Multi-component fractional quantum Hall states in graphene: SU(4) versus SU(2)

Details Multi-component fractional quantum Hall states in graphene: SU(4) versus SU(2) Multi-component fractional quantum Hall states in graphene: SU(4) versus SU(2)

2011-05-26

arxiv.org/abs/1105.5270v2

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 4 figures

Scientific paper

Because of the spin and Dirac-valley degrees of freedom, graphene allows the observation of one-, two- or four-component fractional quantum Hall effect in different parameter regions. We argue that some, though not all, apparently puzzling features observed in recent experiments are consistent with a two-component fractional quantum Hall effect, with the electron spin frozen but the Dirac-valley symmetry approximately intact. In the SU(4) limit, we predict that new low-energy Goldstone modes determine the stability of the fractional quantum Hall states at 2/5, 3/7 etc.; SU(4) skyrmions are not relevant for the low-energy physics.

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