{
  "id": "1002.2632",
  "version": "v1",
  "published": "2010-02-12T20:39:58.000Z",
  "updated": "2010-02-12T20:39:58.000Z",
  "title": "Anderson localization and Supersymmetry",
  "authors": [
    "K. B. Efetov"
  ],
  "comment": "Submitted as a chapter in the book \"Fifty Years of Anderson Localization\"",
  "journal": "Int.J.Mod.Phys.B24:1756-1788,2010",
  "doi": "10.1142/S0217979210064587",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mes-hall"
  ],
  "abstract": "The supersymmetry method for study of disordered systems is shortly reviewed. The discussion starts with a historical introduction followed by an explanation of the idea of using Grassmann anticommuting variables for investigating disordered metals. After that the nonlinear supermatrix $\\sigma$-model is derived. Solution of several problems obtained with the help of the $\\sigma$-model is presented. This includes the problem of the level statistics in small metal grains, localization in wires and films, and Anderson metal-insulator transition. Calculational schemes developed for studying these problems form the basis of subsequent applications of the supersymmetry approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-12T20:39:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anderson localization",
      "anderson metal-insulator transition",
      "small metal grains",
      "supersymmetry approach",
      "grassmann anticommuting variables"
    ],
    "tags": [
      "book chapter",
      "journal article"
    ],
    "publication": {
      "journal": "International Journal of Modern Physics B",
      "year": 2010,
      "volume": 24,
      "number": "12-13",
      "pages": 1756
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 845872,
      "adsabs": "2010IJMPB..24.1756E"
    }
  }
}