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arXiv · 0902.3233

Theoretical expectations for a fractional quantum Hall effect in graphene

Z. Papić·M. O. Goerbig·N. Regnault
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Abstract

Due to its fourfold spin-valley degeneracy, graphene in a strong magnetic field may be viewed as a four-component quantum Hall system. We investigate the consequences of this particular structure on a possible, yet unobserved, fractional quantum Hall effect in graphene within a trial-wavefunction approach and exact-diagonalisation calculations. This trial-wavefunction approach generalises an original idea by Halperin to account for the SU(2) spin in semiconductor heterostructures with a relatively weak Zeeman effect. Whereas the four-component structure at a filling factor nu=1/3 adds simply a SU(4)-ferromagnetic spinor ordering to the otherwise unaltered Laughlin state, the system favours a valley-unpolarised state at nu=2/5 and a completely unpolarised state at nu=4/9. Due to the similar behaviour of the interaction potential in the zero-energy graphene Landau level and the first excited one, we expect these states to be present in both levels.

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Z. Papić, M. O. Goerbig, N. Regnault. 2009-02-18. Theoretical expectations for a fractional quantum Hall effect in graphene. https://doi.org/10.1016/j.ssc.2009.02.050

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