Advanced Theory of Topological Insulators
This lecture will be given by Dr. Pletyukhov.
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
Prerequisites:
Solid state physics and quantum theory of condensed matter
| Time | Room | Start/Finish |
|---|---|---|
| Wed. 1pm - 5pm | 26C 401 (4263) | 29.09.2021 - 26.01.2022 |