{
  "id": "0912.4705",
  "version": "v4",
  "published": "2009-12-23T19:55:36.000Z",
  "updated": "2012-05-07T10:46:37.000Z",
  "title": "Potts model on recursive lattices: some new exact results",
  "authors": [
    "Pedro D. Alvarez",
    "Fabrizio Canfora",
    "Sebastian A. Reyes",
    "Simon Riquelme"
  ],
  "comment": "17 pages, 19 figures. v2 typos corrected, title changed and references, acknowledgements and two further original examples added. v3 one further example added. v4 final version",
  "journal": "Eur. Phys. J. B (2012) 85: 99",
  "doi": "10.1140/epjb/e2012-10625-7",
  "categories": [
    "cond-mat.stat-mech",
    "hep-ph",
    "hep-th"
  ],
  "abstract": "We compute the partition function of the Potts model with arbitrary values of $q$ and temperature on some strip lattices. We consider strips of width $L_y=2$, for three different lattices: square, diced and `shortest-path' (to be defined in the text). We also get the exact solution for strips of the Kagome lattice for widths $L_y=2,3,4,5$. As further examples we consider two lattices with different type of regular symmetry: a strip with alternating layers of width $L_y=3$ and $L_y=m+2$, and a strip with variable width. Finally we make some remarks on the Fisher zeros for the Kagome lattice and their large q-limit.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-05-07T10:46:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "potts model",
      "exact results",
      "recursive lattices",
      "kagome lattice",
      "partition function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "European Physical Journal B",
      "year": 2012,
      "month": "Mar",
      "volume": 85,
      "number": 3,
      "pages": 99
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 841172,
      "adsabs": "2012EPJB...85...99A"
    }
  }
}