| TBA | in KITP 2315 | |
| Call or email me to meet at another time. | ||
Problem sets:
This course is the second of three quarters of introduction to condensed matter physics. It focuses on the electronic physics beyond of solids beyond band theory. Main topics:
Physics 223A or equivalent. Basic quantum mechanics, including angular momentum, spin, the hydrogen atom, quantum statistics, and perturbation theory. Some elementary statistical mechanics and electromagnetism is assumed.
Homework (60% of final grade).
Final Report (40% of final grade): Students will work in groups of 3-4 to prepare a report and presentation to the class on a topic agreed upon by them and the instructor, of recent or current interest in electronic condensed matter physics.
| Lecture | Topic | Notes |
| 1 | Magnetism and Hund's rules. | |
| 2 | Physics behind Hund's rules. | |
| 3 | Atomic nomenclature. Curie behavior. Review 2nd quantization. | |
| 4 | Direct exchange: H$_2$ molecule. | |
| 5 | Direct exchange: Degenerate perturbation theory. Mott transition. Indirect exchange. | |
| 6 | Magnetic ordering. Ground states and spin waves in Heisenberg ferromagnet. | |
| 7 | More spin waves. Universality of k2 behavior. Inelastic neutron scattering. | |
| 8 | Spin waves and Bloch T3/2 law. Begin Mean Field Theory (MFT). | |
| 9 | More MFT. Solution and critical exponents. | |
| 10 | Finish MFT: universality. Start quantum antiferromagnets. | |
| 11 | Quantum antiferromagnets. These notes contain extra material not covered in class on the Holstein-Primakoff approach, as well as the equation of motion approach taken in class. | |
| 12 | Magnetism in conducting systems. RKKY interaction. Kondo effect. | |
| 13 | Superfluidity. Properties, BEC and order parameter theory. |