{
  "id": "1006.2138",
  "version": "v2",
  "published": "2010-06-10T20:00:12.000Z",
  "updated": "2010-08-06T15:14:30.000Z",
  "title": "Monte Carlo study of the XY-model on Sierpinski gasket",
  "authors": [
    "Bozidar Mitrovic",
    "Shyamal K. Bose"
  ],
  "comment": "9 pages, 7 figures, published in Phase Transitions, August 2010",
  "journal": "Phase Transitions 83, pp.572-580 (2010)",
  "doi": "10.1080/01411594.2010.500804",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.supr-con"
  ],
  "abstract": "We have performed a Monte Carlo study of the classical XY-model on two-dimensional Sierpinski gaskets of several cluster sizes. From the dependence of the helicity modulus on the cluster size we conclude that there is no phase transition in this system at a finite temperature. This is in agreement with previous findings for the harmonic approximation to the XY-model on Sierpinski gasket and is analogous to the absence of finite temperature phase transition for the Ising model on fractals with a finite order of ramification.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-08-06T15:14:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "monte carlo study",
      "finite temperature phase transition",
      "two-dimensional sierpinski gaskets",
      "finite order",
      "helicity modulus"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.2138M"
    }
  }
}