{
  "id": "cond-mat/0602440",
  "version": "v1",
  "published": "2006-02-18T15:39:54.000Z",
  "updated": "2006-02-18T15:39:54.000Z",
  "title": "Partition Function Zeros of a Restricted Potts Model on Lattice Strips and Effects of Boundary Conditions",
  "authors": [
    "Shu-Chiuan Chang",
    "Robert Shrock"
  ],
  "comment": "12 pages, 12 figures",
  "journal": "J. Phys. A: Math. Gen. 39, 10277-10295 (2006)",
  "doi": "10.1088/0305-4470/39/33/002",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We calculate the partition function $Z(G,Q,v)$ of the $Q$-state Potts model exactly for strips of the square and triangular lattices of various widths $L_y$ and arbitrarily great lengths $L_x$, with a variety of boundary conditions, and with $Q$ and $v$ restricted to satisfy conditions corresponding to the ferromagnetic phase transition on the associated two-dimensional lattices. From these calculations, in the limit $L_x \\to \\infty$, we determine the continuous accumulation loci ${\\cal B}$ of the partition function zeros in the $v$ and $Q$ planes. Strips of the honeycomb lattice are also considered. We discuss some general features of these loci.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-02-18T15:39:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partition function zeros",
      "restricted potts model",
      "boundary conditions",
      "lattice strips",
      "state potts model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}