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Resonant peak splitting for graphene superlattices with one-dimensional periodic potentials of square barriers

We have investigated theoretically the resonance splitting effect of Dirac electrons through graphene superlattices with periodic potentials of square barriers. It is found that each resonance peak in the transmission gap presents (N-1)-fold resonance splitting for N-barriers, which is the analogy of the case in semiconductor superlattices. The resonance splitting effect depends on the incidence angle rather than the height and width of potential. However, there is no explicit splitting rule for the conductance and shot noise, which is different from the magnetic case. These properties may lead to potential applications in graphene-based electron devices.