{
  "id": "cond-mat/9907067",
  "version": "v1",
  "published": "1999-07-05T14:29:03.000Z",
  "updated": "1999-07-05T14:29:03.000Z",
  "title": "Distribution of fractal dimensions at the Anderson transition",
  "authors": [
    "D. A. Parshin",
    "H. R. Schober"
  ],
  "journal": "Phys. Rev. Lett. 83, 4590 (1999).",
  "doi": "10.1103/PhysRevLett.83.4590",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We investigated numerically the distribution of participation numbers in the 3d Anderson tight-binding model at the localization-delocalization threshold. These numbers in {\\em one} disordered system experience strong level-to-level fluctuations in a wide energy range. The fluctuations grow substantially with increasing size of the system. We argue that the fluctuations of the correlation dimension, $D_2$ of the wave functions are the main reason for this. The distribution of these correlation dimensions at the transition is calculated. In the thermodynamic limit ($L\\to \\infty$) it does not depend on the system size $L$. An interesting feature of this limiting distribution is that it vanishes exactly at $D_{\\rm 2max}=1.83$, the highest possible value of the correlation dimension at the Anderson threshold in this model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-07-05T14:29:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractal dimensions",
      "anderson transition",
      "distribution",
      "correlation dimension",
      "system experience strong level-to-level fluctuations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}