{
  "id": "cond-mat/0012208",
  "version": "v2",
  "published": "2000-12-12T18:02:45.000Z",
  "updated": "2000-12-14T11:57:15.000Z",
  "title": "Electrons on a sphere in disorder potential",
  "authors": [
    "D. N. Aristov"
  ],
  "comment": "11 pages, REVTEX, 9 eps figures; references added to Sec.3",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We investigate, both analytically and numerically, the behavior of the electron gas on a sphere in the presence of point-like impurities. We find a criterion when the disorder can be regarded as small one and the main effect is the broadening of rotational multiplets. In the latter regime the statistics of one impurity-induced band is studied numerically. The energy level spacing distribution function follows the law P(s) ~ s exp(-a s^b) with 1<b<2. The number variance shows various possibilities, strongly dependent on the chosen model of disorder.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-12-14T11:57:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "disorder potential",
      "energy level spacing distribution function",
      "electron gas",
      "number variance",
      "main effect"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000cond.mat.12208A"
    }
  }
}