Abstract: Graphene is a new kind of material made of carbon. The transmission probability in graphene superlattices with triple periodic potential patterns induced by electric field has been investigated by the transfer matrix method in this paper. It is demonstrated that the transmission probability as a function of incidence energy has more than one gap. The number, width and positions of the transmission gaps can be controlled by the period number of the superlattice, the electronic incidence angle, the height and width of the barrier. The transport properties in graphene superlattices with periodic potential patterns may lead to possible application in designing multi-channel electron wave filter.

Key words: optoelectronics; transmission gaps; transfer matrix; graphene superlattices