Topology in Condensed Matter Systems

 

Lecture details

The summer semester is held as a digital semester. In principle, as agreed by the universities in North Rhine-Westphalia, all courses that can be offered remotely will take place online for the entire summer semester.

The lecture will be given by Prof. Weßel.

Description:

The lecture will cover an overview of topological phenomena in condensed matter systems with a focus on the following subjects:

  • Basic models: SSH, Rice-Mele, Kitaev chain, Majorana model, etc.
  • Symmetries: chiral, time-reversal, particle-hole, inversion
  • Topological invariants: Winding numbers, Chern numbers, Zak phase, Z2-invariant
  • Dirac's magnetic monopole
  • Geometric Berry's phase
  • Classification of symmetry protected topological insulators and superconductors
  • Topological adiabatic pumping
  • Topological theory of electric polarization
  • Boundary charge: universal properties and fractional charges
  • Quantum Hall effect
  • Floquet topological insulators
  • Topological field theories, Chern-Simons theory
  • Topological magnetic textures (skyrmions, merons)
  • Topological classification of defects in crystals

Recommended requirements:

Solid state physics and quantum theory of condensed matter

Time Room Start/Finish
Thurs. 2pm - 4.30pm N/A 09.04.2020 - 16.07.2020