{
  "id": "0709.0894",
  "version": "v1",
  "published": "2007-09-06T15:55:14.000Z",
  "updated": "2007-09-06T15:55:14.000Z",
  "title": "Comment on \"Ultrametricity in the Edwards-Anderson Model\"",
  "authors": [
    "Thomas Jorg",
    "Florent Krzakala"
  ],
  "comment": "1 page, 1 figure",
  "journal": "Phys. Rev. Lett. 100, 159701 (2008)",
  "doi": "10.1103/PhysRevLett.100.159701",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "In a recent interesting Letter Contucci {\\it et al.} have investigated several properties of the three-dimensional (3d) Edwards-Anderson (EA) Ising spin glass. They claim to have found strong numerical evidence for the presence of a complex ultrametric structure similar to the one described by the replica symmetry breaking solution of the mean field model. We illustrate by numerical simulations that the relations used by Contucci {\\it et al.} as evidence for an ultrametric structure in the 3d EA model are fulfilled to similar accuracy in the two-dimensional EA model, which is well-described by the droplet picture and has no spin glass phase at finite temperature. We conclude that the data presented in the Contucci {\\it et al.} Letter is not sufficient to dismiss the possibility that, e.g., the droplet model might describe the behavior of the 3d EA model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-06T15:55:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "edwards-anderson model",
      "3d ea model",
      "ultrametricity",
      "complex ultrametric structure similar",
      "replica symmetry breaking solution"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 1,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.0894J"
    }
  }
}