Moiré commensurability and the quantum anomalous Hall effect in twisted bilayer graphene on hexagonal boron nitride
Jingtian Shi, Jihang Zhu, A. H. MacDonald
Abstract
The quantum anomalous Hall effect sometimes occurs in twisted bilayer graphene when it is nearly aligned with an encapsulating hexagonal boron nitride (hBN) layer. The authors argue that the quantum anomalous Hall effect is likely only when the graphene/graphene and graphene/hBN moir\'e patterns are nearly commensurate. This picture gives rise to the series of ``Hall windows'' in the twist-angle space illustrated here.
Topics & Concepts
Commensurability (mathematics)GrapheneBilayer grapheneCondensed matter physicsTwistPhysicsQuantum Hall effectMaterials scienceGeometryQuantum mechanicsElectronMathematicsGraphene research and applicationsQuantum and electron transport phenomenaTopological Materials and Phenomena