{
  "id": "0804.1975",
  "version": "v1",
  "published": "2008-04-11T23:20:32.000Z",
  "updated": "2008-04-11T23:20:32.000Z",
  "title": "Dissipation and criticality in the lowest Landau level of graphene",
  "authors": [
    "Xun Jia",
    "Pallab Goswami",
    "Sudip Chakravarty"
  ],
  "comment": "4 pages, 5 figures",
  "journal": "Phys. Rev. Lett. 101, 036805 (2008)",
  "doi": "10.1103/PhysRevLett.101.036805",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.dis-nn"
  ],
  "abstract": "The lowest Landau level of graphene is studied numerically by considering a tight-binding Hamiltonian with disorder. The Hall conductance $\\sigma_\\mathrm{xy}$ and the longitudinal conductance $\\sigma_\\mathrm{xx}$ are computed. We demonstrate that bond disorder can produce a plateau-like feature centered at $\\nu=0$, while the longitudinal conductance is nonzero in the same region, reflecting a band of extended states between $\\pm E_{c}$, whose magnitude depends on the disorder strength. The critical exponent corresponding to the localization length at the edges of this band is found to be $2.47\\pm 0.04$. When both bond disorder and a finite mass term exist the localization length exponent varies continuously between $\\sim 1.0$ and $\\sim 7/3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-11T23:20:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.43.Nq",
      "71.30.+h",
      "72.15.Rn"
    ],
    "keywords": [
      "lowest landau level",
      "longitudinal conductance",
      "dissipation",
      "bond disorder",
      "criticality"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "Jul",
      "volume": 101,
      "number": 3,
      "pages": "036805"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvL.101c6805J"
    }
  }
}