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