{
  "id": "1408.2482",
  "version": "v2",
  "published": "2014-08-11T18:01:21.000Z",
  "updated": "2014-10-28T16:14:29.000Z",
  "title": "Low-temperature behavior of the statistics of the overlap distribution in Ising spin-glass models",
  "authors": [
    "Matthew Wittmann",
    "B. Yucesoy",
    "Helmut G. Katzgraber",
    "J. Machta",
    "A. P. Young"
  ],
  "comment": "11 pages, 6 figures",
  "journal": "Phys. Rev. B 90, 134419 (2014)",
  "doi": "10.1103/PhysRevB.90.134419",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "Using Monte Carlo simulations, we study in detail the overlap distribution for individual samples for several spin-glass models including the infinite-range Sherrington-Kirkpatrick model, short-range Edwards-Anderson models in three and four space dimensions, and one-dimensional long-range models with diluted power-law interactions. We study three long-range models with different powers as follows: the first is approximately equivalent to a short-range model in three dimensions, the second to a short-range model in four dimensions, and the third to a short-range model in the mean-field regime. We study an observable proposed earlier by some of us which aims to distinguish the \"replica symmetry breaking\" picture of the spin-glass phase from the \"droplet picture,\" finding that larger system sizes would be needed to unambiguously determine which of these pictures describes the low-temperature state of spin glasses best, except for the Sherrington-Kirkpatrick model which is unambiguously described by replica symmetry breaking. Finally, we also study the median integrated overlap probability distribution and a typical overlap distribution, finding that these observables are not particularly helpful in distinguishing the replica symmetry breaking and the droplet pictures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-11T18:01:21.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-28T16:14:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.50.Lk",
      "75.40.Mg",
      "05.50.+q",
      "64.60.-i"
    ],
    "keywords": [
      "overlap distribution",
      "ising spin-glass models",
      "low-temperature behavior",
      "replica symmetry breaking",
      "short-range model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2014,
      "month": "Oct",
      "volume": 90,
      "number": 13,
      "pages": 134419
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvB..90m4419W"
    }
  }
}