{
  "id": "cond-mat/0607565",
  "version": "v2",
  "published": "2006-07-23T14:10:40.000Z",
  "updated": "2006-12-21T19:15:04.000Z",
  "title": "Influence of the Ground-State Topology on the Domain-Wall Energy in the Edwards-Anderson +/- J Spin Glass Model",
  "authors": [
    "F. Roma",
    "S. Risau-Gusman",
    "A. J. Ramirez-Pastor",
    "F. Nieto",
    "E. E. Vogel"
  ],
  "comment": "4 pages, 3 figures. Accepted for publication in Rapid Communications of Phys. Rev. B",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the phase stability of the Edwards-Anderson spin-glass model by analyzing the domain-wall energy. For the bimodal distribution of bonds, a topological analysis of the ground state allows us to separate the system into two regions: the backbone and its environment. We find that the distributions of domain-wall energies are very different in these two regions for the three dimensional (3D) case. Although the backbone turns out to have a very high phase stability, the combined effect of these excitations and correlations produces the low global stability displayed by the system as a whole. On the other hand, in two dimensions (2D) we find that the surface of the excitations avoids the backbone. Our results confirm that a narrow connection exists between the phase stability of the system and the internal structure of the ground-state. In addition, for both 3D and 2D we are able to obtain the fractal dimension of the domain wall by direct means.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-12-21T19:15:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin glass model",
      "domain-wall energy",
      "ground-state topology",
      "low global stability",
      "edwards-anderson spin-glass model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}