{
  "id": "0812.0381",
  "version": "v2",
  "published": "2008-12-01T22:30:09.000Z",
  "updated": "2009-06-17T16:17:16.000Z",
  "title": "Collective states of non-abelian quasiparticles in a magnetic field",
  "authors": [
    "Michael Levin",
    "Bertrand I. Halperin"
  ],
  "comment": "11 pages",
  "journal": "Phys. Rev. B 79, 205301 (2009)",
  "doi": "10.1103/PhysRevB.79.205301",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "Motivated by the physics of the Moore-Read \\nu = 1/2 state away from half-filling, we investigate collective states of non-abelian e/4 quasiparticles in a magnetic field. We consider two types of collective states: incompressible liquids and Wigner crystals. In the incompressible liquid case, we construct a natural series of states which can be thought of as a non-abelian generalization of the Laughlin states. These states are associated with a series of hierarchical states derived from the Moore-Read state - the simplest of which occur at filling fraction 8/17 and 7/13. Interestingly, we find that the hierarchical states are abelian even though their parent state is non-abelian. In the Wigner crystal case, we construct two candidate states. We find that they, too, are abelian - in agreement with previous analysis.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-17T16:17:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.43.Cd",
      "71.10.Pm"
    ],
    "keywords": [
      "collective states",
      "magnetic field",
      "non-abelian quasiparticles",
      "wigner crystal case",
      "hierarchical states"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2009,
      "month": "May",
      "volume": 79,
      "number": 20,
      "pages": 205301
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhRvB..79t5301L"
    }
  }
}