{
  "id": "1106.3376",
  "version": "v2",
  "published": "2011-06-17T02:23:14.000Z",
  "updated": "2011-08-12T07:06:53.000Z",
  "title": "The dimer model on the triangular lattice",
  "authors": [
    "N. Sh. Izmailian",
    "Ralph Kenna"
  ],
  "comment": "15 pages, 4 figures",
  "journal": "Phys. Rev. E 84, 021107 (2011)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We analyze the partition function of the dimer model on an $\\mathcal{M} \\times \\mathcal{N}$ triangular lattice wrapped on torus obtained by Fendley, Moessner and Sondhi [Phys. Rev. B \\textbf{66}, 214513 (2002)]. From a finite-size analysis we have found that the dimer model on such a lattice can be described by conformal field theory having central charge $c=1$. The shift exponent for the specific heat is found to depend on the parity of the number of lattice sites $\\mathcal{N}$ along a given lattice axis: e.g., for odd $\\mathcal{N}$ we obtain the shift exponent $\\lambda=1$, while for even $\\mathcal{N}$ it is infinite ($\\lambda=\\infty$). In the former case, therefore, the finite-size specific-heat pseudocritical point is size dependent, while in the latter case, it coincides with the critical point of the thermodynamic limit.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-12T07:06:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "75.10.-b"
    ],
    "keywords": [
      "dimer model",
      "shift exponent",
      "conformal field theory",
      "partition function",
      "specific heat"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "doi": "10.1103/PhysRevE.84.021107",
      "year": 2011,
      "month": "Aug",
      "volume": 84,
      "number": 2,
      "pages": "021107"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvE..84b1107I"
    }
  }
}