{
  "id": "0809.1730",
  "version": "v2",
  "published": "2008-09-10T08:22:07.000Z",
  "updated": "2008-11-10T11:10:52.000Z",
  "title": "Dynamical correlations in the Sherrington-Kirkpatrick model in a transverse field",
  "authors": [
    "Kazutaka Takahashi",
    "Koujin Takeda"
  ],
  "comment": "11 pages, 5 figures; title changed, minor changes",
  "journal": "Phys. Rev. B 78, 174415 (2008)",
  "doi": "10.1103/PhysRevB.78.174415",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We calculate the real-time-correlation function of the Sherrington-Kirkpatrick spin-glass model in a transverse field. Using a careful analysis of the perturbative expansion of the functional-integral representation, we derive the asymptotic form of the correlation function. In contrast to the previous works, we find for large transverse field a power-law decay of the correlation with time $t$ as $t^{-3/2}$ at zero temperature and $t^{-2}$ at infinite temperature. At the small field region, we also find a significant change in the correlation which comes from the structural difference between two paramagnetic phases.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-11-10T11:10:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.10.Nr",
      "75.40.Gb",
      "05.30.-d"
    ],
    "keywords": [
      "sherrington-kirkpatrick model",
      "dynamical correlations",
      "sherrington-kirkpatrick spin-glass model",
      "large transverse field",
      "small field region"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2008,
      "month": "Nov",
      "volume": 78,
      "number": 17,
      "pages": 174415
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvB..78q4415T"
    }
  }
}