{
  "id": "1407.5955",
  "version": "v2",
  "published": "2014-07-22T17:43:25.000Z",
  "updated": "2014-08-28T17:12:26.000Z",
  "title": "DMRG study of the Berezinskii-Kosterlitz-Thouless transitions of the 2D five-state clock model",
  "authors": [
    "Christophe Chatelain"
  ],
  "comment": "11 pages, 12 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The two Berezinskii-Kosterlitz-Thouless phase transitions of the two-dimensional 5-state clock model are studied on infinite strips using the DMRG algorithm. Because of the open boundary conditions, the helicity modulus $\\Upsilon_2$ is computed by imposing twisted magnetic fields at the two boundaries. Its scaling behavior is in good agreement with the existence of essential singularities with $\\sigma=1/2$ at the two transitions. The predicted universal values of $\\Upsilon_2$ are shown to be reached in the thermodynamic limit. The fourth-order helicity modulus is observed to display a dip at the high-temperature BKT transition, like the XY model, and shown to take a new universal value at the low-temperature one. Finally, the scaling behavior of magnetization at the low-temperature transition is compatible with $\\eta=1/4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-22T17:43:25.000Z",
      "title": "DMRG study of the Berezinskii-Kosterlitz-Thouless transitions of the 2D 5-state clock model",
      "abstract": "The two Berezinskii-Kosterlitz-Thouless phase transitions of the two-dimensional 5-state clock model are studied on infinite strips using the DMRG algorithm. Because of the open boundary conditions, the helicity modulus $\\Upsilon_2$ is computed by imposing twisted magnetic fields at the two boundaries. Its scaling behavior is in good agreement with the existence of essential singularities with $\\sigma=1/2$ at the two transitions. The predicted universal values of $\\Upsilon_2$ are shown to be reached in the thermodynamic limit. The fourth-order helicity modulus is observed to display a dip at the low-temperature BKT transition, like the XY model. Finally, the scaling behavior of magnetization at the low temperature transition is compatible with $\\eta=1/4$.",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-08-28T17:12:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "clock model",
      "dmrg study",
      "berezinskii-kosterlitz-thouless transitions",
      "low-temperature bkt transition",
      "open boundary conditions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-5468/2014/11/P11022",
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2014,
      "month": "Nov",
      "volume": 2014,
      "number": 11,
      "pages": 11022
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014JSMTE..11..022C"
    }
  }
}