{
  "id": "cond-mat/0212569",
  "version": "v1",
  "published": "2002-12-23T15:43:54.000Z",
  "updated": "2002-12-23T15:43:54.000Z",
  "title": "Numerical investigations of scaling at the Anderson transition",
  "authors": [
    "Rudolf A Roemer",
    "Michael Schreiber"
  ],
  "comment": "18 pages, 6 figures, \"The Anderson Transition and its Ramifications-Localisation, Quantum Interference, and Interactions\", 'Lecture Notes in Physics' series, ed. T. Brandes and S. Kettemann, Springer Verlag, to be published",
  "journal": "\"The Anderson Transition and its Ramifications -- Localisation, Quantum Interference, and Interactions\" (T Brandes and S Kettemann, eds.), Springer, Berlin, pp. 3-19 (2003)",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mes-hall"
  ],
  "abstract": "At low temperature T, a significant difference between the behavior of crystals on the one hand and disordered solids on the other is seen: sufficiently strong disorder can give rise to a transition of the transport properties from conducting behavior with finite resistance R to insulating behavior with R=infinity as T -> 0. This well-studied phenomenon is called the disorder-driven metal-insulator transition and it is characteristic to non-crystalline solids. In this review of recent advances, we have presented results of transport studies in disordered systems, ranging from modifications of the standard Anderson model of localization to effects of a two-body interaction. Of paramount importance in these studies was always the highest possible accuracy of the raw data combined with the careful subsequent application of the finite-size scaling technique. In fact, it is this scaling method that has allowed numerical studies to move beyond simple extrapolations and reliably construct estimates of quantities as if one were studying an infinite system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-12-23T15:43:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anderson transition",
      "numerical investigations",
      "standard anderson model",
      "disorder-driven metal-insulator transition",
      "simple extrapolations"
    ],
    "tags": [
      "journal article",
      "lecture notes"
    ],
    "publication": {
      "doi": "10.1007/b13139",
      "journal": "Anderson Localization and Its Ramifications: Disorder, Phase Coherence and Electron Correlations",
      "year": 2003,
      "volume": 630,
      "pages": 3
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003LNP...630....3R"
    }
  }
}