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.


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