{
  "id": "cond-mat/0009054",
  "version": "v3",
  "published": "2000-09-05T07:58:18.000Z",
  "updated": "2001-02-13T15:25:49.000Z",
  "title": "Exact Finite-Size-Scaling Corrections to the Critical Two-Dimensional Ising Model on a Torus",
  "authors": [
    "J. Salas"
  ],
  "comment": "26 pages (LaTeX). Self-unpacking file containing the tex file and three macros (indent.sty, eqsection.sty, subeqnarray.sty). Added discussions on the results and new references. Version to be published in J. Phys. A",
  "journal": "J.Phys.A34:1311-1331,2001",
  "doi": "10.1088/0305-4470/34/7/307",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat"
  ],
  "abstract": "We analyze the finite-size corrections to the energy and specific heat of the critical two-dimensional spin-1/2 Ising model on a torus. We extend the analysis of Ferdinand and Fisher to compute the correction of order L^{-3} to the energy and the corrections of order L^{-2} and L^{-3} to the specific heat. We also obtain general results on the form of the finite-size corrections to these quantities: only integer powers of L^{-1} occur, unmodified by logarithms (except of course for the leading $\\log L$ term in the specific heat); and the energy expansion contains only odd powers of L^{-1}. In the specific-heat expansion any power of L^{-1} can appear, but the coefficients of the odd powers are proportional to the corresponding coefficients of the energy expansion.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-02-13T15:25:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical two-dimensional ising model",
      "exact finite-size-scaling corrections",
      "specific heat",
      "odd powers",
      "energy expansion contains"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 532965
    }
  }
}