{
  "id": "cond-mat/0602178",
  "version": "v1",
  "published": "2006-02-07T15:39:21.000Z",
  "updated": "2006-02-07T15:39:21.000Z",
  "title": "Partition Function Zeros of a Restricted Potts Model on Self-Dual Strips of the Square Lattice",
  "authors": [
    "Shu-Chiuan Chang",
    "Robert Shrock"
  ],
  "comment": "10 pages, 6 figures",
  "journal": "Int. J. Mod. Phys. B21, 1755-1773 (2007)",
  "doi": "10.1142/S021797920703703X",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We calculate the partition function $Z(G,Q,v)$ of the $Q$-state Potts model exactly for self-dual cyclic square-lattice strips of various widths $L_y$ and arbitrarily great lengths $L_x$, with $Q$ and $v$ restricted to satisfy the relation $Q=v^2$. From these calculations, in the limit $L_x \\to \\infty$, we determine the continuous accumulation locus ${\\cal B}$ of the partition function zeros in the $v$ and $Q$ planes. A number of interesting features of this locus are discussed and a conjecture is given for properties applicable for arbitrarily great width. Relations with the loci ${\\cal B}$ for general $Q$ and $v$ are analyzed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-07T15:39:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partition function zeros",
      "restricted potts model",
      "square lattice",
      "self-dual strips",
      "self-dual cyclic square-lattice strips"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}