# Advanced Theory of Topological Insulators

## Lecture details

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 | Online | 14.10.2020 - 10.02.2021 |