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

被引:70
作者
Goerbig, M. O. [1 ]
Regnault, N.
机构
[1] Univ Paris 11, Phys Solides Lab, CNRS, UMR 8502, F-91405 Orsay, France
[2] Ecole Normale Super, Dept Phys, Lab Pierre Aigrain, F-75005 Paris, France
来源
PHYSICAL REVIEW B | 2007年 / 75卷 / 24期
关键词
D O I
10.1103/PhysRevB.75.241405
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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 nu=2/3, to exact-diagonalization studies.
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