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Phys. Rev. B 75, 241405(R) (2007) [4 pages]

Analysis of a SU(4) generalization of Halperin’s wave function as an approach towards a SU(4) fractional quantum Hall effect in graphene sheets

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M. O. Goerbig1 and N. Regnault2
1Laboratoire de Physique des Solides, Univ. Paris-Sud, CNRS UMR 8502, F-91405 Orsay, France
2Laboratoire Pierre Aigrain, Département de Physique, Ecole Normale Supérieure, 24 rue Lhomond, F-75005 Paris, France

Received 1 May 2007; published 12 June 2007

Inspired by the fourfold spin-valley symmetry of relativistic electrons in graphene, we investigate a possible SU(4) fractional quantum Hall effect, which may also arise in bilayer semiconductor quantum Hall systems with small Zeeman gap. SU(4) generalizations of Halperin’s wave functions Helv. Phys. Acta 56 75 (1983), which may break differently the original SU(4) symmetry, are studied analytically and compared, at ν=2∕3, to exact-diagonalization studies.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.75.241405
DOI:
10.1103/PhysRevB.75.241405
PACS:
73.43.−f, 71.10.−w, 81.05.Uw