{
  "id": "cond-mat/9611235",
  "version": "v1",
  "published": "1996-11-28T14:04:08.000Z",
  "updated": "1996-11-28T14:04:08.000Z",
  "title": "Log-normal Distribution of Level Curvatures in the Localized Regime: Analytical Verification",
  "authors": [
    "Michael Titov",
    "Daniel Braun",
    "Yan V. Fyodorov"
  ],
  "comment": "4 pages (revtex), 1 figure (ps file)",
  "journal": "J. Phys. A 30, L339 (1997)",
  "doi": "10.1088/0305-4470/30/10/007",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mes-hall"
  ],
  "abstract": "We study numerically and analytically the moments of the dimensionless level curvature for one-dimensional disordered rings of the circumference L pierced by a magnetic flux. The negative moments of the curvature distribution can be evaluated analytically in the extreme localization limit. The ensuing small curvature asymptotic of the corresponding distribution has a \"log-normal\" behavior. Numerically studied positive moments show differences from other log-normally distributed quantities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-11-28T14:04:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "log-normal distribution",
      "localized regime",
      "analytical verification",
      "extreme localization limit",
      "ensuing small curvature asymptotic"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}