paper

Density of states of disordered graphene

arXiv:0805.2148

Abstract

We calculate the average single particle density of states in graphene with disorder due to impurity potentials. For unscreened short-ranged impurities, we use the non-self-consistent and self-consistent Born and -matrix approximations to obtain the self-energy. Among these, only the self-consistent -matrix approximation gives a non-zero density of states at the Dirac point. The density of states at the Dirac point is non-analytic in the impurity potential. For screened short-ranged and charged long-range impurity potentials, the density of states near the Dirac point typically increases in the presence of impurities, compared to that of the pure system.

8 pages, 5 figures

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