{
  "id": "0904.3699",
  "version": "v3",
  "published": "2009-04-23T14:14:33.000Z",
  "updated": "2009-11-04T03:29:14.000Z",
  "title": "Monte Carlo studies of the chiral and spin orderings of the three-dimensional Heisenberg spin glass",
  "authors": [
    "Dao Xuan Viet",
    "Hikaru Kawamura"
  ],
  "comment": "20 pages, 24 figures. The Chi^2-analysis of the transition point has been added with new Fig.12. Some references also added",
  "journal": "Phys. Rev. B 80, 064418 (2009)",
  "doi": "10.1103/PhysRevB.80.064418",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "The nature of the ordering of the three-dimensional isotropic Heisenberg spin glass with nearest-neighbor random Gaussian coupling is studied by extensive Monte Carlo simulations. Several independent physical quantities are measured both for the spin and for the chirality, including the correlation-length ratio, the Binder ratio, the glass order parameter, the overlap distribution function and the non-self-averageness parameter. By controlling the effect of the correction-to-scaling, we have obtained a numerical evidence for the occurrence of successive chiral-glass and spin-glass transitions at nonzero temperatures, T_{CG} > T_{SG} > 0. Hence, the spin and the chirality are decoupled in the ordering of the model. The chiral-glass exponents are estimated to be \\nu_{CG}=1.4+-0.2 and \\eta_{CG}=0.6+-0.2, indicating that the chiral-glass transition lies in a universality class different from that of the Ising spin glass. The possibility that the spin and chiral sectors undergo a simultaneous Kosterlitz-Thouless-type transition is ruled out. The chiral-glass state turns out to be non-self-averaging, possibly accompanying a one-step-like peculiar replica-symmetry breaking. Implications to the chirality scenario of experimental spin-glass transitions are discussed.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-11-04T03:29:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.10.Nr",
      "05.10.Ln",
      "75.40.Mg",
      "64.60.F-"
    ],
    "keywords": [
      "three-dimensional heisenberg spin glass",
      "monte carlo studies",
      "spin orderings",
      "three-dimensional isotropic heisenberg spin glass",
      "spin-glass transitions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2009,
      "month": "Aug",
      "volume": 80,
      "number": 6,
      "pages": "064418"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhRvB..80f4418V"
    }
  }
}