{
  "id": "cond-mat/0007505",
  "version": "v2",
  "published": "2000-07-31T14:55:16.000Z",
  "updated": "2000-08-02T15:52:15.000Z",
  "title": "Exact Partition Function for the Potts Model with Next-Nearest Neighbor Couplings on Strips of the Square Lattice",
  "authors": [
    "Shu-Chiuan Chang",
    "Robert Shrock"
  ],
  "comment": "36 pages, latex, 22 figures",
  "journal": "Int. J. Mod. Phys. B15, 443-478 (2001)",
  "doi": "10.1142/S0217979201004630",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We present exact calculations of partition function $Z$ of the $q$-state Potts model with next-nearest-neighbor spin-spin couplings, both for the ferromagnetic and antiferromagnetic case, for arbitrary temperature, on $n$-vertex strip graphs of width $L_y=2$ of the square lattice with free, cyclic, and M\\\"obius longitudinal boundary conditions. The free energy is calculated exactly for the infinite-length limit of these strip graphs and the thermodynamics is discussed. Considering the full generalization to arbitrary complex $q$ and temperature, we determine the singular locus ${\\cal B}$ in the corresponding ${\\mathbb C}^2$ space, arising as the accumulation set of partition function zeros as $n \\to \\infty$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-08-02T15:52:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exact partition function",
      "next-nearest neighbor couplings",
      "square lattice",
      "partition function zeros",
      "state potts model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}