{
  "id": "1108.2276",
  "version": "v1",
  "published": "2011-08-10T20:00:04.000Z",
  "updated": "2011-08-10T20:00:04.000Z",
  "title": "Dualities and the phase diagram of the $p$-clock model",
  "authors": [
    "G. Ortiz",
    "E. Cobanera",
    "Z. Nussinov"
  ],
  "comment": "48 pages, 5 figures. Submitted to Nuclear Physics B",
  "journal": "Nuc. Phys. B 854, 780 (2012)",
  "doi": "10.1016/j.nuclphysb.2011.09.012",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "A new \"bond-algebraic\" approach to duality transformations provides a very powerful technique to analyze elementary excitations in the classical two-dimensional XY and $p$-clock models. By combining duality and Peierls arguments, we establish the existence of non-Abelian symmetries, the phase structure, and transitions of these models, unveil the nature of their topological excitations, and explicitly show that a continuous U(1) symmetry emerges when $p \\geq 5$. This latter symmetry is associated with the appearance of discrete vortices and Berezinskii-Kosterlitz-Thouless-type transitions. We derive a correlation inequality to prove that the intermediate phase, appearing for $p\\geq 5$, is critical (massless) with decaying power-law correlations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-10T20:00:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "clock model",
      "phase diagram",
      "analyze elementary excitations",
      "duality transformations",
      "correlation inequality"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nuclear Physics B",
      "year": 2012,
      "month": "Jan",
      "volume": 854,
      "number": 3,
      "pages": 780
    },
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012NuPhB.854..780O"
    }
  }
}