Multilayer graphene with a superlattice potential

TL;DR

This paper explores how multilayer graphene with superlattice potentials can host topological and flat bands, revealing stacking-dependent properties and the effects of multiple superlattice potentials.

Contribution

It extends the study of superlattice effects from bilayer to trilayer and quadrilayer graphene, highlighting stacking-dependent phenomena and the impact of multiple superlattice potentials.

Findings

Chirally-stacked multilayers are better for flat band stacks.

Bernal-stacked graphene can realize topological flat bands.

Dual superlattice potentials enhance flat band formation.

Abstract

Bernal stacked bilayer graphene subject to a superlattice potential can realize topological and stacked flat bands [1]. 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.