{
  "id": "cond-mat/0301499",
  "version": "v2",
  "published": "2003-01-25T13:15:30.000Z",
  "updated": "2003-10-14T19:34:17.000Z",
  "title": "Criticality versus q in the 2+1-dimensional $Z_q$ clock model",
  "authors": [
    "J. Hove",
    "A. Sudbo"
  ],
  "comment": "Minor corrections; journal ref added",
  "journal": "Phys.Rev.E68:046107,2003",
  "doi": "10.1103/PhysRevE.68.046107",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Using Monte Carlo simulations we have studied the $d=3$ $Z_q$ clock model in two different representations, the phase-representation and the loop/dumbbell-gas (LDG) representation. We find that for $q \\ge 5$ the critical exponents $\\alpha$ and $\\nu$ for the specific heat and the correlation length, respectively, take on values corresponding to the case $q\\to \\infty$, where $\\lim_{q \\to \\infty} Z_q = 3DXY$ model, i.e. in terms of critical properties the limiting behaviour is reached already at $q=5$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-10-14T19:34:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "64.60.Cn",
      "11.15.Ha",
      "71.10.Hf"
    ],
    "keywords": [
      "clock model",
      "criticality",
      "monte carlo simulations",
      "specific heat",
      "correlation length"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 801693
    }
  }
}