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Exclusion statistics for fractional quantum Hall states on a sphere

S. B. Isakov·G. S. Canright·M. D. Johnson
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Abstract

We discuss exclusion statistics parameters for quasiholes and quasielectrons excited above the fractional quantum Hall states near $ν=p/(2np+1)$. We derive the diagonal statistics parameters from the (``unprojected'') composite fermion (CF) picture. We propose values for the off-diagonal (mutual) statistics parameters as a simple modification of those obtained from the unprojected CF picture, by analyzing finite system numerical spectra in the spherical geometry.

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S. B. Isakov, G. S. Canright, M. D. Johnson. 1996-11-29. Exclusion statistics for fractional quantum Hall states on a sphere. https://doi.org/10.1103/physrevb.55.6727

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