Effect of weak disorder on the density of states in graphene

Balázs Dóra, Klaus Ziegler, Peter Thalmeier

Research output: Contribution to journalArticle

22 Citations (Scopus)


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 languageEnglish
Article number115422
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number11
Publication statusPublished - Mar 14 2008

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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