nature of the thermal phase transition out of this Coulomb phase for a variety of dimer models which energetically favor crystalline dimer states with columnar ordering. For a family of these models we find a direct thermal transition from the Coulomb phase to the dimer crystal. While some systems exhibit (strong) first-order transitions in correspondence with the Landau-Ginzburg-Wilson paradigm, we also find clear numerical evidence for continuous transitions. A second family of models undergoes two consecutive thermal transitions with an intermediate paramagnetic phase separating the Coulomb phase from the dimer crystal. We can describe all of these phase transitions in one unifying framework of candidate field theories with two complex Ginzburg-Landau fields coupled to a U(1) gauge field. We derive the symmetry-mandated Ginzburg-Landau actions in these field variables for the various dimer models and discuss implications for their respective phase transitions.
@Article{chen:045112,
author = {Gang Chen and Jan Gukelberger and Simon Trebst and Fabien Alet and Leon Balents},
title = {{Coulomb gas transitions in three-dimensional classical dimer models}},
journal = {Physical Review B (Condensed Matter and Materials Physics)},
year = {2009},
volume = {80},
number = {4},
pages = {045112},
url = {http://link.aps.org/abstract/PRB/v80/e045112}
}
Summary
Bibtex
Magnetic frustration on the diamond lattice of the A-site magnetic spinels CoAl$_2-x$Ga$_x$O$_4$: The role of lattice expansion and site disorder ,
B.C. Melot, K. Page, R. Seshadri, EM Stoudenmire, L. Balents, D.L. Bergman & T. Proffen: (2009).
The spinels CoB$_2$O$_4$ with magnetic Co$^{2+}$ ions on the diamond lattice A site can be frustrated because of competing near-neighbor ($J_1$) and next-near neighbor ($J_2$) interactions. Here we describe attempts to tune the relative strengths of these interactions by substitution on the non-magnetic B-site. The system we employ is CoAl$_{2-x}$Ga$_x$O$_4$, where Al is systematically replaced by the larger Ga, ostensibly on the B site. As expected, Ga substitution expands the lattice, resulting in Co atoms on the A-site being pushed further from one other and thereby weakening magnetic interactions. In addition, Ga distributes between the B and the A site in a concentration dependent manner displacing an increasing amount of Co from the A site with increasing $x$. This increased inversion, which is confirmed by neutron diffraction studies carried out at room temperature, affects magnetic ordering very significantly, and changes the nature of the ground state. Modeling of the magnetic coupling illustrates the complexity that arises from the cation site disorder.
@Article{melot2008tmf,
author = {Melot, B.C. and Page, K. and Seshadri, R. and Stoudenmire, EM and Balents, L. and Bergman, D.L. and Proffen, T.},
title = {{Magnetic frustration on the diamond lattice of the A-site magnetic spinels CoAl$_{2-x}$Ga$_x$O$_4$: The role of lattice expansion and site disorder}},
journal = {Physical Review B},
year = {2009},
volume = {80},
pages = {104420},
url = {http://link.aps.org/doi/10.1103/PhysRevB.80.104420}
}
Summary
Bibtex
Bismuth in strong magnetic fields: Unconventional Zeeman coupling and correlation effects ,
Jason Alicea & Leon Balents: (2009).
Recent experiments on bismuth have uncovered remarkably rich magnetization structure at fields well beyond the regime in which all carriers are expected to reside in the lowest Landau level. Motivated by these findings, we start from a microscopic tight-binding model and derive a low-energy Hamiltonian for the holes and three Dirac electrons pockets in bismuth. We find that an unconventional electron Zeeman effect, overlooked previously, suppresses the quantum limit for the electrons dramatically, giving rise to the observed anomalous magnetization structure. We further study interaction effects near fields at which the 2nd Landau level for one electron pocket empties, where magnetization hysteresis was observed. Here we find instabilities towards both charge density wave and Wigner crystal phases, and propose that hysteresis arises from a first-order transition out of the latter.
@Article{alicea:241101,
author = {Jason Alicea and Leon Balents},
title = {{Bismuth in strong magnetic fields: Unconventional Zeeman coupling and correlation effects}},
journal = {Physical Review B (Condensed Matter and Materials Physics)},
year = {2009},
volume = {79},
number = {24},
pages = {241101},
url = {http://link.aps.org/abstract/PRB/v79/e241101}
}
Summary
Bibtex
A Spin-Orbital Singlet and Quantum Critical Point on the Diamond Lattice: FeSc$_2$S$_4$ ,
Gang Chen, Leon Balents & Andreas P. Schnyder: (2009).
We present a theory of spin and orbital physics in the A-site spinel compound FeSc2S4, which experimentally exhibits a broad "spin-orbital liquid" regime. A spin-orbital Hamiltonian is derived from a combination of microscopic consideration and symmetry analysis. We demonstrate a keen competition between spin-orbit interactions, which favor formation of a local "Spin-Orbital Singlet" (SOS), and exchange, which favors magnetic and orbital ordering. Separating the SOS from the ordered state is a quantum critical point (QCP). We argue that FeSc2S4 is close to this QCP on the SOS side. The full phase diagram of the model includes a commensurate-incommensurate transition within the ordered phase. A variety of comparison to and suggestion for experiments are discussed.
@Article{chen2008sos,
author = {Gang Chen and Leon Balents and Andreas P. Schnyder},
title = {{{A Spin-Orbital Singlet and Quantum Critical Point on the Diamond Lattice: FeSc$_2$S$_4$}}},
journal = {Physical Review Letters},
year = {2009},
volume = {102},
number = {9},
pages = {096406},
url = {http://link.aps.org/abstract/PRL/v102/e096406}
}
Summary
Bibtex
Dynamical properties of spatially anisotropic frustrated Heisenberg models in a magnetic field ,
M. Kohno, L. Balents & O.A. Starykh: (2009).
@Article{kohno2009dps,
author = {Kohno, M. and Balents, L. and Starykh, O.A.},
title = {{{Dynamical properties of spatially anisotropic frustrated Heisenberg models in a magnetic field}}},
journal = {Journal of Physics: Conference Series},
year = {2009},
volume = {145},
number = {1},
pages = {012062},
url = {http://dx.doi.org/10.1088/1742-6596/145/1/012062}
}
Summary
Bibtex
Theory of the ordered phase in A-site antiferromagnetic spinels ,
S.B. Lee & L. Balents: (2008).
{Insulating spinel materials, with the chemical formula AB(2)X(4), behave as diamond lattice antiferromagnets when only the A-site atom is magnetic. Many exhibit classic signatures of frustration, induced not geometrically but by competing first- and second-neighbor exchange interactions. In this paper, we further develop a theory [}D. Bergman , Nat. Phys. 3, 487 (2007)] of the magnetism of these materials, focusing on the physics observable within the ordered state. We derive a phenomenological Landau theory that predicts the orientation of the spins within incommensurate spiral ordered states. It also describes how the spins reorient in a magnetic field and how they may undergo a low-temperature ``lock-in'' transition to a commensurate state. We discuss microscopic mechanisms for these magnetic-anisotropy effects. The reduction in the ordered moment by quantum fluctuations is shown to be enhanced due to frustration. Our results are compared to experiments on MnSc2S4, the best characterized of such A-site spinels, and more general implications are discussed. One prediction is that magnetically induced ferroelectricity is generic in these materials, and a detailed description of the relation of the electric polarization to the magnetism is given.
@Article{lee2008top,
author = {Lee, S.B. and Balents, L.},
title = {{{Theory of the ordered phase in A-site antiferromagnetic spinels}}},
journal = {Physical Review B},
year = {2008},
volume = {78},
pages = {14},
url = {http://dx.doi.org/10.1103/PhysRevB.78.144417}
}
Summary
Bibtex
Spatially Anisotropic Heisenberg Kagome Antiferromagnet ,
Andreas P. Schnyder, Oleg A. Starykh & Leon Balents: (2008).
We study the quasi-one-dimensional limit of the spin-1/2 quantum Heisenberg antiferromagnet on the kagome lattice. The lattice is divided into antiferromagnetic spin-chains (exchange J) that are weakly coupled via intermediate "dangling" spins (exchange $J'$). Using one-dimensional bosonization, renormalization group methods, and current algebra techniques the ground state is determined in the limit $J'\ll J$. We find that the dangling spins and chain spins form a spiral with O(1) and O(J'/J) static moments, respectively, atop of which the chain spins exhibit a smaller O[(J'/J)^2] antiferromagnetically ordered component along the axis perpendicular to the spiral plane.
@Article{schnyder08:_spatial_anisot_heisen_kagom_antif,
author = {Andreas P. Schnyder and Oleg A. Starykh and Leon Balents},
title = {{Spatially Anisotropic Heisenberg Kagome Antiferromagnet}},
journal = {Phys. Rev. B},
year = {2008},
volume = {78},
pages = {174420},
url = {http://link.aps.org/doi/10.1103/PhysRevB.78.174420}
}
Summary
Bibtex
Gapless Spin Liquids on the Three-Dimensional Hyperkagome Lattice of Na$_4$Ir$_3$O$_8$ ,
M.J. Lawler, A. Paramekanti, Y.B. Kim & L. Balents: (2008).
