Resonance splitting effect through magnetic superlattices in graphene

Abstract

Using the transfer-matrix formalism, the resonance splitting effect of Dirac electrons through two types of magnetic superlattices in graphene is studied theoretically. The numerical results show that the transmission presents (n − 1)-fold resonance splitting for the both magnetic superlattices with n-barrier, similar to Schrödinger electrons in semiconductor superlattices. It is believed that the Dirac electrons possess a general (n − 1)-fold splitting rule for n-barrier magnetic superlattices, of which the corresponding vector potential is periodic field. The magnetic superlattices with strong magnetic field can be used as a very efficient wave-vector filter for Dirac electrons. The splitting feature of the transmission probability also reflects in the conductance and shot noise. These properties should be useful for the design of graphene-based electronic devices.