{
  "id": "0908.2224",
  "version": "v2",
  "published": "2009-08-16T09:14:01.000Z",
  "updated": "2010-02-17T22:42:49.000Z",
  "title": "Numerical studies of a one-dimensional 3-spin spin-glass model with long-range interactions",
  "authors": [
    "Derek Larson",
    "Helmut G. Katzgraber",
    "M. A. Moore",
    "A. P. Young"
  ],
  "comment": "8 pages, 9 figures, 1 table",
  "journal": "Phys. Rev. B 81, 064415 (2010)",
  "doi": "10.1103/PhysRevB.81.064415",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We study a p-spin spin-glass model to understand if the finite-temperature glass transition found in the mean-field regime of p-spin models, and used to model the behavior of structural glasses, persists in the non-mean-field regime. By using a 3-spin spin-glass model with long-range power-law diluted interactions we are able to continuously tune the (effective) space dimension via the exponent of the interactions. Monte Carlo simulations of the spin-glass susceptibility and the two-point finite-size correlation length show that deep in the non-mean-field regime the finite-temperature transition is lost, whereas this is not the case in the mean-field regime, in agreement with the prediction of Moore and Drossel [Phys. Rev. Lett. 89, 217202 (2002)] that 3-spin models are in the same universality class as an Ising spin glass in a magnetic field. However, slightly in the non-mean-field region, we find an apparent transition in the 3-spin model, in contrast to results for the Ising spin glass in a field. This may indicate that even larger sizes are needed to probe the asymptotic behavior in this region.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-02-17T22:42:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.50.Lk",
      "75.40.Mg",
      "05.50.+q",
      "64.60.-i"
    ],
    "keywords": [
      "long-range interactions",
      "numerical studies",
      "ising spin glass",
      "non-mean-field regime",
      "one-dimensional"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2010,
      "month": "Feb",
      "volume": 81,
      "number": 6,
      "pages": "064415"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvB..81f4415L"
    }
  }
}