{
  "id": "cond-mat/0402018",
  "version": "v1",
  "published": "2004-02-01T11:49:31.000Z",
  "updated": "2004-02-01T11:49:31.000Z",
  "title": "Effects of Scale-Free Disorder on the Anderson Metal-Insulator Transition",
  "authors": [
    "Macleans L. Ndawana",
    "Rudolf A. Roemer",
    "Michael Schreiber"
  ],
  "comment": "submitted to Phys. Rev. Lett",
  "journal": "Europhys. Lett. 68, 678-684 (2004)",
  "doi": "10.1209/epl/i2004-10267-5",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mes-hall"
  ],
  "abstract": "We investigate the three-dimensional Anderson model of localization via a modified transfer-matrix method in the presence of scale-free diagonal disorder characterized by a disorder correlation function $g(r)$ decaying asymptotically as $r^{-\\alpha}$. We study the dependence of the localization-length exponent $\\nu$ on the correlation-strength exponent $\\alpha$. % For fixed disorder $W$, there is a critical $\\alpha_{\\rm c}$, such that for $\\alpha < \\alpha_{\\rm c}$, $\\nu=2/\\alpha$ and for $\\alpha > \\alpha_{\\rm c}$, $\\nu$ remains that of the uncorrelated system in accordance with the extended Harris criterion. At the band center, $\\nu$ is independent of $\\alpha$ but equal to that of the uncorrelated system. The physical mechanisms leading to this different behavior are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-02-01T11:49:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anderson metal-insulator transition",
      "scale-free disorder",
      "uncorrelated system",
      "disorder correlation function",
      "three-dimensional anderson model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}