Recent experiments indicate that Na$_4$Ir$_3$O$_8$, a material in which s=1/2 iridium local moments form a three dimensional network of corner-sharing triangles, may have a quantum spin liquid ground state with gapless spin excitations. Using a combination of exact diagonalization, symmetry analysis of fermionic mean field ground states and Gutzwiller projected variational wavefunction studies, we propose a quantum spin liquid with spinon Fermi surfaces as a favorable candidate for the ground state of the Heisenberg model on the hyper-kagome lattice of Na$_4$Ir$_3$O$_8$. We present a renormalized mean field theory of the specific heat of this spin liquid and also discuss possible low temperature instabilities of the spinon Fermi surfaces.
@Article{lawler2008gsl,
author = {Lawler, M.J. and Paramekanti, A. and Kim, Y.B. and Balents, L.},
title = {{{Gapless Spin Liquids on the Three-Dimensional Hyperkagome Lattice of Na$_4$Ir$_3$O$_8$}}},
journal = {Physical Review Letters},
year = {2008},
volume = {101},
number = {197202},
pages = {197202},
url = {http://link.aps.org/doi/10.1103/PhysRevLett.101.197202}
}
Summary
Bibtex
Spin-orbit effects in Na$_4$Ir$_3$O$_8$: A hyper-kagome lattice antiferromagnet ,
Gang Chen & Leon Balents: (2008).
We consider spin-orbit coupling effects in Na$_4$Ir$_3$O$_8$, a material in which Ir$^{4+}$ spins form an hyper-kagom\'{e} lattice, a three-dimensional network of corner-sharing triangles. We argue that both low temperature thermodynamic measurements and the impurity susceptibility induced by dilute substitution of Ti for Ir are suggestive of significant spin-orbit effects. Because of uncertainties in the crystal-field parameters, we consider two limits in which the spin-orbit coupling is either weak or strong compared to the non-cubic atomic splittings. A semi-microscopic calculation of the exchange Hamiltonian confirms that indeed large antisymmetric Dzyaloshinskii-Moriya (DM) and/or symmetric exchange anisotropy may be present. In the strong spin-orbit limit, the Ir-O-Ir superexchange contribution consists of unfrustrated strong symmetric exchange anisotropy, and we suggest that spin-liquid behavior is unlikely. In the weak spin-orbit limit, and for strong spin-orbit and direct Ir-Ir exchange, the Hamiltonian consists of Heisenberg and DM interactions. The DM coupling is parametrized by a three component DM vector (which must be determined empirically). For a range of orientation of this vector, frustration is relieved and an ordered state occurs. For other orientations, even the classical ground states are very complex. We perform spin-wave and exact diagonalization calculations which suggest the persistence of a quantum spin liquid in the latter regime. Applications to Na$_4$Ir$_3$O$_8$ and broader implications are discussed.
@Article{chen:094403,
author = {Gang Chen and Leon Balents},
title = {{Spin-orbit effects in {Na$_4$Ir$_3$O$_8$}: A hyper-kagome lattice antiferromagnet}},
journal = {Physical Review B (Condensed Matter and Materials Physics)},
year = {2008},
volume = {78},
number = {9},
pages = {094403},
url = {http://link.aps.org/abstract/PRB/v78/e094403}
}
Summary
Bibtex
Supersolid order of frustrated hard-core bosons in a triangular lattice system ,
H. C. Jiang, M. Q. Weng, Z. Y. Weng, D. N. Sheng & L. Balents: (2009).
{We numerically demonstrate that a supersolid phase exists in a frustrated hard-core boson system on a triangular lattice over a wide range of interaction strength. In the infinite repulsion (Ising) limit, we establish a mapping to the same problem with unfrustrated hopping, which connects the supersolid to the known results in that case. The weak superfluidity can be destroyed or strongly enhanced by a next-nearest-neighbor hopping term, which provides valuable information for experimental realization of a supersolid phase on optical lattice. A phase diagram for the frustrated anisotropic Heisenberg model on triangular lattice is also established.}
@Article{jiang9:_super_order_of_frust_hard,
author = {Jiang, H. C. and Weng, M. Q. and Weng, Z. Y. and Sheng, D. N. and Balents, L.},
title = {{{Supersolid order of frustrated hard-core bosons in a triangular lattice system}}},
journal = {{Physical Review B}},
year = {{2009}},
volume = {{79}},
number = {{2}},
month = {{JAN}},
pages = {{020409}},
url = {http://dx.doi.org/10.1103/PhysRevB.79.020409}
}
Summary
Bibtex
Band touching from real-space topology in frustrated hopping models ,
Doron L. Bergman, Congjun Wu & Leon Balents: (2008).
{We study ``frustrated'' hopping models, in which at least one energy band-at the maximum or minimum of the spectrum - is dispersionless. The states of the flat band (s) can be represented in a basis, which is fully localized, having support on a vanishing fraction of the system in the thermodynamic limit. In the majority of examples, a dispersive band touches the flat band (s) at a number of discrete points in momentum space. We demonstrate that this band touching is related to states which exhibit nontrivial topology in real-space. Specifically, these states have support on one-dimensional loops which wind around the entire system (with periodic boundary conditions). A counting argument is given that determines, in each case, whether there is band touching or none, in precise correspondence to the result of straightforward diagonalization. When they are present, the topological structure protects the band touchings in the sense that they can only be removed by perturbations, which also split the degeneracy of the flat band.}
@Article{bergman8:_band_touch_from_real_space,
author = {Bergman, Doron L. and Wu, Congjun and Balents, Leon},
title = {{{Band touching from real-space topology in frustrated hopping models}}},
journal = {{Physical Review B}},
year = {{2008}},
volume = {{78}},
number = {{12}},
month = {{SEP}},
pages = {{125104}},
url = {http://dx.doi.org/10.1103/PhysRevB.78.125104}
}
Summary
Bibtex
Ordered phases of the anisotropic kagome-lattice antiferromagnet in a magnetic field ,
E. A. Stoudenmire & Leon Balents: (2008).
The antiferromagnetic Heisenberg model on an anisotropic kagome lattice may be a good minimal model for real magnetic systems as well as a limit from which the isotropic case can be better understood. We therefore study the nearest-neighbor Heisenberg antiferromagnet on an anisotropic kagome lattice in a magnetic field. Such a system should be well described by weakly interacting spin chains, and we motivate a general form for the interaction by symmetry considerations and by perturbatively projecting out the inter-chain spins. In the spin 1/2 case, we find that the system exhibits a quantum phase transition from a ferrimagnetic ordered state to an XY ordered state as the field is increased. Finally, we discuss the appearance of magnetization plateaux in the ferrimagnetic phase.
@Article{stoudenmire8:_order_phases_of_anisot_kagom,
author = {Stoudenmire, E. A. and Balents, Leon},
title = {{Ordered phases of the anisotropic kagome-lattice antiferromagnet in a magnetic field}},
journal = {Physical Review B},
year = {2008},
volume = {77},
number = {17},
month = {MAY},
pages = {174414},
url = {http://dx.doi.org/10.1103/PhysRevB.77.174414}
}
Summary
Bibtex
Gradient expansion approach to multiple-band Fermi liquids ,
Ryuichi Shindou & Leon Balents: (2008).
Promoted by the recent progress of Berry phase physics in spin galvanomagnetic communities, we develop a systematic derivation of the reduced Keldysh equation (RKE) which captures the low-energy dynamics of quasi-particles constrained within doubly degenerate bands forming a single Fermi surface. Specifically, we project out the fully occupied/empty band degrees of freedom perturbatively in the gradient expansion, whose coupling constant measures how a system is disequilibrated. As for the electron-electron interactions, however, we only employ the so-called adiabatic assumption of the Fermi liquid theory, so that the effect of electron correlations onto the adiabatic transport of quasi-particles, i.e. the hermitian (real) part of the self-energy, is taken into account in an unbiased manner.
@Article{shindou08:_gradien_expan_approac_to_multip,
author = {Shindou, Ryuichi and Balents, Leon},
title = {{Gradient expansion approach to multiple-band Fermi liquids}},
journal = {Physical Review B},
year = {2008},
volume = {77},
number = {3},
month = {JAN},
pages = {035110},
url = {http://dx.doi.org/10.1103/PhysRevB.77.035110}
}
Summary
Bibtex
Spinons and triplons in spatially anisotropic frustrated antiferromagnets ,
Masanori Kohno, Oleg A. Starykh & Leon Balents: (2007).
The search for elementary excitations with fractional quantum numbers is a central challenge in modern condensed matter physics. We explore the possibility in a realistic model for several materials, the spin-1/2 spatially anisotropic frustrated Heisenberg antiferromagnet in two dimensions. By restricting the Hilbert space to that expressed by exact eigenstates of the Heisenberg chain, we derive an effective Schr\"odinger equation valid in the weak interchain-coupling regime. The dynamical spin correlations from this approach agree quantitatively with inelastic neutron measurements on the triangular antiferromagnet Cs_2CuCl_4. The spectral features in such antiferromagnets can be attributed to two types of excitations: descendents of one-dimensional spinons of individual chains, and coherently propagating "triplon" bound states of spinon pairs. We argue that triplons are generic features of spatially anisotropic frustrated antiferromagnets, and arise because the bound spinon pair lowers its kinetic energy by propagating between chains.
