{
  "id": "cond-mat/0201056",
  "version": "v1",
  "published": "2002-01-05T04:51:06.000Z",
  "updated": "2002-01-05T04:51:06.000Z",
  "title": "Exact results on spin glass models",
  "authors": [
    "Hidetoshi Nishimori"
  ],
  "comment": "9 pages, Proceedings of STATPHYS21, to be published in Physica A",
  "journal": "Physica A 306, 68-75 (2002)",
  "doi": "10.1016/S0378-4371(02)00486-7",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "Exact and/or rigorous results are reviewed for the Ising and XY/Villain spin glasses in finite dimensions, such as the exact energy, correlation identities and a functional relation between the distribution functions of ferromagnetic and spin glass order parameters. This last relation is useful to prove that the phase space is not complex on a line in the phase diagram. The spin wave theory neglecting periodicity is shown to give exact results for the Villain model on a line in the phase diagram. Implications of this fact on the renormalization-group results for the random-phase XY/Villain model in two dimensions are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-01-05T04:51:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin glass models",
      "exact results",
      "spin wave theory neglecting periodicity",
      "spin glass order parameters",
      "phase diagram"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}