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

M. O. Goerbig (1) , N. Regnault (2)

1 LPS - Laboratoire de Physique des Solides
2 LPA - Laboratoire Pierre Aigrain

Inspired by the four-fold 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.

Domaines: Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]

M. O. Goerbig, N. Regnault. 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. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2007, 75, pp.241405(R). ⟨hal-00157026⟩