@Article{kohno07:_spinon_and_tripl_in_spatial,
author = {Kohno, Masanori and Starykh, Oleg A. and Balents, Leon},
title = {{Spinons and triplons in spatially anisotropic frustrated antiferromagnets}},
journal = {Nature Physics},
year = {2007},
volume = {3},
number = {11},
month = {NOV},
pages = {790-795},
url = {http://dx.doi.org/10.1038/nphys749}
}
Summary
Bibtex
Emergence of U(1) symmetry in the 3D XY model with Z$_q$ anisotropy. ,
Jie Lou, Anders W Sandvik & Leon Balents: (2007).
We study the three-dimensional XY model with a Zq anisotropic term. At temperatures T<Tc this dangerously irrelevant perturbation is relevant only above a length scale Lambda, which diverges as a power of the correlation length, Lambda approximately xi aq. Below Lambda the order parameter is U(1) symmetric. We derive the full scaling function controlling the emergence of U(1) symmetry and use Monte Carlo results to extract the exponent aq for q=4,...,8. We find that aq approximately a4(q/4)2, with a4 only marginally larger than 1. We discuss these results in the context of U(1) symmetry at deconfined quantum-critical points separating antiferromagnetic and valence-bond-solid states in quantum spin systems.
@Article{Lou2007,
author = {Jie Lou and Anders W Sandvik and Leon Balents},
title = {{Emergence of {U(1)} symmetry in the {3D} {XY} model with {Z}$_q$ anisotropy.}},
journal = {Phys Rev Lett},
year = {2007},
volume = {99},
number = {20},
month = {Nov},
pages = {207203},
url = {http://dx.doi.org/10.1103/PhysRevLett.99.207203}
}
Summary
Bibtex
Odd-integer quantum Hall effect in graphene: interaction and disorder effects. ,
L. Sheng, D. N. Sheng, F. D M Haldane & Leon Balents: (2007).
We study the competition between the long-range Coulomb interaction, disorder scattering, and lattice effects in the integer quantum Hall effect (IQHE) in graphene. By direct transport calculations, both nu=1 and nu=3 IQHE states are revealed in the lowest two Dirac Landau levels. However, the critical disorder strength above which the nu=3 IQHE is destroyed is much smaller than that for the nu=1 IQHE, which may explain the absence of a nu=3 plateau in recent experiments. While the excitation spectrum in the IQHE phase is gapless within numerical finite-size analysis, we do find and determine a mobility gap, which characterizes the energy scale of the stability of the IQHE. Furthermore, we demonstrate that the nu=1 IQHE state is a Dirac valley and sublattice polarized Ising pseudospin ferromagnet, while the nu=3 state is an xy plane polarized pseudospin ferromagnet.
@Article{Sheng2007,
author = {L. Sheng and D. N. Sheng and F. D M Haldane and Leon Balents},
title = {{Odd-integer quantum Hall effect in graphene: interaction and disorder effects.}},
journal = {Phys Rev Lett},
year = {2007},
volume = {99},
number = {19},
month = {Nov},
pages = {196802},
url = {http://dx.doi.org/10.1103/PhysRevLett.99.196802}
}
Summary
Bibtex
Flat bands and Wigner crystallization in the honeycomb optical lattice. ,
Congjun Wu, Doron Bergman, Leon Balents & S. Das Sarma: (2007).
We study the ground states of cold atoms in the tight-binding bands built from p orbitals on a two dimensional honeycomb optical lattice. The band structure includes two completely flat bands. Exact many-body ground states with on-site repulsion can be found at low particle densities, for both fermions and bosons. We find crystalline order at n=1/6 with a sqrt[3] x sqrt[3] structure breaking a number of discrete lattice symmetries. In fermionic systems, if the repulsion is strong enough, we find the bonding strength becomes dimerized at n=1/2. Experimental signatures of crystalline order can be detected through the noise correlations in time of flight experiments.
@Article{Wu2007,
author = {Congjun Wu and Doron Bergman and Leon Balents and S. Das Sarma},
title = {{Flat bands and Wigner crystallization in the honeycomb optical lattice.}},
journal = {Phys Rev Lett},
year = {2007},
volume = {99},
number = {7},
month = {Aug},
pages = {070401},
url = {http://dx.doi.org/10.1103/PhysRevLett.99.070401}
}
Summary
Bibtex
Semiclassical dynamics and long time asymptotics of the central spin problem ,
Gang Chen, Doron L. Bergman & Leon Balents: (2007).
@Article{chen07:_semic,
author = {Gang Chen and Doron L. Bergman and Leon Balents},
title = {{Semiclassical dynamics and long time asymptotics of the central spin problem}},
journal = {Physical Review B},
year = {2007},
volume = {76},
number = {4},
pages = {45312},
url = {http://dx.doi.org/10.1103/PhysRevB.76.045312}
}
Summary
Bibtex
Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets ,
Doron Bergman, Jason Alicea, Emanuel Gull, Simon Trebst & Leon Balents: (2007).
@Article{bergman07:_order,
author = {Doron Bergman and Jason Alicea and Emanuel Gull and Simon Trebst and Leon Balents},
title = {{Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets}},
journal = {Nature Physics},
year = {2007},
volume = {3},
pages = {487--491},
url = {http://dx.doi.org/10.1038/nphys622}
}
Summary
Bibtex
Topological invariants of time-reversal-invariant band structures ,
J. E. Moore & L. Balents: (2007).
@Article{Moore2007,
author = {J.~E. Moore and L. Balents},
title = {{Topological invariants of time-reversal-invariant band structures}},
journal = {Physical Review B},
year = {2007},
volume = {75},
pages = {121306},
url = {http://dx.doi.org/10.1103/PhysRevB.75.121306}
}
Summary
Bibtex
Dual vortex theory of doped antiferromagnets ,
L. Balents & S. Sachdev: (2007).
@Article{Balents2007,
author = {Balents, L. and Sachdev, S.},
title = {{{Dual vortex theory of doped antiferromagnets}}},
journal = {Ann. Phys},
year = {2007},
volume = {322},
pages = {2635--2664},
url = {http://dx.doi.org/10.1016/j.aop.2007.02.001}
}
Summary
Bibtex
Effective Hamiltonians for some highly frustrated magnets ,
Doron L. Bergman, Ryuichi Shindou, Gregory A. Fiete & Leon Balents: (2007).
This paper provides a gentle review of our recent work deriving effective Hamiltonians for quantum antiferromagnetic nearest-neighbor antiferromagnetic XXZ models on certain geometrically frustrated lattices such as the kagome, checkerboard, and pyrochlore structures. A more detailed exposition of the derivations of these results is in cond-mat/0607210.
@Article{bergman-2007-19,
author = {Doron L. Bergman and Ryuichi Shindou and Gregory A. Fiete and Leon Balents},
title = {{Effective Hamiltonians for some highly frustrated magnets}},
journal = {J. Phys. Condens.Matt.},
year = {2007},
volume = {19},
pages = {145204},
url = {http://dx.doi.org/10.1088/0953-8984/19/14/145204}
}
Summary
Bibtex
Degenerate perturbation theory of quantum fluctuations in a pyrochlore antiferromagnet ,
Doron L. Bergman, Ryuichi Shindou, Gregory A. Fiete & Leon Balents: (2007).
The paper provides details of degenerate perturbation theory for deriving an effective Hamiltonian for the pyrochlore lattice antiferromagnet. Generalizations are found in cond-mat/0608131.
@Article{Bergman2007,
author = {Doron L. Bergman and Ryuichi Shindou and Gregory A. Fiete and Leon Balents},
title = {{Degenerate perturbation theory of quantum fluctuations in a pyrochlore antiferromagnet}},
journal = {Physical Review B},
year = {2007},
volume = {75},
pages = {094403},
url = {http://dx.doi.org/10.1103/PhysRevB.75.094403}
}
Summary
Bibtex
Ordering in spatially anisotropic triangular antiferromagnets ,
O. A. Starykh & L. Balents: (2007).
The spin s=1/2 Heisenberg antiferromagnet on a triangular lattice has been an archetype for frustrated quantum magnets for decades. While the isotropic model is believed to be magnetically ordered, many have speculated that it is "close" to having a quantum disordered non-magnetic ground state. Several materials under current experimental investigation, most notably Cs2CuCl4 and Cs2CuBr4 can be described as spatially anisotropic deformations of this model Hamiltonian. We show how this problem can be solved in the limit, appropriate to these materials, in which the triangular lattice is decomposed into weakly-coupled spin chains. One of our results is that, for very weak inter-chain coupling, the ground state of this system is indeed non-magnetic and spontaneously dimerized
@Article{Starykh2007,
author = {Starykh, O. A. and Balents, L.},
title = {{Ordering in spatially anisotropic triangular antiferromagnets}},
journal = {Physical Review Letters},
year = {2007},
volume = {98},
number = {7},
month = {February},
pages = {077205},
url = {http://link.aps.org/abstract/PRL/v98/e077205}
}
Summary
Bibtex
Artificial electric field in Fermi liquids ,
R. Shindou & L. Balents: (2006).
@Article{Shindou2006,
author = {Shindou, R. and Balents, L.},
title = {{Artificial electric field in Fermi liquids}},
journal = {Physical Review Letters},
year = {2006},
volume = {97},
number = {21},
month = {November},
pages = {216601},
url = {http://link.aps.org/abstract/PRL/v97/e216601}
}
Summary
Bibtex
Models of degeneracy breaking in pyrochlore antiferromagnets ,
Doron L. Bergman, Ryuichi Shindou, Gregory A. Fiete & Leon Balents: (2006).
