{
  "id": "0806.4884",
  "version": "v1",
  "published": "2008-06-30T13:04:12.000Z",
  "updated": "2008-06-30T13:04:12.000Z",
  "title": "Quantum chaos in disordered graphene",
  "authors": [
    "I. Amanatidis",
    "S. N. Evangelou"
  ],
  "comment": "5 pages 3 figures. (for high resolution figures send an e-mail to i.amanatidis@lancs.ac.uk)",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We have studied numerically the statistics for electronic states (level-spacings and participation ratios) from disordered graphene of finite size, described by the aspect ratio $W/L$ and various geometries, including finite or torroidal, chiral or achiral carbon nanotubes. Quantum chaotic Wigner energy level-spacing distribution is found for weak disorder, even infinitesimally small disorder for wide and short samples ($W/L>>1$), while for strong disorder Anderson localization with Poisson level-statistics always sets in. Although pure graphene near the Dirac point corresponds to integrable ballistic statistics chaotic diffusive behavior is more common for realistic samples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-30T13:04:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.22.Dj",
      "73.63.-b",
      "73.20.Fz",
      "81.05.Uw"
    ],
    "keywords": [
      "disordered graphene",
      "quantum chaos",
      "wigner energy level-spacing distribution",
      "chaotic wigner energy level-spacing",
      "ballistic statistics chaotic diffusive behavior"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevB.79.205420",
      "journal": "Physical Review B",
      "year": 2009,
      "month": "May",
      "volume": 79,
      "number": 20,
      "pages": 205420
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhRvB..79t5420A"
    }
  }
}