Fundamental laws of chiral band crossings: Local constraints, global constraints, and topological phase diagrams

We derive two fundamental laws of chiral band crossings: (i) a local constraint relating the Chern number to phase jumps of rotation eigenvalues and (ii) a global constraint determining the number of chiral crossings on rotation axes. Together with the fermion doubling theorem, these laws describe a...

Full description

Bibliographic Details
Main Authors: Kirill Alpin, Moritz M. Hirschmann, Niclas Heinsdorf, Andreas Leonhardt, Wan Yee Yau, Xianxin Wu, Andreas P. Schnyder
Format: Article
Language:English
Published: American Physical Society 2023-11-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.043165