{
  "id": "0902.3233",
  "version": "v1",
  "published": "2009-02-18T20:11:26.000Z",
  "updated": "2009-02-18T20:11:26.000Z",
  "title": "Theoretical expectations for a fractional quantum Hall effect in graphene",
  "authors": [
    "Z. Papić",
    "M. O. Goerbig",
    "N. Regnault"
  ],
  "comment": "6 pages, 1 figure; review article for Solid State Comm. (Graphene Week 2008)",
  "journal": "Solid State Comm. 149, 1056 (2009)",
  "doi": "10.1016/j.ssc.2009.02.050",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "Due to its fourfold spin-valley degeneracy, graphene in a strong magnetic field may be viewed as a four-component quantum Hall system. We investigate the consequences of this particular structure on a possible, yet unobserved, fractional quantum Hall effect in graphene within a trial-wavefunction approach and exact-diagonalisation calculations. This trial-wavefunction approach generalises an original idea by Halperin to account for the SU(2) spin in semiconductor heterostructures with a relatively weak Zeeman effect. Whereas the four-component structure at a filling factor nu=1/3 adds simply a SU(4)-ferromagnetic spinor ordering to the otherwise unaltered Laughlin state, the system favours a valley-unpolarised state at nu=2/5 and a completely unpolarised state at nu=4/9. Due to the similar behaviour of the interaction potential in the zero-energy graphene Landau level and the first excited one, we expect these states to be present in both levels.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-02-18T20:11:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional quantum hall effect",
      "theoretical expectations",
      "four-component quantum hall system",
      "zero-energy graphene landau level",
      "trial-wavefunction approach generalises"
    ],
    "tags": [
      "review article",
      "journal article"
    ],
    "publication": {
      "journal": "Solid State Communications",
      "year": 2009,
      "month": "Jul",
      "volume": 149,
      "number": 27,
      "pages": 1056
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009SSCom.149.1056P"
    }
  }
}