In this paper we discuss classical mechanisms by which the degeneracy of the nearest-neighbor antiferromagnet on the pyrochlore lattice can be split. We focus on spin-lattice coupling, believed to be dominant in the spinel chromites. Contrary to previous treatments, we make no assumptions about the symmetry of the low temperature lattice distortion, but instead study a simple but general Einstein model. The results seem to be in rather good agreement with experiments.
@Article{Bergman2006d,
author = {Doron L. Bergman and Ryuichi Shindou and Gregory A. Fiete and Leon Balents},
title = {{Models of degeneracy breaking in pyrochlore antiferromagnets}},
journal = {Physical Review B},
year = {2006},
volume = {74},
pages = {134409},
url = {http://link.aps.org/abstract/PRB/v74/e134409}
}
Summary
Bibtex
Quantum effects in a half-polarized pyrochlore antiferromagnet (vol 96, art no 097207, 2006) ,
D. L. Bergman, R. Shindou, G. A. Fiete & L. Balents: (2006).
@Article{Bergman2006e,
author = {Bergman, D. L. and Shindou, R. and Fiete, G. A. and Balents, L.},
title = {{Quantum effects in a half-polarized pyrochlore antiferromagnet (vol 96, art no 097207, 2006)}},
journal = {Physical Review Letters},
year = {2006},
volume = {97},
number = {13},
month = {September},
pages = {139906},
url = {http://link.aps.org/abstract/PRL/v97/e139906}
}
Summary
Bibtex
Quantum effects in a half-polarized pyrochlore antiferromagnet ,
D. L. Bergman, R. Shindou, G. A. Fiete & L. Balents: (2006).
This is a short version of the calculations reported in cond-mat/0607210, deriving and analyzing the effective Hamiltonian describing fluctuations in the half-polarized quantum pyrochlore antiferromagnet. Unfortunately an error in the calculations here (corrected in the later cond-mat) led us to overestimate the importance of quantum effects for s=3/2. However the qualitative conclusions for that model remain true.
@Article{Bergman2006a,
author = {Bergman, D. L. and Shindou, R. and Fiete, G. A. and Balents, L.},
title = {{Quantum effects in a half-polarized pyrochlore antiferromagnet}},
journal = {Physical Review Letters},
year = {2006},
volume = {96},
number = {9},
month = {March},
pages = {97207},
url = {http://link.aps.org/abstract/PRL/v96/e097207}
}
Summary
Bibtex
Detecting the quantum zero-point motion of vortices in the cuprate superconductors ,
L. Bartosch, L. Balents & S. Sachdev: (2006).
In this paper, we propose that "competing order" in the vortex core could be used to measure the mass of a vortex. The idea is based ona theory of the quantum dynamics of vortices in two-dimensional superfluids (and superconductors) proximate to Mott insulators (see cond-mat/0408329 and cond-mat/0409470 ). The theory predicts modulations in the local density of states in the regions over which the vortices execute their quantum zero point motion. We use the spatial extent of such modulations in scanning tunnelling microscopy measurements (Hoffman et al., cond-mat/0201348) on the vortex lattice of BSCCO to estimate the inertial mass of a point vortex. We discuss other, more direct, experimental signatures of the vortex dynamics.
@Article{Bartosch2006,
author = {Bartosch, L. and Balents, L. and Sachdev, S.},
title = {{Detecting the quantum zero-point motion of vortices in the cuprate superconductors}},
journal = {Annals of Physics},
year = {2006},
volume = {321},
number = {7},
month = {July},
pages = {1528--1546},
url = {http://dx.doi.org/10.1016/j.aop.2006.04.001}
}
Summary
Bibtex
Ordering in a frustrated pyrochlore antiferromagnet proximate to a spin liquid ,
D. L. Bergman, G. A. Fiete & L. Balents: (2006).
In this paper, we use field-theoretic methods and a projective symmetry group analysis to answer the question: which magnetically ordered states are proximate to the U(1) spin liquid state of a half-polarized spin-1/2 pyrochlore antiferromagnet. The basic idea is that the confinement transition from a U(1) spin liquid to a confined and ordered state is driven by the condensation of magnetic monopoles. By analyzing the multiplet structure of such monopoles, one can construct the order parameters and a Ginzburg-Landau-like theory for the ordered states. We find that the simplest ordered state in this case is the R, described elsewhere on these pages.
@Article{Bergman2006,
author = {Bergman, D. L. and Fiete, G. A. and Balents, L.},
title = {{Ordering in a frustrated pyrochlore antiferromagnet proximate to a spin liquid}},
journal = {Physical Review B},
year = {2006},
volume = {73},
number = {13},
month = {April},
pages = {134402},
url = {http://link.aps.org/abstract/PRB/v73/e134402}
}
Summary
Bibtex
Coulomb drag between two spin-incoherent Luttinger liquids ,
G. A. Fiete, K. Le Hur & L. Balents: (2006).
In this paper, we studied the Coulomb drag - mainly the contributions due to "2kF" and "4kF" scattering - between two quantum wires. When the interactions are strong (i.e. at low electron density), there is a dramatic suppression at non-zero temperature of the 2kF contribution, which is otherwise dominant. This leads to interesting and sometimes non-monotonic temperature dependence of the drag.
@Article{Fiete2006,
author = {Fiete, G. A. and Le Hur, K. and Balents, L.},
title = {{Coulomb drag between two spin-incoherent Luttinger liquids}},
journal = {Physical Review B},
year = {2006},
volume = {73},
number = {16},
month = {April},
pages = {165104},
url = {http://link.aps.org/abstract/PRB/v73/e165104}
}
Summary
Bibtex
Competing orders and non-Landau-Ginzburg-Wilson criticality in (Bose) Mott transitions ,
L. Balents, L. Bartosch, A. Burkov, S. Sachdev & K. Senoupta: (2005).
@Article{Balents2005b,
author = {Balents, L. and Bartosch, L. and Burkov, A. and Sachdev, S. and Senoupta, K.},
title = {{Competing orders and non-Landau-Ginzburg-Wilson criticality in (Bose) Mott transitions}},
journal = {Progress of Theoretical Physics Supplement},
year = {2005},
volume = {160},
number = {160},
pages = {314--336},
url = {http://ptp.ipap.jp/link?PTPS/160/314/}
}
Summary
Bibtex
Transport in a spin-incoherent Luttinger liquid ,
G. A. Fiete, K. Le Hur & L. Balents: (2005).
@Article{Fiete2005,
author = {Fiete, G. A. and Le Hur, K. and Balents, L.},
title = {{Transport in a spin-incoherent Luttinger liquid}},
journal = {Physical Review B},
year = {2005},
volume = {72},
number = {12},
month = {September},
pages = {125416},
url = {http://link.aps.org/abstract/PRB/v72/e125416}
}
Summary
Bibtex
Supersolid order from disorder: Hard-core bosons on the triangular lattice ,
R. G. Melko, A. Paramekanti, A. A. Burkov, A. Vishwanath, D. N. Sheng & L. Balents: (2005).
@Article{Melko2005,
author = {Melko, R. G. and Paramekanti, A. and Burkov, A. A. and Vishwanath, A. and Sheng, D. N. and Balents, L.},
title = {{Supersolid order from disorder: Hard-core bosons on the triangular lattice}},
journal = {Physical Review Letters},
year = {2005},
volume = {95},
number = {12},
month = {September},
pages = {127207},
url = {http://link.aps.org/abstract/PRL/v95/e127207}
}
Summary
Bibtex
Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet ,
O. A. Starykh, A. Furusaki & L. Balents: (2005).
@Article{Starykh2005,
author = {Starykh, O. A. and Furusaki, A. and Balents, L.},
title = {{Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet}},
journal = {Physical Review B},
year = {2005},
volume = {72},
number = {9},
month = {September},
pages = {94416},
url = {http://link.aps.org/abstract/PRB/v72/e094416}
}
Summary
Bibtex
Superfluid-insulator transitions on the triangular lattice ,
A. A. Burkov & L. Balents: (2005).
@Article{Burkov2005,
author = {Burkov, A. A. and Balents, L.},
title = {{Superfluid-insulator transitions on the triangular lattice}},
journal = {Physical Review B},
year = {2005},
volume = {72},
number = {13},
month = {October},
pages = {134502},
url = {http://link.aps.org/abstract/PRB/v72/e134502}
}
Summary
Bibtex
Transition to zero resistance in a two-dimensional electron gas driven with microwaves ,
J. Alicea, L. Balents, M. P. A. Fisher, A. Paramekanti & L. Radzihovsky: (2005).
@Article{Alicea2005,
author = {Alicea, J. and Balents, L. and Fisher, M. P. A. and Paramekanti, A. and Radzihovsky, L.},
title = {{Transition to zero resistance in a two-dimensional electron gas driven with microwaves}},
journal = {Physical Review B},
year = {2005},
volume = {71},
number = {23},
month = {June},
pages = {235322},
url = {http://link.aps.org/abstract/PRB/v71/e235322}
}
Summary
Bibtex
Thermal fluctuations in pinned elastic systems: field theory of rare events and droplets ,
