Quasiperiodicity, band topology, and moir\'e graphene

Understand

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.