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APS » Journals » Phys. Rev. B » Volume 55 » Issue 11
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Phys. Rev. B 55, 6727–6730 (1997)

Exclusion statistics for fractional quantum Hall states on a sphere

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S. B. Isakov
Center for Høyere Studier, Drammensveien 78, Oslo, Norway
and Department of Physics, University of Oslo, P.O. Box 1048 Blindern, 0316 Oslo, Norway

G. S. Canright
Center for Høyere Studier, Drammensveien 78, Oslo, