{
  "id": "1310.0514",
  "version": "v2",
  "published": "2013-10-01T22:58:02.000Z",
  "updated": "2014-05-04T10:12:09.000Z",
  "title": "On fluctuations and localization length for the Anderson model on a strip",
  "authors": [
    "Ilia Binder",
    "Michael Goldstein",
    "Mircea Voda"
  ],
  "comment": "20 pages; v2: fixed a number of typos and small mistakes, added to the introduction",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We consider the Anderson model on a strip. Assuming that potentials have bounded density with considerable tails we get a lower bound for the fluctuations of the logarithm of the Green's function in a finite box. This implies an effective estimate by $ \\exp(CW^2) $ for the localization length of the Anderson model on the strip of width $ W $. The results are obtained, actually, for a more general model with a non-local operator in the vertical direction.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-04T10:12:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anderson model",
      "localization length",
      "fluctuations",
      "non-local operator",
      "greens function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.0514B"
    }
  }
}