L. Balents & P. Le Doussal: (2005).
@Article{Balents2005d,
author = {Balents, L. and Le Doussal, P.},
title = {{Thermal fluctuations in pinned elastic systems: field theory of rare events and droplets}},
journal = {Annals of Physics},
year = {2005},
volume = {315},
number = {1},
month = {January},
pages = {213--303},
url = {http://dx.doi.org/10.1016/j.aop.2004.10.001}
}
Summary
Bibtex
Roton Fermi liquid: A metallic phase of two-dimensional electrons ,
L. Balents & M. P. A. Fisher: (2005).
@Article{Balents2005c,
author = {Balents, L. and Fisher, M. P. A.},
title = {{Roton Fermi liquid: A metallic phase of two-dimensional electrons}},
journal = {Physical Review B},
year = {2005},
volume = {71},
number = {8},
month = {February},
pages = {085119},
url = {http://link.aps.org/abstract/PRB/v71/e085119}
}
Summary
Bibtex
Putting competing orders in their place near the Mott transition ,
L. Balents, L. Bartosch, A. Burkov, S. Sachdev & K. Sengupta: (2005).
@Article{Balents2005,
author = {Balents, L. and Bartosch, L. and Burkov, A. and Sachdev, S. and Sengupta, K.},
title = {{Putting competing orders in their place near the Mott transition}},
journal = {Physical Review B},
year = {2005},
volume = {71},
number = {14},
month = {April},
pages = {144508},
url = {http://link.aps.org/abstract/PRB/v71/e144508}
}
Summary
Bibtex
Putting competing orders in their place near the Mott transition. II. The doped quantum dimer model ,
L. Balents, L. Bartosch, A. Burkov, S. Sachdev & K. Sengupta: (2005).
@Article{Balents2005a,
author = {Balents, L. and Bartosch, L. and Burkov, A. and Sachdev, S. and Sengupta, K.},
title = {{Putting competing orders in their place near the Mott transition. II. The doped quantum dimer model}},
journal = {Physical Review B},
year = {2005},
volume = {71},
number = {14},
month = {April},
pages = {144509},
url = {http://link.aps.org/abstract/PRB/v71/e144509}
}
Summary
Bibtex
Numerical evidences of fractionalization in an easy-axis two-spin Heisenberg antiferromagnet ,
D. N. Sheng & L. Balents: (2005).
@Article{Sheng2005,
author = {Sheng, D. N. and Balents, L.},
title = {{Numerical evidences of fractionalization in an easy-axis two-spin Heisenberg antiferromagnet}},
journal = {Physical Review Letters},
year = {2005},
volume = {94},
number = {14},
month = {April},
pages = {146805},
url = {http://link.aps.org/abstract/PRL/v94/e146805}
}
Summary
Bibtex
Dimerized phase and transitions in a spatially anisotropic square lattice antiferromagnet ,
O. A. Starykh & L. Balents: (2004).
@Article{Starykh2004,
author = {Starykh, O. A. and Balents, L.},
title = {{Dimerized phase and transitions in a spatially anisotropic square lattice antiferromagnet}},
journal = {Physical Review Letters},
year = {2004},
volume = {93},
number = {12},
month = {September},
pages = {127202},
url = {http://link.aps.org/abstract/PRL/v93/e127202}
}
Summary
Bibtex
Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm ,
T. Senthil, L. Balents, S. Sachdev, A. Vishwanath & M. P. A. Fisher: (2004).
@Article{Senthil2004,
author = {Senthil, T. and Balents, L. and Sachdev, S. and Vishwanath, A. and Fisher, M. P. A.},
title = {{Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm}},
journal = {Physical Review B},
year = {2004},
volume = {70},
number = {14},
month = {October},
pages = {144407},
url = {http://link.aps.org/abstract/PRB/v70/e144407}
}
Summary
Bibtex
Green's function for magnetically incoherent interacting electrons in one dimension ,
G. A. Fiete & L. Balents: (2004).
@Article{Fiete2004,
author = {Fiete, G. A. and Balents, L.},
title = {{Green's function for magnetically incoherent interacting electrons in one dimension}},
journal = {Physical Review Letters},
year = {2004},
volume = {93},
number = {22},
month = {November},
pages = {226401},
url = {http://link.aps.org/abstract/PRL/v93/e226401}
}
Summary
Bibtex
Field theory of statics and dynamics of glasses: Rare events and barrier distributions ,
L. Balents & P. Le Doussal: (2004).
@Article{Balents2004,
author = {Balents, L. and Le Doussal, P.},
title = {{Field theory of statics and dynamics of glasses: Rare events and barrier distributions}},
journal = {Europhysics Letters},
year = {2004},
volume = {65},
number = {5},
month = {March},
pages = {685--691},
url = {http://www.edpsciences.org/articles/epl/abs/2004/05/epl8047/epl8047.html}
}
Summary
Bibtex
Deconfined quantum critical points ,
T. Senthil, A. Vishwanath, L. Balents, S. Sachdev & M. P. A. Fisher: (2004).
@Article{Senthil2004a,
author = {Senthil, T. and Vishwanath, A. and Balents, L. and Sachdev, S. and Fisher, M. P. A.},
title = {{Deconfined quantum critical points}},
journal = {Science},
year = {2004},
volume = {303},
number = {5663},
month = {March},
pages = {1490--1494},
url = {http://dx.doi.org/10.1126/science.1091806}
}
Summary
Bibtex
Broad relaxation spectrum and the field theory of glassy dynamics for pinned elastic systems ,
L. Balents & P. Le Doussal: (2004).
@Article{Balents2004a,
author = {Balents, L. and Le Doussal, P.},
title = {{Broad relaxation spectrum and the field theory of glassy dynamics for pinned elastic systems}},
journal = {Physical Review E},
year = {2004},
volume = {69},
number = {6},
month = {June},
pages = {061107},
url = {http://link.aps.org/abstract/PRE/v69/e061107}
}
Summary
Bibtex
Spin relaxation in a two-dimensional electron gas in a perpendicular magnetic field ,
A. A. Burkov & L. Balents: (2004).
@Article{Burkov2004,
author = {Burkov, A. A. and Balents, L.},
title = {{Spin relaxation in a two-dimensional electron gas in a perpendicular magnetic field}},
journal = {Physical Review B},
year = {2004},
volume = {69},
number = {24},
month = {June},
pages = {245312},
url = {http://link.aps.org/abstract/PRB/v69/e245312}
}
Summary
Bibtex
Ground state phases of the half-filled one-dimensional extended Hubbard model ,
A. W. Sandvik, L. Balents & D. K. Campbell: (2004).
@Article{Sandvik2004,
author = {Sandvik, A. W. and Balents, L. and Campbell, D. K.},
title = {{Ground state phases of the half-filled one-dimensional extended Hubbard model}},
journal = {Physical Review Letters},
year = {2004},
volume = {92},
number = {23},
month = {June},
pages = {236401},
url = {http://link.aps.org/abstract/PRL/v92/e236401}
}
Summary
Bibtex
Quantum criticality and deconfinement in phase transitions between valence bond solids ,
A. Vishwanath, L. Balents & T. Senthil: (2004).
@Article{Vishwanath2004,
author = {Vishwanath, A. and Balents, L. and Senthil, T.},
title = {{Quantum criticality and deconfinement in phase transitions between valence bond solids}},
journal = {Physical Review B},
year = {2004},
volume = {69},
number = {22},
month = {June},
pages = {224416},
url = {http://link.aps.org/abstract/PRB/v69/e224416}
}
Summary
Bibtex
Pyrochlore photons: The U(1) spin liquid in a S=1/2 three-dimensional frustrated magnet ,
M. Hermele, M. P. A. Fisher & L. Balents: (2004).
@Article{Hermele2004,
author = {Hermele, M. and Fisher, M. P. A. and Balents, L.},
title = {{Pyrochlore photons: The U(1) spin liquid in a S=1/2 three-dimensional frustrated magnet}},
journal = {Physical Review B},
year = {2004},
volume = {69},
number = {6},
month = {February},
pages = {064404},
url = {http://link.aps.org/abstract/PRB/v69/e064404}
}
Summary
Bibtex
Spin precession and oscillations in mesoscopic systems ,
M. Y. Veillette, C. Bena & L. Balents: (2004).
@Article{Veillette2004,
author = {Veillette, M. Y. and Bena, C. and Balents, L.},
title = {{Spin precession and oscillations in mesoscopic systems}},
journal = {Physical Review B},
year = {2004},
volume = {69},
number = {7},
month = {February},
pages = {075319},
url = {http://link.aps.org/abstract/PRB/v69/e075319}
}
Summary
Bibtex
Spin pumping and magnetization dynamics in ferromagnet-Luttinger liquid junctions ,
C. Bena & L. Balents: (2004).
@Article{Bena2004,
author = {Bena, C. and Balents, L.},
title = {{Spin pumping and magnetization dynamics in ferromagnet-Luttinger liquid junctions}},
