{
  "id": "1604.06470",
  "version": "v1",
  "published": "2016-04-21T20:02:22.000Z",
  "updated": "2016-04-21T20:02:22.000Z",
  "title": "Thermodynamics of the two-dimensional XY model from functional renormalization",
  "authors": [
    "Pawel Jakubczyk",
    "Andreas Eberlein"
  ],
  "comment": "8 pages, 4 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.quant-gas",
    "cond-mat.supr-con",
    "hep-th"
  ],
  "abstract": "We solve the nonperturbative renormalization-group flow equations for the two-dimensional XY model at the truncation level of the (complete) second-order derivative expansion. We compute the thermodynamic properties in the high-temperature phase and compare the non-universal features specific to the XY model with results from Monte Carlo simulations. In particular, we study the position and magnitude of the specific heat peak as a function of temperature. The obtained results compare well with Monte Carlo simulations. We additionally gauge the accuracy of simplified nonperturbative renormalization-group treatments relying on $\\phi^4$-type truncations. Our computation indicates that such an approximation is insufficient in the high-$T$ phase and a correct analysis of the specific heat profile requires account of an infinite number of interaction vertices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-21T20:02:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional xy model",
      "functional renormalization",
      "monte carlo simulations",
      "nonperturbative renormalization-group treatments relying",
      "thermodynamic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160406470J"
    }
  }
}