Abstract

Abstract The resonance splitting effect of Dirac electrons through magnetic Kronig–Penney superlattices with delta-function barriers in graphene is studied theoretically. It is found that both transmission probability and conductance present ( n − 1 ) - fold resonant peak splitting in n vector potential barriers, which is the same as that of standard electrons in semiconductor superlattices [R. Tsu, L. Esaki, Appl. Phys. Lett. 22 (1973) 562]. The resonant peak splitting and wave-vector filtering could be controlled by adjusting the transverse wave vector and structural parameters. These properties may be useful for the design of graphene-based electronic devices.

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