Hosts: Eun-Ah Kim, Debanjan Chowdhury, & Chao-Ming Jian

Title: Quasiperiodicity, band topology, and moir\'e graphene”

Abstract: A number of moir\'e graphene systems have nearly flat topological bands where electron motion is strongly correlated. Though microscopically these systems are only quasiperiodic,  they can typically be treated as translation invariant to an excellent approximation. Here we reconsider this question for magic angle twisted bilayer graphene that is nearly aligned with a hexagonal boron nitride(h-BN) substrate. We carefully study  the effect of the periodic potential induced by h-BN on the low energy physics. The combination of this potential and the moir\'e lattice produced by the twisted graphene  generates a quasi-periodic term  that depends on the alignment angle between h-BN and the moir\'e graphene. We find that the alignment angle has a significant impact on both the band gap near charge neutrality and the behavior of electrical transport. We also introduce  and study toy models to illustrate how a quasi-periodic potential can give rise to localization and change in  transport properties of topological bands.

Poster