{
  "id": "cond-mat/0510571",
  "version": "v1",
  "published": "2005-10-21T11:08:57.000Z",
  "updated": "2005-10-21T11:08:57.000Z",
  "title": "Critical line of an n-component cubic model",
  "authors": [
    "Wenan Guo",
    "Xiaofeng Qian",
    "Henk W. J. Blöte",
    "F. Y. Wu"
  ],
  "journal": "Phys. Rev. E 73, 026104(2006)",
  "doi": "10.1103/PhysRevE.73.026104",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider a special case of the n-component cubic model on the square lattice, for which an expansion exists in Ising-like graphs. We construct a transfer matrix and perform a finite-size-scaling analysis to determine the critical points for several values of n. Furthermore we determine several universal quantities, including three critical exponents. For n<2, these results agree well with the theoretical predictions for the critical O(n) branch. This model is also a special case of the ($N_\\alpha,N_\\beta$) model of Domany and Riedel. It appears that the self-dual plane of the latter model contains the exactly known critical points of the n=1 and 2 cubic models. For this reason we have checked whether this is also the case for 1<n<2. However, this possibility is excluded by our numerical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-21T11:08:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "n-component cubic model",
      "critical line",
      "special case",
      "critical points",
      "model contains"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}