Quantum Theory of Condensed Matter II

Lecture details

The lecture will be given by Professor Schoeller.

Description:

This course is a continuation of the course on "Quantum Theory of Condensed Matter I". It contains the following subjects:

electrons and phonons: screening properties, effective phonon propagators and quasiparticle life-time
BCS-superconductivity: BCS model, BCS theory, mean-field theory, transverse electromagnetic fields
Collective magnetism of insulators: Heisenberg model, mean-field theory, spin wave theory
Collectivce magnetism of metals: spin density waves, Ferromagnetism, Antiferromagnetism
Superfluidity: Bose-Einstein condensation, mean-field theory
Disorder: metals and superconductors,
Linear transport theory: Kubo formula, disorder, conductivity, linear Boltzmann equations, weak localization
Topology in condensed matter systems: Majorana fermions, anti-unitary and chiral symmetries, classification of topology, topological invariants, SSH model, Kitaev chain, quantum Hall effect, Floquet theory and Floquet topological insulators

Recommended requirements :

Quantum Theory of Condensed Matter I:
second quantization, quantum decay theory, basic knowledge about electrons and phonons, Jellium model, longitudinal acoustic phonons in continuum theory, Green's functions and correlation functions, Kubo formalism, Matsubara Green's functions, self-energy, Wick's theorem and Feynman diagrams, dielectric function and screening theory, Fermi liquid theory