2019 - 2020
|0321-4850||Topological phases of matter.|
|FACULTY OF EXACT SCIENCES | PHYSICS|
Geometrical phases and adiabatic evolution. Berry phases, polarization. Chern number. Two level systems. Topological band theory. The Su-Schrieffer-Heeger model, boundary states. The integer quantum Hall effect. Chern insulators and the Haldane model. Two-dimensional topological insulators and the BHZ model. Topological insulators in three-dimensions. Topological semimetals. Transport in topological phases.
Time permitting: Fractional quantum Hall effect, anyons. Topological superconductivity, Majorana fermions and non-Abelian statistics.