Density of states of disordered graphene

Details Density of states of disordered graphene Density of states of disordered graphene

2008-05-14

arxiv.org/abs/0805.2148v2

Phys. Rev. B 78, 165411 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 5 figures

Scientific paper

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 $T$-matrix approximations to obtain the self-energy. Among these, only the self-consistent $T$-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.

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