Topology in Condensed Matter Systems

 

Lecture details

The lecture will be given by Professor Schoeller and 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

Recommended requirements:

Solid state physics and quantum theory of condensed matter

Time Room Start/Finish
Wed. 1pm - 4.15pm 4263 (26C/401) 09.10.2019 - 05.02.2020