{
  "id": "1506.07392",
  "version": "v1",
  "published": "2015-06-24T14:40:57.000Z",
  "updated": "2015-06-24T14:40:57.000Z",
  "title": "Exact Partition Functions for the $q$-State Potts Model with a Generalized Magnetic Field on Lattice Strip Graphs",
  "authors": [
    "Shu-Chiuan Chang",
    "Robert Shrock"
  ],
  "comment": "23 pages",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We calculate the partition function of the $q$-state Potts model on arbitrary-length cyclic ladder graphs of the square and triangular lattices, with a generalized external magnetic field that favors or disfavors a subset of spin values $\\{1,...,s\\}$ with $s \\le q$. For the case of antiferromagnet spin-spin coupling, these provide exactly solved models that exhibit an onset of frustration and competing interactions in the context of a novel type of tensor-product $S_s \\otimes S_{q-s}$ global symmetry, where $S_s$ is the permutation group on $s$ objects.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-24T14:40:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "state potts model",
      "lattice strip graphs",
      "exact partition functions",
      "generalized magnetic field",
      "arbitrary-length cyclic ladder graphs"
    ],
    "publication": {
      "doi": "10.1007/s10955-015-1357-z",
      "journal": "Journal of Statistical Physics",
      "year": 2015,
      "month": "Nov",
      "volume": 161,
      "number": 4,
      "pages": 915
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JSP...161..915C"
    }
  }
}