Transmission gaps in graphene superlattices with periodic potential patterns

The transmission probability of electrons tunneling through a graphene superlattice with periodic potential patterns is investigated using the transfer matrix method. It is found that the transmission probability as a function of incidence energy has more than one gap. The number, width and position of transmission gaps can be modulated by changing the period number, the incidence angle, the height and width of the potential. These characteristics of the transmission gaps in graphene superlattices may facilitate the development of many graphene-based electronics such as a multichannel electron wave filter.