available in pdf here

subjects covered from the fully quantum viewpoint.
P. Fazekas, “Lecture Notes on Electron Correlations and Magnetism”,
A. Auerbach “Interacting electrons and Quantum Magnetism”,
D. Matthis “Theory of Magnetism”,
L. D. Landau and E. M. Lifshitz, “Electrodynamics of continuous media”, “Statistical Physics
Vol. 2”
M. Tinkham, “Introduction to superconductivity”.
P. Phillips, “Advanced Solid State Physics”.
Course website: http://www.phys.lsu.edu/faculty/vekhter/Teaching.html
Topics covered in class: We will cover most of the following subjects:
• Magnetic systems near the transition. Ginzburg-Landau expansion.
• Ginzburg-Landau theories for the first and second order phase transitions.
• Ginzburg-Landau theories for ferromagnets and antiferromagnets. Domain wall structure.
Magnetization curves. Magnetic anisotropy. Spin-flop transition.
• Ginzburg-Landau theory of superconductivity: basic phenomena. Flux quantization,
Josephson effect, vortex solutions.
• Derivation of the exchange Hamiltonian in insulators. Heisenberg model.
• Magnetism in insulators. Spin waves.
• Coulomb interaction and ferromagnetism in metallic systems (Stoner instability)
• Electron-phonon interaction
• BCS hamiltonian and microscopic solution for superconductivity
• Towards microscopic description of metallic states: second quantization.
• Screening, plasma oscillations, Hartree-Fock approximation (if time allows)