Magic angles in twisted bilayer graphene near commensuration: Towards a hypermagic regime

Abstract

The authors show here that twisted bilayer graphene near an arbitrary commensurate configuration is described by a generalization of the Bistritzer-MacDonald continuum model. They furthermore find magic angles near commensurate configurations that yield flat moir\'e bands. Additionally, they reveal a hypermagic parameter regime of this model in which numerous moir\'e bands become flat simultaneously. Some bands in this regime resemble those of kagome lattice or honeycomb lattice ${p}_{x}$, ${p}_{y}$ tight-binding models, paving the way for future moir\'e realizations of such systems.

Topics & Concepts