{
  "id": "cond-mat/0211521",
  "version": "v1",
  "published": "2002-11-23T04:43:01.000Z",
  "updated": "2002-11-23T04:43:01.000Z",
  "title": "Binder Parameter of a Heisenberg Spin-Glass Model in Four Dimensions",
  "authors": [
    "Takayuki Shirakura",
    "Fumitaka Matsubara"
  ],
  "comment": "4 pages including 4 figures, submitted to Phys. Rev. B",
  "doi": "10.1103/PhysRevB.67.100405",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We studied the phase transition of the $\\pm J$ Heisenberg model with and without a random anisotropy on four dimensional lattice $L\\times L\\times L\\times (L+1)$ $(L\\leq 9)$. We showed that the Binder parameters $g(L,T)$'s for different sizes do not cross even when the anisotropy is present. On the contrary, when a strong anisotropy exists, $g(L,T)$ exhibits a steep negative dip near the spin-glass phase transition temperature $T_{\\rm SG}$ similarly to the $p-$state infinite-range Potts glass model with $p \\geq 3$, in which the one-step replica-symmetry-breaking (RSB) occurs. We speculated that a one-step RSB-like state occurs below $T_{\\rm SG}$, which breaks the usual crossing behavior of $g(L,T)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-23T04:43:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heisenberg spin-glass model",
      "binder parameter",
      "state infinite-range potts glass model",
      "dimensions",
      "spin-glass phase transition temperature"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}