{
  "id": "1010.4026",
  "version": "v2",
  "published": "2010-10-19T20:00:03.000Z",
  "updated": "2011-04-06T20:00:42.000Z",
  "title": "Unified description of the dc conductivity of monolayer and bilayer graphene at finite densities based on resonant scatterers",
  "authors": [
    "A. Ferreira",
    "J. Viana Gomes",
    "Johan Nilsson",
    "Eduardo R. Mucciolo",
    "N. M. R. Peres",
    "A. H. Castro Neto"
  ],
  "comment": "25 pages, 13 figures. published version: appendixes improved, references added, abstract and title slightly changed, plus other minor revisions",
  "journal": "Phys. Rev. B 83, 165402 (2011)",
  "doi": "10.1103/PhysRevB.83.165402",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We show that a coherent picture of the dc conductivity of monolayer and bilayer graphene at finite electronic densities emerges upon considering that strong short-range potentials are the main source of scattering in these two systems. The origin of the strong short-range potentials may lie in adsorbed hydrocarbons at the surface of graphene. The equivalence among results based on the partial-wave description of scattering, the Lippmann-Schwinger equation, and the T-matrix approach is established. Scattering due to resonant impurities close to the neutrality point is investigated via a numerical computation of the Kubo formula using a kernel polynomial method. We find that relevant adsorbate species originate impurity bands in monolayer and bilayer graphene close to the Dirac point. In the midgap region, a plateau of minimum conductivity of about $e^2/h$ (per layer) is induced by the resonant disorder. In bilayer graphene, a large adsorbate concentration can develop an energy gap between midgap and high-energy states. As a consequence, the conductivity plateau is supressed near the edges and a \"conductivity gap\" takes place. Finally, a scattering formalism for electrons in biased bilayer graphene, taking into account the degeneracy of the spectrum, is developed and the dc conductivity of that system is studied.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-04-06T20:00:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81.05.ue",
      "72.80.Vp",
      "78.67.Wj"
    ],
    "keywords": [
      "bilayer graphene",
      "dc conductivity",
      "finite densities",
      "resonant scatterers",
      "unified description"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2011,
      "month": "Apr",
      "volume": 83,
      "number": 16,
      "pages": 165402
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvB..83p5402F"
    }
  }
}