{
  "id": "1808.07525",
  "version": "v1",
  "published": "2018-08-22T19:00:08.000Z",
  "updated": "2018-08-22T19:00:08.000Z",
  "title": "Specific Heat of Ising Model with Holes: Mathematical Details Using Dimer Approaches",
  "authors": [
    "Helen Au-Yang",
    "Jacques H. H. Perk"
  ],
  "comment": "LaTeX, 19 pages, 3 figures, provides mathematical details for arXiv:1806.00873",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "In this paper, we use the dimer method to obtain the free energy of Ising models consisting of repeated horizontal strips of width $m$ connected by sequences of vertical strings of length $n$ mutually separated by distance $N$, with $N$ arbitrary, to investigate the effects of connectivity and proximity on the specific heat. The decoration method is used to transform the strings of $n+1$ spins interacting with their nearest neighbors with coupling $J$ into a pair with coupling $\\bar J$ between the two spins. The free energy per site is given as a single integral and some results for critical temperatures are derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-22T19:00:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "specific heat",
      "ising model",
      "dimer approaches",
      "free energy",
      "mathematical"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}