Xi Chen, Pei-Liang Zhao, Qi-Biao Zhu
Electronic band gap and transport in quasi-periodic graphene superlattice of double-periodic sequence have been investigated. It is found that such quasi-periodic structure can possess a zero-averaged wave number (zero-$\bar{k}$) gap which associated with an unusual Dirac point. Different from Bragg gap, the zero-$\bar{k}$ gap is less sensitive to the incidence angle, and robust against the lattice constants. The locations of Dirac point and multi-Dirac-points in the graphene superlattices of various sequences are also compared. The control of electron transport over the zero-$\bar{k}$ band gap in graphene superlattice may facilitate the development of many graphene-based electronics.
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http://arxiv.org/abs/1209.5811
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