Moiré control of multilayered graphene systems

Abstract

Introducing a small rotation, or twist, between graphene multilayers gives rise to moiré patterns. At a certain magic angle, flat electronic bands are formed and the resulting structure gives rise to highly tunable correlated and topological states. To date, twisted graphene heterostructures comprising monolayer and/or bilayer graphene constituents have been shown to host isolated moiré flat bands. Moiré structures with more layers have not garnered much attention owing to the presence of additional bands that must be hybridized at low energy. This thesis will probe two graphene multilayer families: mixed dimensional moiré materials and double-twisted graphene multilayers. We find that the moiré can appreciably control the transport behavior of twisted graphene-graphite thin films and of an alternating twisted monolayer-trilayer-monolayer (t1+3+1) device. An inquiry of multilayered systems with higher band complexity is necessary in the search for superconductivity and novel correlated phenomena.