journal = {Physical Review B},
year = {2004},
volume = {70},
number = {24},
month = {December},
pages = {245318},
url = {http://link.aps.org/abstract/PRB/v70/e245318}
}
Summary
Bibtex
Charge accumulation on a Luttinger liquid ,
J. Alicea, C. Bena, L. Balents & M. P. A. Fisher: (2004).
@Article{Alicea2004,
author = {Alicea, J. and Bena, C. and Balents, L. and Fisher, M. P. A.},
title = {{Charge accumulation on a Luttinger liquid}},
journal = {Physical Review B},
year = {2004},
volume = {69},
number = {15},
month = {April},
pages = {155332},
url = {http://link.aps.org/abstract/PRB/v69/e155332}
}
Summary
Bibtex
Phase diagram for quantum Hall bilayers at nu=1 ,
D. N. Sheng, L. Balents & Z. Q. Wang: (2003).
@Article{Sheng2003,
author = {Sheng, D. N. and Balents, L. and Wang, Z. Q.},
title = {{Phase diagram for quantum Hall bilayers at nu=1}},
journal = {Physical Review Letters},
year = {2003},
volume = {91},
number = {11},
month = {September},
pages = {116802},
url = {http://link.aps.org/abstract/PRL/v91/e116802}
}
Summary
Bibtex
Fabry-Perot interference and spin filtering in carbon nanotubes ,
C. S. Peca, L. Balents & K. J. Wiese: (2003).
@Article{Peca2003,
author = {Peca, C. S. and Balents, L. and Wiese, K. J.},
title = {{Fabry-Perot interference and spin filtering in carbon nanotubes}},
journal = {Physical Review B},
year = {2003},
volume = {68},
number = {20},
month = {November},
pages = {205423},
url = {http://link.aps.org/abstract/PRB/v68/e205423}
}
Summary
Bibtex
Anomalous Hall effect in ferromagnetic semiconductors in the hopping transport regime ,
A. A. Burkov & L. Balents: (2003).
@Article{Burkov2003,
author = {Burkov, A. A. and Balents, L.},
title = {{Anomalous Hall effect in ferromagnetic semiconductors in the hopping transport regime}},
journal = {Physical Review Letters},
year = {2003},
volume = {91},
number = {5},
month = {August},
pages = {057202},
url = {http://link.aps.org/abstract/PRL/v91/e057202}
}
Summary
Bibtex
XY ring-exchange model on the triangular lattice ,
L. Balents & A. Paramekanti: (2003).
@Article{Balents2003,
author = {Balents, L. and Paramekanti, A.},
title = {{{XY} ring-exchange model on the triangular lattice}},
journal = {Physical Review B},
year = {2003},
volume = {67},
number = {13},
month = {April},
pages = {134427},
url = {http://link.aps.org/abstract/PRB/v67/e134427}
}
Summary
Bibtex
Momentum-resolved tunneling between Luttinger liquids ,
D. Carpentier, C. Peca & L. Balents: (2002).
@Article{Carpentier2002a,
author = {Carpentier, D. and Peca, C. and Balents, L.},
title = {{Momentum-resolved tunneling between Luttinger liquids}},
journal = {Physical Review B},
year = {2002},
volume = {66},
number = {15},
month = {October},
pages = {153304},
url = {http://link.aps.org/abstract/PRB/v66/e153304}
}
Summary
Bibtex
Quasiparticles in the 111 state and its compressible ancestors ,
M. Y. Veillette, L. Balents & M. P. A. Fisher: (2002).
@Article{Veillette2002a,
author = {Veillette, M. Y. and Balents, L. and Fisher, M. P. A.},
title = {{Quasiparticles in the 111 state and its compressible ancestors}},
journal = {Physical Review B},
year = {2002},
volume = {66},
number = {15},
month = {October},
pages = {155401},
url = {http://link.aps.org/abstract/PRB/v66/e155401}
}
Summary
Bibtex
Andreev current in finite-size carbon nanotubes ,
S. Vishveshwara, C. Bena, L. Balents & M. P. A. Fisher: (2002).
@Article{Vishveshwara2002,
author = {Vishveshwara, S. and Bena, C. and Balents, L. and Fisher, M. P. A.},
title = {{Andreev current in finite-size carbon nanotubes}},
journal = {Physical Review B},
year = {2002},
volume = {66},
number = {16},
month = {October},
pages = {165411},
url = {http://link.aps.org/abstract/PRB/v66/e165411}
}
Summary
Bibtex
Spin transport in a quantum wire ,
C. Bena & L. Balents: (2002).
@Article{Bena2002,
author = {Bena, C. and Balents, L.},
title = {{Spin transport in a quantum wire}},
journal = {Physical Review B},
year = {2002},
volume = {65},
number = {11},
month = {March},
pages = {115108},
url = {http://link.aps.org/abstract/PRB/v65/e115108}
}
Summary
Bibtex
Fractionalization in an easy-axis Kagome antiferromagnet ,
L. Balents, M. P. A. Fisher & S. M. Girvin: (2002).
@Article{Balents2002,
author = {Balents, L. and Fisher, M. P. A. and Girvin, S. M.},
title = {{Fractionalization in an easy-axis Kagome antiferromagnet}},
journal = {Physical Review B},
year = {2002},
volume = {65},
number = {22},
month = {June},
pages = {224412},
url = {http://link.aps.org/abstract/PRB/v65/e224412}
}
Summary
Bibtex
Quantum entanglement in carbon nanotubes ,
C. Bena, S. Vishveshwara, L. Balents & M. P. A. Fisher: (2002).
@Article{Bena2002a,
author = {Bena, C. and Vishveshwara, S. and Balents, L. and Fisher, M. P. A.},
title = {{Quantum entanglement in carbon nanotubes}},
journal = {Physical Review Letters},
year = {2002},
volume = {89},
number = {3},
month = {July},
pages = {037901},
url = {http://link.aps.org/abstract/PRL/v89/e037901}
}
Summary
Bibtex
Field theory for generalized Shastry-Sutherland models ,
D. Carpentier & L. Balents: (2002).
@Article{Carpentier2002,
author = {Carpentier, D. and Balents, L.},
title = {{Field theory for generalized Shastry-Sutherland models}},
journal = {Physical Review B},
year = {2002},
volume = {65},
number = {2},
month = {January},
pages = {024427},
url = {http://link.aps.org/abstract/PRB/v66/e153304}
}
Summary
Bibtex
Weak ferromagnetism and excitonic condensates ,
M. Y. Veillette & L. Balents: (2002).
@Article{Veillette2002,
author = {Veillette, M. Y. and Balents, L.},
title = {{Weak ferromagnetism and excitonic condensates}},
journal = {Physical Review B},
year = {2002},
volume = {65},
number = {1},
month = {January},
pages = {014428},
url = {http://link.aps.org/abstract/PRB/v65/e014428}
}
Summary
Bibtex
Ring exchange, the exciton Bose liquid, and bosonization in two dimensions ,
A. Paramekanti, L. Balents & M. P. A. Fisher: (2002).
@Article{Paramekanti2002,
author = {Paramekanti, A. and Balents, L. and Fisher, M. P. A.},
title = {{Ring exchange, the exciton Bose liquid, and bosonization in two dimensions}},
journal = {Physical Review B},
year = {2002},
volume = {66},
number = {5},
month = {August},
pages = {054526},
url = {http://link.aps.org/abstract/PRB/v66/e054526}
}
Summary
Bibtex
Measuring fractional charge in carbon nanotubes ,
C. Bena, S. Vishveshwara, L. Balents & M. P. A. Fisher: (2001).
@Article{Bena2001,
author = {Bena, C. and Vishveshwara, S. and Balents, L. and Fisher, M. P. A.},
title = {{Measuring fractional charge in carbon nanotubes}},
journal = {Journal of Statistical Physics},
year = {2001},
volume = {103},
number = {3-4},
month = {May},
pages = {429--440},
url = {http://dx.doi.org/10.1023/A:1010376929353}
}
Summary
Bibtex
Spin-dependent transport in a Luttinger liquid ,
L. Balents & R. Egger: (2001).
@Article{Balents2001,
author = {Balents, L. and Egger, R.},
title = {{Spin-dependent transport in a Luttinger liquid}},
journal = {Physical Review B},
year = {2001},
volume = {6403},
number = {3},
month = {July},
pages = {035310},
url = {http://link.aps.org/abstract/PRB/v64/e035310}
}
Summary
Bibtex
Interlayer tunneling in double-layer quantum Hall pseudoferromagnets ,
L. Balents & L. Radzihovsky: (2001).
@Article{Balents2001a,
author = {Balents, L. and Radzihovsky, L.},
title = {{Interlayer tunneling in double-layer quantum Hall pseudoferromagnets}},
journal = {Physical Review Letters},
year = {2001},
volume = {86},
number = {9},
month = {February},
pages = {1825--1828},
url = {http://link.aps.org/abstract/PRL/v86/p1825}
}
Summary
Bibtex
Spin transport in interacting quantum wires and carbon nanotubes ,
L. Balents & R. Egger: (2000).
@Article{Balents2000b,
author = {Balents, L. and Egger, R.},
title = {{Spin transport in interacting quantum wires and carbon nanotubes}},
journal = {Physical Review Letters},
year = {2000},
volume = {85},
number = {16},
month = {October},
pages = {3464--3467},
url = {http://link.aps.org/abstract/PRL/v85/p3464}
}
Summary
Bibtex
Dual vortex theory of strongly interacting electrons: A non-Fermi liquid with a twist ,
L. Balents, M. P. A. Fisher & C. Nayak: (2000).
@Article{Balents2000c,
author = {Balents, L. and Fisher, M. P. A. and Nayak, C.},
title = {{Dual vortex theory of strongly interacting electrons: A non-Fermi liquid with a twist}},
