{
  "id": "cond-mat/0307525",
  "version": "v2",
  "published": "2003-07-22T08:28:30.000Z",
  "updated": "2004-03-15T13:43:40.000Z",
  "title": "A renormalization approach for the 2D Anderson model at the band edge: Scaling of the localization volume",
  "authors": [
    "Stefanie Russ"
  ],
  "doi": "10.1103/PhysRevB.70.174201",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the localization volumes $V$ (participation ratio) of electronic wave functions in the 2d-Anderson model with diagonal disorder. Using a renormalization procedure, we show that at the band edges, i.e. for energies $E\\approx \\pm 4$, $V$ is inversely proportional to the variance $\\var$ of the site potentials. Using scaling arguments, we show that in the neighborhood of $E=\\pm 4$, $V$ scales as $V=\\var^{-1}g((4-\\ve E\\ve)/\\var)$ with the scaling function $g(x)$. Numerical simulations confirm this scaling ansatz.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-03-15T13:43:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "2d anderson model",
      "localization volume",
      "band edge",
      "renormalization approach",
      "electronic wave functions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}