Focus lecture at Nagoya University, Dec.14-16 (2020): hosted by Prof. Hiroshi Kohno

Lecture
“Physics of bulk-edge correspondence:From quantum Hall effects to recent topics”
Seminar
“Flat bands and topological phases”

Plan

01-Symmetry breaking to topological phases and bulk-edge correspondence
02-Quantum Hall effects as a prototype of topological phases
03-Berry phase to Berry connection
04-Chern number and its quantization
05-Dirac monopole
06-Non Abelian Berry connection
07-Bulk-edge correspondence by Chern number
08-Bulk-edge correspondence by (quantized) Berry phases
09-Bulk-edge correspondence in topological pump
10-Universality of bulk-edge correspondence

Supplemental notes (patly in Japanese)