journal = {Physical Review B},
year = {2000},
volume = {61},
number = {9},
month = {March},
pages = {6307--6319},
url = {http://link.aps.org/abstract/PRB/v61/p6307}
}
Summary
Bibtex
Excitonic order at strong coupling: Pseudospin, doping, and ferromagnetism ,
L. Balents: (2000).
@Article{Balents2000,
author = {Balents, L.},
title = {{Excitonic order at strong coupling: Pseudospin, doping, and ferromagnetism}},
journal = {Physical Review B},
year = {2000},
volume = {62},
number = {4},
month = {July},
pages = {2346--2357},
url = {http://link.aps.org/abstract/PRB/v62/p2346}
}
Summary
Bibtex
Communication through a diffusive medium: Coherence and capacity ,
A. L. Moustakas, H. U. Baranger, L. Balents, A. M. Sengupta & S. H. Simon: (2000).
@Article{Moustakas2000,
author = {Moustakas, A. L. and Baranger, H. U. and Balents, L. and Sengupta, A. M. and Simon, S. H.},
title = {{Communication through a diffusive medium: Coherence and capacity}},
journal = {Science},
year = {2000},
volume = {287},
number = {5451},
month = {January},
pages = {287--290},
url = {http://dx.doi.org/10.1126/science.287.5451.287}
}
Summary
Bibtex
X-ray-edge singularities in nanotubes and quantum wires with multiple subbands ,
L. Balents: (2000).
@Article{Balents2000a,
author = {Balents, L.},
title = {{X-ray-edge singularities in nanotubes and quantum wires with multiple subbands}},
journal = {Physical Review B},
year = {2000},
volume = {61},
number = {7},
month = {February},
pages = {4429--4432},
url = {http://link.aps.org/abstract/PRB/v61/p4429}
}
Summary
Bibtex
Ferromagnetism in doped excitonic insulators ,
L. Balents & C. M. Varma: (2000).
@Article{Balents2000d,
author = {Balents, L. and Varma, C. M.},
title = {{Ferromagnetism in doped excitonic insulators}},
journal = {Physical Review Letters},
year = {2000},
volume = {84},
number = {6},
month = {February},
pages = {1264--1267},
url = {http://link.aps.org/abstract/PRL/v84/p1264}
}
Summary
Bibtex
Carbon nanotube intramolecular junctions ,
Z. Yao, H. W. C. Postma, L. Balents & C. Dekker: (1999).
@Article{Yao1999,
author = {Yao, Z. and Postma, H. W. C. and Balents, L. and Dekker, C.},
title = {{Carbon nanotube intramolecular junctions}},
journal = {Nature},
year = {1999},
volume = {402},
number = {6759},
month = {November},
pages = {273--276},
url = {http://dx.doi.org/doi:10.1038/46241}
}
Summary
Bibtex
Dual order parameter for the nodal liquid ,
L. Balents, M. P. A. Fisher & C. Nayak: (1999).
@Article{Balents1999,
author = {Balents, L. and Fisher, M. P. A. and Nayak, C.},
title = {{Dual order parameter for the nodal liquid}},
journal = {Physical Review B},
year = {1999},
volume = {60},
number = {3},
month = {July},
pages = {1654--1667},
url = {http://link.aps.org/abstract/PRB/v60/p1654}
}
Summary
Bibtex
Quasiparticle transport and localization in high-T-c superconductors ,
T. Senthil, M. P. A. Fisher, L. Balents & C. Nayak: (1998).
@Article{Senthil1998,
author = {Senthil, T. and Fisher, M. P. A. and Balents, L. and Nayak, C.},
title = {{Quasiparticle transport and localization in high-T-c superconductors}},
journal = {Physical Review Letters},
year = {1998},
volume = {81},
number = {21},
month = {November},
pages = {4704--4707},
url = {http://link.aps.org/abstract/PRL/v81/p4704}
}
Summary
Bibtex
Exact SO(8) symmetry in the weakly-interacting two-leg ladder ,
H. H. Lin, L. Balents & M. P. A. Fisher: (1998).
@Article{Lin1998,
author = {Lin, H. H. and Balents, L. and Fisher, M. P. A.},
title = {{Exact SO(8) symmetry in the weakly-interacting two-leg ladder}},
journal = {Physical Review B},
year = {1998},
volume = {58},
number = {4},
month = {July},
pages = {1794--1825},
url = {http://link.aps.org/abstract/PRB/v58/p1794}
}
Summary
Bibtex
Nodal liquid theory of the pseudo-gap phase of high-T-c superconductors ,
L. Balents, M. P. A. Fisher & C. Nayak: (1998).
@Article{Balents1998,
author = {Balents, L. and Fisher, M. P. A. and Nayak, C.},
title = {{Nodal liquid theory of the pseudo-gap phase of high-T-c superconductors}},
journal = {International Journal of Modern Physics B},
year = {1998},
volume = {12},
number = {10},
month = {April},
pages = {1033--1068},
url = {http://dx.doi.org/10.1142/S0217979298000570}
}
Summary
Bibtex
Nonequilibrium steady states of driven periodic media ,
L. Balents, M. C. Marchetti & L. Radzihovsky: (1998).
@Article{Balents1998a,
author = {Balents, L. and Marchetti, M. C. and Radzihovsky, L.},
title = {{Nonequilibrium steady states of driven periodic media}},
journal = {Physical Review B},
year = {1998},
volume = {57},
number = {13},
month = {April},
pages = {7705--7739},
url = {http://link.aps.org/abstract/PRB/v57/p7705}
}
Summary
Bibtex
N-chain Hubbard model in weak coupling ,
H. H. Lin, L. Balents & M. P. A. Fisher: (1997).
@Article{Lin1997,
author = {Lin, H. H. and Balents, L. and Fisher, M. P. A.},
title = {{N-chain Hubbard model in weak coupling}},
journal = {Physical Review B},
year = {1997},
volume = {56},
number = {11},
month = {September},
pages = {6569--6593},
url = {http://link.aps.org/abstract/PRB/v56/p6569}
}
Summary
Bibtex
Delocalization transition via supersymmetry in one dimension ,
L. Balents & M. P. A. Fisher: (1997).
@Article{Balents1997,
author = {Balents, L. and Fisher, M. P. A.},
title = {{Delocalization transition via supersymmetry in one dimension}},
journal = {Physical Review B},
year = {1997},
volume = {56},
number = {20},
month = {November},
pages = {12970--12991},
url = {http://link.aps.org/abstract/PRB/v56/p12970}
}
Summary
Bibtex
Correlation effects in carbon nanotubes ,
L. Balents & M. P. A. Fisher: (1997).
@Article{Balents1997a,
author = {Balents, L. and Fisher, M. P. A.},
title = {{Correlation effects in carbon nanotubes}},
journal = {Physical Review B},
year = {1997},
volume = {55},
number = {18},
month = {May},
pages = {11973--11976},
url = {http://link.aps.org/abstract/PRB/v55/pR11973}
}
Summary
Bibtex
Chiral metal as a ferromagnetic super spin chain ,
L. Balents, M. P. A. Fisher & M. R. Zirnbauer: (1997).
@Article{Balents1997b,
author = {Balents, L. and Fisher, M. P. A. and Zirnbauer, M. R.},
title = {{Chiral metal as a ferromagnetic super spin chain}},
journal = {Nuclear Physics B},
year = {1997},
volume = {483},
number = {3},
month = {January},
pages = {601--636},
url = {http://dx.doi.org/10.1016/S0550-3213(96)00572-X}
}
Summary
Bibtex
Moving glass phase of driven lattices:Comment ,
L. Balents, M. C. Marchetti & L. Radzihovsky: (1997).
@Article{Balents1997c,
author = {Balents, L. and Marchetti, M. C. and Radzihovsky, L.},
title = {{Moving glass phase of driven lattices:Comment}},
journal = {Physical Review Letters},
year = {1997},
volume = {78},
number = {4},
month = {January},
pages = {751--751},
url = {http://link.aps.org/abstract/PRL/v78/p751}
}
Summary
Bibtex
Critical behavior of the supersolid transition in Bose-Hubbard models ,
E. Frey & L. Balents: (1997).
@Article{Frey1997,
author = {Frey, E. and Balents, L.},
title = {{Critical behavior of the supersolid transition in Bose-Hubbard models}},
