Electronic Band gaps and transport properties inside graphene superlattices with one-dimensional periodic squared potentials

摘要

The electronic transport properties and band structures for thegraphene-based one-dimensional (1D) superlattices with periodic squaredpotentials are investigated. It is found that a new Dirac point is formed,which is exactly located at the energy which corresponds to the zero (volume)averaged wavenumber inside the 1D periodic potentials. The location of such anew Dirac point is robust against variations in the lattice constants, and itis only dependent on the ratio of potential widths. The zero-averagedwavenumber gap associated with the new Dirac point is insensitive to both thelattice constant and the structural disorder, and the defect mode in thezero-averaged wavenumber gap is weakly dependent on the insident angles ofcarriers.