{
  "id": "0705.0886",
  "version": "v2",
  "published": "2007-05-07T11:17:51.000Z",
  "updated": "2007-06-27T13:03:00.000Z",
  "title": "Demonstration of one-parameter scaling at the Dirac point in graphene",
  "authors": [
    "J. H. Bardarson",
    "J. Tworzydło",
    "P. W. Brouwer",
    "C. W. J. Beenakker"
  ],
  "comment": "4 pages, 5 figures; v2: introduction expanded, data for Gaussian model extended to larger system sizes to further demonstrate single parameter scaling",
  "journal": "Phys.Rev.Lett. 99, 106801 (2007)",
  "doi": "10.1103/PhysRevLett.99.106801",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We numerically calculate the conductivity $\\sigma$ of an undoped graphene sheet (size $L$) in the limit of vanishingly small lattice constant. We demonstrate one-parameter scaling for random impurity scattering and determine the scaling function $\\beta(\\sigma)=d\\ln\\sigma/d\\ln L$. Contrary to a recent prediction, the scaling flow has no fixed point ($\\beta>0$) for conductivities up to and beyond the symplectic metal-insulator transition. Instead, the data supports an alternative scaling flow for which the conductivity at the Dirac point increases logarithmically with sample size in the absence of intervalley scattering -- without reaching a scale-invariant limit.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-06-27T13:03:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.20.Fz",
      "73.20.Jc",
      "73.23.-b",
      "73.63.Nm"
    ],
    "keywords": [
      "one-parameter scaling",
      "demonstration",
      "dirac point increases",
      "vanishingly small lattice constant",
      "symplectic metal-insulator transition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2007,
      "month": "Sep",
      "volume": 99,
      "number": 10,
      "pages": 106801
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007PhRvL..99j6801B"
    }
  }
}