{
  "id": "1304.7641",
  "version": "v1",
  "published": "2013-04-29T12:26:42.000Z",
  "updated": "2013-04-29T12:26:42.000Z",
  "title": "Numerical results for the Edwards-Anderson spin-glass model at low temperature",
  "authors": [
    "J. F. Fernández",
    "J. J. Alonso"
  ],
  "comment": "9 LaTeX pages, 12 pdf figures, 1 table",
  "journal": "Phys. Rev. B 87, 134205 (2013)",
  "doi": "10.1103/PhysRevB.87.134205",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We have simulated Edwards-Anderson (EA) as well as Sherrington-Kirkpatrick systems of L^3 spins. After averaging over large sets of EA system samples of 3 =< L =< 10, we obtain accurate numbers for distributions p(q) of the overlap parameter q at very low temperature T. We find p(0)/T --> 0.233(4) as T --> 0. This is in contrast with the droplet scenario of spin glasses. We also study the number of mismatched links --between replica pairs-- that come with large scale excitations. Contributions from small scale excitations are discarded. We thus obtain for the fractal dimension of outer surfaces of q~0 excitations in the EA model d_s --> 2.59(3) as T tends to 0. This is in contrast with d_s --> 3 as T --> 0 that is predicted by mean field theory for the macroscopic limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-29T12:26:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.10.Nr",
      "75.30.Kz",
      "75.40.Mg",
      "75.50.Lk"
    ],
    "keywords": [
      "edwards-anderson spin-glass model",
      "low temperature",
      "numerical results",
      "mean field theory",
      "large scale excitations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2013,
      "month": "Apr",
      "volume": 87,
      "number": 13,
      "pages": 134205
    },
    "note": {
      "typesetting": "PDFLaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvB..87m4205F"
    }
  }
}