{
  "id": "cond-mat/0402471",
  "version": "v1",
  "published": "2004-02-18T15:38:11.000Z",
  "updated": "2004-02-18T15:38:11.000Z",
  "title": "A mean-field theory of Anderson localization",
  "authors": [
    "V. Janis",
    "J. Kolorenc"
  ],
  "comment": "REVTeX4, 4 pages, 2 EPS figures",
  "journal": "Phys. Rev. B71, 033103 (2005)",
  "doi": "10.1103/PhysRevB.71.033103",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "Anderson model of noninteracting disordered electrons is studied in high spatial dimensions. We find that off-diagonal one- and two-particle propagators behave as gaussian random variables w.r.t. momentum summations. With this simplification and with the electron-hole symmetry we reduce the parquet equations for two-particle irreducible vertices to a single algebraic equation for a local vertex. We find a disorder-driven bifurcation point in this equation signalling vanishing of diffusion and onset of Anderson localization. There is no bifurcation in $d=1,2$ where all states are localized. A natural order parameter for Anderson localization pops up in the construction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-02-18T15:38:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean-field theory",
      "natural order parameter",
      "anderson localization pops",
      "disorder-driven bifurcation point",
      "two-particle propagators behave"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}