{
  "id": "cond-mat/0104021",
  "version": "v1",
  "published": "2001-04-02T12:08:46.000Z",
  "updated": "2001-04-02T12:08:46.000Z",
  "title": "Stiffness of the Heisenberg Spin-Glass Model at Zero- and Finite-Temperatures in Three Dimensions",
  "authors": [
    "S. Endoh",
    "F. Matsubara",
    "T. Shirakura"
  ],
  "comment": "9pages, 8figures, submitted to J. Phys. Soc. Jpn",
  "doi": "10.1143/JPSJ.70.1543",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We examine the stiffness of the Heisenberg spin-glass (SG) model at both zero temperature (T=0) and finite temperatures ($T \\ne 0$) in three dimensions. We calculate the excess energies at T=0 which are gained by rotating and reversing all the spins on one surface of the lattice, and find that they increase with the lattice size $L$. We also calculate the excess free-energies at $T \\ne 0$ which correspond to these excess energies, and find that they increase with $L$ at low temperatures, while they decrease with increasing $L$ at high temperatures. These results strongly suggest the occurrence of the SG phase at low temperatures. The SG phase transition temperature is estimated to be $T_{\\rm SG} \\sim 0.19J$ from the lattice size dependences of these excess free-energies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-04-02T12:08:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heisenberg spin-glass model",
      "dimensions",
      "finite-temperatures",
      "excess energies",
      "sg phase transition temperature"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}