{
  "id": "cond-mat/9809370",
  "version": "v1",
  "published": "1998-09-28T08:47:42.000Z",
  "updated": "1998-09-28T08:47:42.000Z",
  "title": "Application of random matrix theory to quasiperiodic systems",
  "authors": [
    "Michael Schreiber",
    "Uwe Grimm",
    "Rudolf A. Roemer",
    "Jian-Xin Zhong"
  ],
  "comment": "proceedings of \"Percolation98\", 5 Elsart pages with 5 figures, to be published in Physica A",
  "journal": "Physica A 266, 477-480 (1999)",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "We study statistical properties of energy spectra of a tight-binding model on the two-dimensional quasiperiodic Ammann-Beenker tiling. Taking into account the symmetries of finite approximants, we find that the underlying universal level-spacing distribution is given by the Gaussian orthogonal random matrix ensemble, and thus differs from the critical level-spacing distribution observed at the metal-insulator transition in the three-dimensional Anderson model of disorder. Our data allow us to see the difference to the Wigner surmise.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-09-28T08:47:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random matrix theory",
      "quasiperiodic systems",
      "application",
      "gaussian orthogonal random matrix ensemble",
      "three-dimensional anderson model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}