{
  "id": "cond-mat/9801229",
  "version": "v1",
  "published": "1998-01-22T10:28:00.000Z",
  "updated": "1998-01-22T10:28:00.000Z",
  "title": "Spectral statistics in disordered metals: a trajectories approach",
  "authors": [
    "Robert A. Smith",
    "Igor V. Lerner",
    "Boris L. Altshuler"
  ],
  "comment": "9 pages in REVTeX two-column format including 4 figures; submitted to Phys.Rev.B",
  "journal": "Phys. Rev. B 58 (1998) 10343",
  "doi": "10.1103/PhysRevB.58.10343",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We show that the perturbative expansion of the two-level correlation function, $R(\\omega)$, in disordered conductors can be understood semiclassically in terms of self-intersecting particle trajectories. This requires the extension of the standard diagonal approximation to include pairs of paths which are non-identical but have almost identical action. The number of diagrams thus produced is much smaller than in a standard field-theoretical approach. We show that such a simplification occurs because $R(\\omega)$ has a natural representation as the second derivative of free energy $F(\\omega)$. We calculate $R(\\omega)$ to 3-loop order, and verify a one-parameter scaling hypothesis for it in 2d. We discuss the possibility of applying our ``weak diagonal approximation'' to generic chaotic systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-01-22T10:28:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "trajectories approach",
      "spectral statistics",
      "disordered metals",
      "two-level correlation function",
      "weak diagonal approximation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}