{
  "id": "0803.2882",
  "version": "v1",
  "published": "2008-03-19T20:37:11.000Z",
  "updated": "2008-03-19T20:37:11.000Z",
  "title": "Properties of Non-Abelian Fractional Quantum Hall States at Filling $ν=\\frac{k}{r}$",
  "authors": [
    "B. Andrei Bernevig",
    "F. D. M. Haldane"
  ],
  "comment": "2 figures",
  "journal": "Phys. Rev. Lett. 101, 246806 (2008)",
  "doi": "10.1103/PhysRevLett.101.246806",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We compute the physical properties of non-Abelian Fractional Quantum Hall (FQH) states described by Jack polynomials at general filling $\\nu=\\frac{k}{r}$. For $r=2$, these states are identical to the $Z_k$ Read-Rezayi parafermions, whereas for $r>2$ they represent new FQH states. The $r=k+1$ states, multiplied by a Vandermonde determinant, are a non-Abelian alternative construction of states at fermionic filling $2/5, 3/7, 4/9...$. We obtain the thermal Hall coefficient, the quantum dimensions, the electron scaling exponent, and show that the non-Abelian quasihole has a well-defined propagator falling off with the distance. The clustering properties of the Jack polynomials, provide a strong indication that the states with $r>2$ can be obtained as correlators of fields of \\emph{non-unitary} conformal field theories, but the CFT-FQH connection fails when invoked to compute physical properties such as thermal Hall coefficient or, more importantly, the quasihole propagator. The quasihole wavefuntion, when written as a coherent state representation of Jack polynomials, has an identical structure for \\emph{all} non-Abelian states at filling $\\nu=\\frac{k}{r}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-19T20:37:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.43.-f",
      "11.25.Hf"
    ],
    "keywords": [
      "non-abelian fractional quantum hall states",
      "properties",
      "thermal hall coefficient",
      "jack polynomials",
      "coherent state representation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "Dec",
      "volume": 101,
      "number": 24,
      "pages": 246806
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvL.101x6806B"
    }
  }
}