Wavevector Filtering through Monolayer and Bilayer Graphene Superlattices

We investigate the transport properties through monolayer and bilayer graphene superlattices modulated by an in-plane homogeneous electric field based on the transfer matrix method. It is found that the angular range of the transmission probability through a graphene superlattice can be effectively controlled by the number of barriers and this results in the structure having efficient wavevector filters. As the number of barriers increases, this range shrinks. It is also shown that the conductance of the systems has an oscillatory behavior with respect to the barrier height and it decreases with the increasing number of barriers.