{
  "id": "0901.4965",
  "version": "v4",
  "published": "2009-01-30T19:47:42.000Z",
  "updated": "2012-01-20T17:22:18.000Z",
  "title": "Competing Topological Orders in the nu=12/5 Quantum Hall State",
  "authors": [
    "Parsa Bonderson",
    "Adrian E. Feiguin",
    "Gunnar Moller",
    "J. K. Slingerland"
  ],
  "comment": "5 pages, 2 figures; v2: minor corrections; v3: new title, revised exposition, inclusion of neutral gap and finite well-width results; v4: minor corrections",
  "journal": "Phys. Rev. Lett. 108, 036806 (2012)",
  "doi": "10.1103/PhysRevLett.108.036806",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We provide numerical evidence that a p_{x}-i p_{y} paired Bonderson--Slingerland (BS) non-Abelian hierarchy state is a strong candidate for the observed nu=12/5 quantum Hall plateau. We confirm the existence of a gapped incompressible nu = 12/5 quantum Hall state with shift S=2 on the sphere, matching that of the BS state. The exact ground state of the Coulomb interaction at S=2 is shown to have large overlap with the BS trial wave function. Larger overlaps are obtained with BS-type wave functions that are hierarchical descendants of general p_{x}-i p_{y} weakly-paired states at nu=5/2. We perform a finite size scaling analysis of the ground state energies for nu=12/5 states at shifts corresponding to the BS (S=2) and 3-clustered Read-Rezayi (S=-2) universality classes. This analysis reveals very tight competition between these two non-Abelian topological orders.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-01-20T17:22:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.43.-f",
      "03.65.Vf",
      "05.30.Pr",
      "71.10.Pm"
    ],
    "keywords": [
      "quantum hall state",
      "competing topological orders",
      "bs trial wave function",
      "ground state energies",
      "quantum hall plateau"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2012,
      "month": "Jan",
      "volume": 108,
      "number": 3,
      "pages": "036806"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvL.108c6806B"
    }
  }
}