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 $\nu =p/(2np+1)$. 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.

9 pages, Revtex, 4 Postscript figures. Universality of the statistics parameters is stressed, 2 figs added

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Cited by in corpus (13)

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• Non-abelian quantum Hall states - exclusion statistics, K-matrices and duality
• Towards a quantum-mechanical model for multispecies exclusion statistics
• An ansatz for the exclusion statistics parameters in macroscopic physical systems described by fractional exclusion statistics
• Virial Expansions, Exclusion Statistics, and the Fractional Quantum Hall Effect
• Statistical mechanics and thermodynamics for multispecies exclusion statistics
• Exclusion statistics,operator algebras and Fock space representations
• Quantum liquids of particles with generalized statistics
• Form Factors for Quasi-particles in c=1 Conformal Field Theory
• Virial Coefficients of Multispecies Anyons
• Exclusion statistics for quantum Hall states in Tao-Thouless limit
• Exclusion Statistics of Quasiparticles in Condensed States of Composite Fermion Excitations
• Exclusion Statistics of Composite Fermions