{
  "id": "0806.0540",
  "version": "v2",
  "published": "2008-06-03T13:45:12.000Z",
  "updated": "2008-09-04T10:00:32.000Z",
  "title": "Long-range correlations in disordered graphene",
  "authors": [
    "K. Ziegler"
  ],
  "comment": "17 pages, 3 figures",
  "journal": "Phys. Rev. B 78, 125401 (2008)",
  "doi": "10.1103/PhysRevB.78.125401",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The appearence of long-range correlations near the Dirac point of a Dirac-like spinor model with random vector potential is studied. These correlations originate from a spontaneously broken symmetry and their corresponding Goldstone modes. Using a strong-disorder expansion, correlation functions and matrix elements are analyzed and compared with results from a weak-disorder expansion. The local density of states correlation and the overlap between states above and below the Dirac point are characterized by a long-range behavior. The correlation range decreases with the distance from the Dirac point. Transport is diffusive and the diffusion coefficient is proportional to the one-particle scattering time for any strength of disorder. A consequence of the special properties of particle-hole scattering is a constant microwave conductivity for weak as well as for strong disorder, describing a deviation from conventional Drude-like transport. Some properties of the model can be linked to a kind of Kondo scale, which is generated by disorder. Finally, the properties of the wave functions at the Dirac point are characterized by their participation ratios, indicating a critical state at the Dirac point.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-09-04T10:00:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81.05.Uw",
      "71.55.Ak",
      "72.10.Bg",
      "73.20.Jc"
    ],
    "keywords": [
      "dirac point",
      "long-range correlations",
      "disordered graphene",
      "constant microwave conductivity",
      "correlation range decreases"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2008,
      "month": "Sep",
      "volume": 78,
      "number": 12,
      "pages": 125401
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvB..78l5401Z"
    }
  }
}