Multilayer graphene with a superlattice potential

Abstract

Bernal stacked bilayer graphene subject to a superlattice potential can realize topological and stacked flat bands [Ghorashi et al., Phys. Rev. Lett. 130, 196201 (2023)]. In the present work, we extend the study of a superlattice potential on graphene heterostructures to trilayer and quadrilayer graphene. Comparing Bernal- and chirally stacked multilayers reveals that the latter are more suitable for realizing stacks of many flat bands. On the other hand, Bernal-stacked graphene heterostructures can realize topological flat bands. Imposing two simultaneous superlattice potentials enhances the viability of both regimes.