Guo Chuan Thiang, Mathematical tools for anomalous boundary metals
Channel: Scrambled Maths
Date: 08/09/2021

Guo Chuan Thiang, Mathematical tools for anomalous boundary metals

Abstract:
The boundary of a topological insulator or semimetal is understood by physicists to be metallic in some “anomalous” sense. I will introduce the mathematical techniques of spectral flow and gerbes, and discuss how they allow for a rigorous understanding of the topological protection of the anomalous metallic boundary. These ideas are applied to experimentally verified examples such as Chern insulators, Weyl semimetals, and quantum Hall Hamiltonians.

Slides: https://unishare.nl/index.php/s/K4wy7PrJ7rRxNdr

Recording of the workshop "Learning from Insulators: New Trends in the Study of Conductivity of Metals". For additional material and information, please consult the workshop page
https://www.lorentzcenter.nl/learning-from-insulators-new-trends-in-the-study-of-conductivity-of-metals.html