{
  "id": "cond-mat/0607376",
  "version": "v4",
  "published": "2006-07-14T15:00:52.000Z",
  "updated": "2007-06-15T12:58:07.000Z",
  "title": "Ultrametricity in the Edwards-Anderson Model",
  "authors": [
    "P. Contucci",
    "C. Giardina'",
    "C. Giberti",
    "G. Parisi",
    "C. Vernia"
  ],
  "comment": "typos corrected",
  "journal": "Phys. Rev. Lett. 99, 057206 (2007)",
  "doi": "10.1103/PhysRevLett.99.057206",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We test the property of ultrametricity for the spin glass three-dimensional Edwards-Anderson model in zero magnetic field with numerical simulations up to $20^3$ spins. We find an excellent agreement with the prediction of the mean field theory. Since ultrametricity is not compatible with a trivial structure of the overlap distribution our result contradicts the droplet theory.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2007-06-15T12:58:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ultrametricity",
      "spin glass three-dimensional edwards-anderson model",
      "zero magnetic field",
      "mean field theory",
      "droplet theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}