Exclusion statistics for fractional quantum Hall states on a sphere

TL;DR

This paper investigates exclusion statistics parameters for quasiparticles in fractional quantum Hall states on a sphere, deriving diagonal parameters from the composite fermion model and proposing mutual parameters based on numerical spectra.

Contribution

It provides a derivation of exclusion statistics parameters for quasiparticles in fractional quantum Hall states, combining analytical and numerical approaches.

Findings

Diagonal statistics parameters derived from composite fermion picture.

Proposed mutual statistics parameters based on finite system spectra.

Application to states near filling factor ν=p/(2np+1).

Abstract

We discuss exclusion statistics parameters for quasiholes and quasielectrons excited above the fractional quantum Hall states near $\nu=p/(2np+1)$. 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.