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Separation of spin and charge in paired spin-singlet quantum Hall states

E. Ardonne·F. J. M. van Lankvelt·A. W. W. Ludwig·K. Schoutens
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Abstract

We propose a series of paired spin-singlet quantum Hall states, which exhibit a separation of spin and charge degrees of freedom. The fundamental excitations over these states, which have filling fraction ν=2/(2m+1) with m an odd integer, are spinons (spin-1/2 and charge zero) or fractional holons (charge +/- 1/(2m+1) and spin zero). The braid statistics of these excitations are non-abelian. The mechanism for the separation of spin and charge in these states is topological: spin and charge excitations are liberated by binding to a vortex in a p-wave pairing condensate. We briefly discuss related, abelian spin-singlet states and possible transitions.

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E. Ardonne, F. J. M. van Lankvelt, A. W. W. Ludwig, K. Schoutens. 2002-01-14. Separation of spin and charge in paired spin-singlet quantum Hall states. https://doi.org/10.1103/physrevb.65.041305

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