{
  "id": "cond-mat/0604124",
  "version": "v2",
  "published": "2006-04-05T16:25:26.000Z",
  "updated": "2006-05-04T12:51:20.000Z",
  "title": "Critical behavior of the random-anisotropy model in the strong-anisotropy limit",
  "authors": [
    "Francesco Parisen Toldin",
    "Andrea Pelissetto",
    "Ettore Vicari"
  ],
  "comment": "24 pages, 13 figs, J. Stat. Mech. in press",
  "journal": "J. Stat. Mech. (2006) P06002",
  "doi": "10.1088/1742-5468/2006/06/P06002",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We investigate the nature of the critical behavior of the random-anisotropy Heisenberg model (RAM), which describes a magnetic system with random uniaxial single-site anisotropy, such as some amorphous alloys of rare earths and transition metals. In particular, we consider the strong-anisotropy limit (SRAM), in which the Hamiltonian can be rewritten as the one of an Ising spin-glass model with correlated bond disorder. We perform Monte Carlo simulations of the SRAM on simple cubic L^3 lattices, up to L=30, measuring correlation functions of the replica-replica overlap, which is the order parameter at a glass transition. The corresponding results show critical behavior and finite-size scaling. They provide evidence of a finite-temperature continuous transition with critical exponents $\\eta_o=-0.24(4)$ and $\\nu_o=2.4(6)$. These results are close to the corresponding estimates that have been obtained in the usual Ising spin-glass model with uncorrelated bond disorder, suggesting that the two models belong to the same universality class. We also determine the leading correction-to-scaling exponent finding $\\omega = 1.0(4)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-05-04T12:51:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical behavior",
      "strong-anisotropy limit",
      "random-anisotropy model",
      "random uniaxial single-site anisotropy",
      "perform monte carlo simulations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2006,
      "month": "Jun",
      "volume": 2006,
      "number": 6,
      "pages": 6002
    },
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006JSMTE..06..002P"
    }
  }
}