journal = {Physical Review B},
year = {1997},
volume = {55},
number = {2},
month = {January},
pages = {1050--1067},
url = {http://link.aps.org/abstract/PRB/v55/p1050}
}
Summary
Bibtex
Transport of surface states in the bulk quantum Hall effect ,
S. Cho, L. Balents & M. P. A. Fisher: (1997).
@Article{Cho1997,
author = {Cho, S. and Balents, L. and Fisher, M. P. A.},
title = {{Transport of surface states in the bulk quantum Hall effect}},
journal = {Physical Review B},
year = {1997},
volume = {56},
number = {24},
month = {December},
pages = {15814--15821},
url = {http://link.aps.org/abstract/PRB/v56/p15814}
}
Summary
Bibtex
Coulomb interactions and mesoscopic effects in carbon nanotubes ,
C. Kane, L. Balents & M. P. A. Fisher: (1997).
@Article{Kane1997,
author = {Kane, C. and Balents, L. and Fisher, M. P. A.},
title = {{Coulomb interactions and mesoscopic effects in carbon nanotubes}},
journal = {Physical Review Letters},
year = {1997},
volume = {79},
number = {25},
month = {December},
pages = {5086--5089},
url = {http://link.aps.org/abstract/PRL/v79/p5086}
}
Summary
Bibtex
Dynamical transition in sliding charge-density waves with quenched disorder ,
L. W. Chen, L. Balents, M. P. A. Fisher & M. C. Marchetti: (1996).
@Article{Chen1996,
author = {Chen, L. W. and Balents, L. and Fisher, M. P. A. and Marchetti, M. C.},
title = {{Dynamical transition in sliding charge-density waves with quenched disorder}},
journal = {Physical Review B},
year = {1996},
volume = {54},
number = {18},
month = {November},
pages = {12798--12806},
url = {http://link.aps.org/abstract/PRB/v54/p12798}
}
Summary
Bibtex
Weak-coupling phase diagram of the two-chain Hubbard model ,
L. Balents & M. P. A. Fisher: (1996).
@Article{Balents1996b,
author = {Balents, L. and Fisher, M. P. A.},
title = {{Weak-coupling phase diagram of the two-chain Hubbard model}},
journal = {Physical Review B},
year = {1996},
volume = {53},
number = {18},
month = {May},
pages = {12133--12141},
url = {http://link.aps.org/abstract/PRB/v53/p12133}
}
Summary
Bibtex
Spatially ordered fractional quantum Hall states ,
L. Balents: (1996).
@Article{Balents1996,
author = {Balents, L.},
title = {{Spatially ordered fractional quantum Hall states}},
journal = {Europhysics Letters},
year = {1996},
volume = {33},
number = {4},
month = {February},
pages = {291--296},
url = {http://www.edpsciences.org/articles/epl/abs/1996/04/4117/4117.html}
}
Summary
Bibtex
The large scale energy landscape of randomly pinned objects ,
L. Balents, J. P. Bouchaud & M. Mezard: (1996).
@Article{Balents1996a,
author = {Balents, L. and Bouchaud, J. P. and Mezard, M.},
title = {{The large scale energy landscape of randomly pinned objects}},
journal = {Journal de Physique I},
year = {1996},
volume = {6},
number = {8},
month = {August},
pages = {1007--1020},
url = {http://www.edpsciences.org/articles/jp1/abs/1996/08/jp1v6p1007/jp1v6p1007.html}
}
Summary
Bibtex
Chiral surface states in the bulk quantum Hall effect ,
L. Balents & M. P. A. Fisher: (1996).
@Article{Balents1996c,
author = {Balents, L. and Fisher, M. P. A.},
title = {{Chiral surface states in the bulk quantum Hall effect}},
journal = {Physical Review Letters},
year = {1996},
volume = {76},
number = {15},
month = {April},
pages = {2782--2785},
url = {http://link.aps.org/abstract/PRL/v76/p2782}
}
Summary
Bibtex
Continuous 3D freezing transition in layered superconductors ,
L. Balents & L. Radzihovsky: (1996).
@Article{Balents1996d,
author = {Balents, L. and Radzihovsky, L.},
title = {{Continuous 3D freezing transition in layered superconductors}},
journal = {Physical Review Letters},
year = {1996},
volume = {76},
number = {18},
month = {April},
pages = {3416--3419},
url = {http://link.aps.org/abstract/PRL/v76/p3416}
}
Summary
Bibtex
Quantum smectic and supersolid order in helium films and vortex arrays ,
L. Balents & D. R. Nelson: (1995).
@Article{BALENTS1995a,
author = {Balents, L. And Nelson, D. R.},
title = {{Quantum smectic and supersolid order in helium films and vortex arrays}},
journal = {Physical Review B},
year = {1995},
volume = {52},
number = {17},
month = {November},
pages = {12951--12968},
url = {http://link.aps.org/abstract/PRB/v52/p12951}
}
Summary
Bibtex
Commensurability effects in large josephson-junctions ,
L. Balents & S. H. Simon: (1995).
@Article{BALENTS1995c,
author = {Balents, L. And Simon, S. H.},
title = {{Commensurability effects in large josephson-junctions}},
journal = {Physical Review B},
year = {1995},
volume = {51},
number = {10},
month = {March},
pages = {6515--6525},
url = {http://link.aps.org/abstract/PRB/v51/p6515}
}
Summary
Bibtex
Problems with the vortex-boson mapping in 1+1 dimensions ,
L. Balents & S. H. Simon: (1995).
@Article{BALENTS1995b,
author = {Balents, L. And Simon, S. H.},
title = {{Problems with the vortex-boson mapping in 1+1 dimensions}},
journal = {Physical Review B},
year = {1995},
volume = {51},
number = {21},
month = {June},
pages = {15610--15612},
url = {http://link.aps.org/abstract/PRB/v51/p15610}
}
Summary
Bibtex
Temporal-order in dirty driven periodic media ,
L. Balents & M. P. A. Fisher: (1995).
@Article{BALENTS1995,
author = {Balents, L. And Fisher, M. P. A.},
title = {{Temporal-order in dirty driven periodic media}},
journal = {Physical Review Letters},
year = {1995},
volume = {75},
number = {23},
month = {December},
pages = {4270--4273},
url = {http://link.aps.org/abstract/PRL/v75/p4270}
}
Summary
Bibtex
Fluctuations and intrinsic pinning in layered superconductors ,
L. Balents & D. R. Nelson: (1994).
@Article{BALENTS1994a,
author = {Balents, L. And Nelson, D. R.},
title = {{Fluctuations and intrinsic pinning in layered superconductors}},
journal = {Physical Review Letters},
year = {1994},
volume = {73},
number = {19},
month = {November},
pages = {2618--2621},
url = {http://link.aps.org/abstract/PRL/v73/p2618}
}
Summary
Bibtex
Disorder-induced unbinding of a flux-line from an extended defect ,
L. Balents & M. Kardar: (1994).
@Article{BALENTS1994,
author = {Balents, L. And Kardar, M.},
title = {{Disorder-induced unbinding of a flux-line from an extended defect}},
journal = {Physical Review B},
year = {1994},
volume = {49},
number = {18},
month = {May},
pages = {13030--13048},
url = {http://link.aps.org/abstract/PRB/v49/p13030}
}
Summary
Bibtex
Large-n expansion of (4-epsilon)-dimensional oriented manifolds in random-media ,
L. Balents & D. S. Fisher: (1993).
@Article{BALENTS1993a,
author = {Balents, L. And Fisher, D. S.},
title = {{Large-n expansion of (4-epsilon)-dimensional oriented manifolds in random-media}},
journal = {Physical Review B},
year = {1993},
volume = {48},
number = {9},
month = {September},
pages = {5949--5963},
url = {http://link.aps.org/abstract/PRB/v48/p5949}
}
Summary
Bibtex
Delocalization of flux lines from extended defects by bulk randomness ,
L. Balents & M. Kardar: (1993).
@Article{BALENTS1993b,
author = {Balents, L. And Kardar, M.},
title = {{Delocalization of flux lines from extended defects by bulk randomness}},
journal = {Europhysics Letters},
year = {1993},
volume = {23},
number = {7},
month = {September},
pages = {503--509},
}
Summary
Bibtex
Localization of elastic layers by correlated disorder ,
L. Balents: (1993).
@Article{BALENTS1993,
author = {Balents, L.},
title = {{Localization of elastic layers by correlated disorder}},
journal = {Europhysics Letters},
year = {1993},
volume = {24},
number = {6},
month = {November},
pages = {489--494},
}
Summary
Bibtex
A system of n-interacting fermions and its unusual n-]0 limit ,
L. Balents & M. Kardar: (1993).
@Article{BALENTS1993c,
author = {Balents, L. And Kardar, M.},
title = {{A system of n-interacting fermions and its unusual n-]0 limit}},
journal = {Nuclear Physics B},
year = {1993},
volume = {393},
number = {3},
month = {March},
pages = {480--494},
url = {http://dx.doi.org/10.1016/0550-3213(93)90069-2}
}
Summary
Bibtex
On the isotropic-nematic transition for polymers in liquid-crystals ,
L. Balents, R. D. Kamien, P. Ledoussal & E. Zaslow: (1992).
@Article{BALENTS1992,
author = {Balents, L. And Kamien, R. D. And Ledoussal, P. And Zaslow, E.},
title = {{On the isotropic-nematic transition for polymers in liquid-crystals}},
journal = {Journal de Physique I},
year = {1992},
volume = {2},
number = {3},
month = {March},
pages = {263--272},
url = {http://www.edpsciences.org/articles/jp1/abs/1992/03/jp1v2p263/jp1v2p263.html}
}
Summary
Bibtex
Roughening of anisotropically reconstructed surfaces and the hubbard-model ,
L. Balents & M. Kardar: (1992).
@Article{BALENTS1992a,
author = {Balents, L. And Kardar, M.},
title = {{Roughening of anisotropically reconstructed surfaces and the hubbard-model}},
journal = {Physical Review B},
year = {1992},
volume = {46},
number = {24},
month = {December},
pages = {16031--16044},
url = {http://link.aps.org/abstract/PRB/v46/p16031}
}
Summary
Bibtex
Directed paths on percolation clusters ,
L. Balents & M. Kardar: (1992).
@Article{BALENTS1992b,
author = {Balents, L. And Kardar, M.},
title = {{Directed paths on percolation clusters}},
journal = {Journal of Statistical Physics},
year = {1992},
volume = {67},
number = {1-2},
month = {April},
pages = {1--11},
url = {http://dx.doi.org/10.1007/BF01049024}
}