All Magic Angles in Twisted Bilayer Graphene are Topological

• Published in: Physical review letters Vol. 123; no. 3; p. 036401
• Main Authors: Song, Zhida, Wang, Zhijun, Shi, Wujun, Li, Gang, Fang, Chen, Bernevig, B Andrei
• Format: Journal Article
• Language: English
• Published: United States 16.07.2019

We show that the electronic structure of the low-energy bands in the small angle-twisted bilayer graphene consists of a series of semimetallic and topological phases. In particular, we are able to prove, using an approximate low-energy particle-hole symmetry, that the gapped set of bands that exist...