### Abstract

The effect of weak potential and bond disorder on the density of states of graphene is studied. By comparing the self-consistent noncrossing approximation on the honeycomb lattice with perturbation theory on the Dirac fermions, we conclude that the linear density of states of pure graphene changes to a nonuniversal power law whose exponent depends on the strength of disorder like 1-4g/3π t2, with g the variance of the Gaussian disorder and t the hopping integral. This can result in a significant suppression of the exponent of the density of states in the weak-disorder limit. We argue that even a nonlinear density of states can result in a conductivity that is proportional to the number of charge carriers, in accordance with experimental findings.

Original language | English |
---|---|

Article number | 115422 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 77 |

Issue number | 11 |

DOIs | |

Publication status | Published - Mar 14 2008 |

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

## Fingerprint Dive into the research topics of 'Effect of weak disorder on the density of states in graphene'. Together they form a unique fingerprint.

## Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*77*(11), [115422]. https://doi.org/10.1103/PhysRevB.77.115422