## Density of states of disordered graphene

Hu, Ben Yu-Kuang
Hwang, E. H.
Sarma, S. Das
##### Description
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.
Comment: 8 pages, 5 figures
##### Keywords
Condensed Matter - Mesoscale and Nanoscale Physics