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

Tőke, Csaba and Jain, J. K. (2012) Multi-component fractional quantum Hall states in graphene: SU(4) versus SU(2). Journal of Physics: Condensed Matter, 24 (23). ISSN 0953-8984

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Abstract

Because of the spin and Dirac-valley degrees of freedom, graphene allows the observation of one-, two- or four-component fractional quantum Hall effects in different parameter regions. We address the stability of various states in the SU(2) and SU(4) limits. 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 found to be relevant for the low-energy physics. These results are discussed in light of experiments.

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