Field Theory in Condensed Matter Physics

We meet every Wednesday at 14:00 in Ph2271 at TUM Physics building.

Content

• • Fermi liquid theory: Fermi liquid ground state, quasiparticles and their stability, collective modes, Landau damping, non-Fermi liquids

  • Luttinger liquids: pecularities of physics in one dimension, Luttinger model, basic of bosonization, correlation functions, relation to conformal field theories and two-dimensional classical XY model

  • Superfluids and superconductors: physical properties of superfluids and superconductors, BCS theory, spontaneous symmetry breaking and phase stiffness, vortices, rotating superfluids, Higgs mechanism in superconductors, boson-vortex duality in two dimensions, Berezinskii-Kosterlitz-Thouless transition, chiral superfluids and superconductors 

  • Quantum Hall effect: basics of quantum Hall effect, topological order and anyons in fractional quantum Hall fluids, composite fermions- Jain states and half-filled Landau level, Halperin states, flux attachment by Chern-Simons term, hydrodynamic abelian Chern-Simons theories and the hierarchy of abelian quantum Hall states, edge of quantum Hall fluids, non-abelian quantum Hall states

Lecture notes and home works can be found below. If you have comments or questions, please email me.