{
  "id": "1007.1550",
  "version": "v2",
  "published": "2010-07-09T10:14:58.000Z",
  "updated": "2010-11-04T14:21:29.000Z",
  "title": "Ground-state phase diagram for a system of interacting, $D(D_3)$ non-Abelian anyons",
  "authors": [
    "P. E. Finch",
    "H. Frahm",
    "J. Links"
  ],
  "comment": "21 pages, accepted to be published in Nucl. Phys. B",
  "journal": "Nucl. Phys. B, Vol. 844, no. 1, (2011), 129-145",
  "doi": "10.1016/j.nuclphysb.2010.11.003",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "We study an exactly solvable model of $D(D_3)$ non-Abelian anyons on a one-dimensional lattice with a free coupling parameter in the Hamiltonian. For certain values of the coupling parameter level crossings occur, which divide the ground-state phase diagram into four regions. We obtain explicit expressions for the ground-state energy in each phase, for both closed and open chain boundary conditions. For the closed chain case we show that chiral phases occur which are characterised by non-zero ground-state momentum.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-11-04T14:21:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground-state phase diagram",
      "non-abelian anyons",
      "open chain boundary conditions",
      "coupling parameter level crossings occur",
      "non-zero ground-state momentum"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nuclear Physics B",
      "year": 2011,
      "month": "Mar",
      "volume": 844,
      "number": 1,
      "pages": 129
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011NuPhB.844..129F"
    }
  }
}