Exclusion statistics for fractional quantum Hall states on a sphere

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.