{ "id": "0711.3748", "version": "v1", "published": "2007-11-23T15:08:34.000Z", "updated": "2007-11-23T15:08:34.000Z", "title": "On the effect of weak disorder on the density of states in graphene", "authors": [ "B. Dóra", "K. Ziegler", "P. Thalmeier" ], "comment": "7 pages, 5 figures", "journal": "Phys. Rev. B 77, 115422 (2008)", "doi": "10.1103/PhysRevB.77.115422", "categories": [ "cond-mat.mes-hall", "cond-mat.str-el" ], "abstract": "The effect of weak potential and bond disorder on the density of states of graphene is studied. By comparing the self-consistent non-crossing 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 non-universal power-law, whose exponent depends on the strength of disorder like 1-4g/sqrt{3}t^2\\pi, with g the variance of the Gaussian disorder, 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 non-linear density of states can result in a conductivity being proportional to the number of charge carriers, in accordance with experimental findings.", "revisions": [ { "version": "v1", "updated": "2007-11-23T15:08:34.000Z" } ], "analyses": { "subjects": [ "81.05.Uw", "71.10.-w", "72.15.-v" ], "keywords": [ "weak disorder", "pure graphene changes", "self-consistent non-crossing approximation", "honeycomb lattice", "perturbation theory" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review B", "year": 2008, "month": "Mar", "volume": 77, "number": 11, "pages": 115422 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvB..77k5422D" } } }