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 |