Electronic band gaps and transport properties in aperiodic bilayer graphene superlattices of Thue-Morse sequence

Abstract

We investigate electronic band structure and transport properties in bilayer graphene superlattices of Thue-Morse sequence. It is interesting to find that the zero-k¯ gap center is sensitive to interlayer coupling t′, and the centers of all gaps shift versus t′ at a linear way. Extra Dirac points may emerge at ky≠0, and when the extra Dirac points are generated in pairs, the electronic conductance obeys a diffusive law, and the Fano factor tends to be 1/3 as the order of Thue-Morse sequence increases. Our results provide a flexible and effective way to control the transport properties in graphene.