I. Interacting electrons
» Interacting N-particle Hamiltonian
» Need for Second Quantization formalism
» Hartree-Fock approximation in second quantization
» Brief overview on Density Functional Theory
II. Linear response theory
» Fluctuation-dissipation theorem
» F-sum rule
III. Physics of disorder
» Kubo formula for conductivity
» Scaling theory of localization
» Quantum hall effect
IV. Magnetism
» Local moment magnetism
» Exchange interaction
» Band-magnetism-Stoner
theory
» Spin density wave
» Friedel-Anderson model
» Kondo problem
V. Fermi liquid theory
» Electron spectral function
» Quasi-particles and Landau interaction parameter
» Fermi liquid in Kondo problem
VI. Superconductivity
» Landau diamagnetism
» London equation and effect of disorder
» Ginzburg-Landau theory
» Vortices
» Type II superconductor
Lecture notes and the exact class schedule will be updated as we go on with the course!