{
  "id": "2303.03484",
  "version": "v1",
  "published": "2023-03-06T20:29:03.000Z",
  "updated": "2023-03-06T20:29:03.000Z",
  "title": "Exact coefficients of finite-size corrections in the Ising model with Brascamp-Kunz boundary conditions and their relationships for strip and cylindrical geometries",
  "authors": [
    "Nikolay Sh. Izmailian",
    "Ralph Kenna",
    "Vladimir V. Papoyan"
  ],
  "comment": "Supplementary material included with the paper",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We derive exact finite-size corrections for the free energy $F$ of the Ising model on the ${\\cal M} \\times 2 {\\cal N}$ square lattice with Brascamp-Kunz boundary conditions. We calculate ratios $r_p(\\rho)$ of $p$th coefficients of F for the infinitely long cylinder (${\\cal M} \\to \\infty$) and the infinitely long Brascamp-Kunz strip (${\\cal N} \\to \\infty$) at varying values of the aspect ratio $\\rho={(\\cal M}+1) / 2{\\cal N}$. Like previous studies have shown for the two-dimensional dimer model, the limiting values $p \\to \\infty$ of $r_p(\\rho)$ exhibit abrupt anomalous behaviour at certain values of $\\rho$. These critical values of $\\rho$ and the limiting values of the finite-size-expansion-coefficient ratios differ, however, between the two models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-06T20:29:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brascamp-kunz boundary conditions",
      "finite-size corrections",
      "ising model",
      "exact coefficients",
      "cylindrical geometries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}