PSI 2017/2018 - Condensed Matter (Tiwari)

Quantized Hall conductance, Landau levels for graphene

Landau levels, fractional quantum Hall effect and composite fermions, quantized Hall conductance

BCS ground state, BCS excitations from mean-field theory

The Cooper problem, BCS theory

Stoner model for ferromagnetism, goals of the BCS theory of superconductivity, the Cooper problem

Mean field theory, Hartree-Fock approximation, screening, Stoner model for ferromagnetism

Electron-phonon interactions, Schrieffer-Wolff transformation

Classical description of phonons, quantum theory of phonons, Debye model

Jellium model, Hartree and Fock terms, density of states, jellium oscillations and Einstein phonons

Perturbation theory for nearly-free electrons, Peierl's theorem, electron-electron interactions, jellium model

First Brillouin zone, tight-binding model, nearly-free electrons