Semimetalic graphene in a modulated electric potential

Details Semimetalic graphene in a modulated electric potential Semimetalic graphene in a modulated electric potential

2008-09-09

arxiv.org/abs/0809.1514v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12pages, 5 figures

Scientific paper

10.1103/PhysRevB.79.115427

The $\pi$-electronic structure of graphene in the presence of a modulated electric potential is investigated by the tight-binding model. The low-energy electronic properties are strongly affected by the period and field strength. Such a field could modify the energy dispersions, destroy state degeneracy, and induce band-edge states. It should be noted that a modulated electric potential could make semiconducting graphene semimetallic, and that the onset period of such a transition relies on the field strength. There exist infinite Fermi-momentum states in sharply contrast with two crossing points (Dirac points) for graphene without external fields. The finite density of states (DOS) at the Fermi level means that there are free carriers, and, at the same time, the low DOS spectrum exhibits many prominent peaks, mainly owing to the band-edge states.

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