Thin films versus 2D sheets in layered structures: graphene and 2D metallic sheets

摘要

We study an interface between two media separated by a strictly 2D sheet. Weshow how the amplitude reflection coefficient can be modeled by that for aninterface where the 2D sheet has been replaced by a film of small but finitethickness. We give the relationship between the 3D dielectric function of thethin film and the 2D dielectric function of the sheet. We choose graphene and a2D metallic sheet as illustrative examples. This approach turns out to be veryuseful when treating graphene or graphene like sheets in non-planar structures