{
  "id": "cond-mat/0001309",
  "version": "v1",
  "published": "2000-01-21T08:22:53.000Z",
  "updated": "2000-01-21T08:22:53.000Z",
  "title": "Defect fugacity, Spinwave Stiffness and T_c of the 2-d Planar Rotor Model",
  "authors": [
    "S. Sengupta",
    "P. Nielaba",
    "K. Binder"
  ],
  "comment": "7 pages, 4 figures",
  "doi": "10.1209/epl/i2000-00322-3",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We obtain precise values for the fugacities of vortices in the 2-d planar rotor model from Monte Carlo simulations in the sector with {\\em no} vortices. The bare spinwave stiffness is also calculated and shown to have significant anharmonicity. Using these as inputs in the KT recursion relations, we predict the temperature T_c = 0.925, using linearised equations, and $T_c = 0.899 \\pm >.005$ using next higher order corrections, at which vortex unbinding commences in the unconstrained system. The latter value, being in excellent agreement with all recent determinations of T_c, demonstrates that our method 1) constitutes a stringent measure of the relevance of higher order terms in KT theory and 2) can be used to obtain transition temperatures in similar systems with modest computational effort.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-01-21T08:22:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "planar rotor model",
      "defect fugacity",
      "bare spinwave stiffness",
      "higher order terms",
      "kt recursion relations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}