{
  "id": "0710.1687",
  "version": "v1",
  "published": "2007-10-09T05:45:23.000Z",
  "updated": "2007-10-09T05:45:23.000Z",
  "title": "Statistically interacting quasiparticles in Ising chains",
  "authors": [
    "Ping Lu",
    "Jared Vanasse",
    "Christopher Piecuch",
    "Michael Karbach",
    "Gerhard Muller"
  ],
  "comment": "18 pages and 4 figures",
  "doi": "10.1088/1751-8113/41/26/265003",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The exclusion statistics of two complementary sets of quasiparticles, generated from opposite ends of the spectrum, are identified for Ising chains with spin s=1/2,1. In the s=1/2 case the two sets are antiferromagnetic domain walls (solitons) and ferromagnetic domains (strings). In the s=1 case they are soliton pairs and nested strings, respectively. The Ising model is equivalent to a system of two species of solitons for s=1/2 and to a system of six species of soliton pairs for s=1. Solitons exist on single bonds but soliton pairs may be spread across many bonds. The thermodynamics of a system of domains spanning up to $M$ lattice sites is amenable to exact analysis and shown to become equivalent, in the limit M -> infinity, to the thermodynamics of the s=1/2 Ising chain. A relation is presented between the solitons in the Ising limit and the spinons in the XX limit of the s=1/2 XXZ chain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-09T05:45:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ising chain",
      "statistically interacting quasiparticles",
      "soliton pairs",
      "antiferromagnetic domain walls",
      "opposite ends"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2008,
      "month": "Jul",
      "volume": 41,
      "number": 26,
      "pages": 265003
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JPhA...41z5003L"
    }
  }
}