  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.
