{
  "id": "0802.2760",
  "version": "v2",
  "published": "2008-02-20T06:04:39.000Z",
  "updated": "2009-03-04T07:37:31.000Z",
  "title": "Multicritical points for the spin glass models on hierarchical lattices",
  "authors": [
    "Masayuki Ohzeki",
    "Hidetoshi Nishimori",
    "A. Nihat Berker"
  ],
  "comment": "11 pages, 9 figures, 7 tables This is the published version",
  "journal": "Phys. Rev. E 77, 061116 (2008)",
  "doi": "10.1103/PhysRevE.77.061116",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "The locations of multicritical points on many hierarchical lattices are numerically investigated by the renormalization group analysis. The results are compared with an analytical conjecture derived by using the duality, the gauge symmetry and the replica method. We find that the conjecture does not give the exact answer but leads to locations slightly away from the numerically reliable data. We propose an improved conjecture to give more precise predictions of the multicritical points than the conventional one. This improvement is inspired by a new point of view coming from renormalization group and succeeds in deriving very consistent answers with many numerical data.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-04T07:37:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.10.Nr",
      "64.60.ae",
      "05.70.Fh",
      "05.10.Cc"
    ],
    "keywords": [
      "spin glass models",
      "multicritical points",
      "hierarchical lattices",
      "renormalization group analysis",
      "conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2008,
      "month": "Jun",
      "volume": 77,
      "number": 6,
      "pages": "061116"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvE..77f1116O"
    }
  }
}