{
  "id": "1409.1374",
  "version": "v1",
  "published": "2014-09-04T09:15:41.000Z",
  "updated": "2014-09-04T09:15:41.000Z",
  "title": "Revisiting the nonperturbative renormalization-group approach to the Kosterlitz-Thouless transition",
  "authors": [
    "P. Jakubczyk",
    "N. Dupuis",
    "B. Delamotte"
  ],
  "comment": "10 pages, 10 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We revisit the two-dimensional linear O(2) model ($\\varphi^4$ theory) in the framework of the nonperturbative renormalization-group. From the flow equations obtained in the derivative expansion to second order and with optimization of the infrared regulator, we find a transition between a high-temperature (disordered) phase and a low-temperature phase displaying a line of fixed points and algebraic order. We obtain a picture in agreement with the standard theory of the Kosterlitz-Thouless (KT) transition and reproduce the universal features of the transition. In particular, we find the anomalous dimension $\\eta(\\Tkt)\\simeq 0.24$ and the stiffness jump $\\rho_s(\\Tkt^-)\\simeq 0.64$ at the transition temperature $\\Tkt$, in very good agreement with the exact results $\\eta(\\Tkt)=1/4$ and $\\rho_s(\\Tkt^-)=2/\\pi$, as well as an essential singularity of the correlation length in the high-temperature phase as $T\\to \\Tkt$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-04T09:15:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Fh",
      "05.10.Cc",
      "74.20.-z"
    ],
    "keywords": [
      "nonperturbative renormalization-group approach",
      "kosterlitz-thouless transition",
      "two-dimensional linear",
      "essential singularity",
      "exact results"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevE.90.062105",
      "journal": "Physical Review E",
      "year": 2014,
      "month": "Dec",
      "volume": 90,
      "number": 6,
      "pages": "062105"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1315972,
      "adsabs": "2014PhRvE..90f2105J"
    }
  }
}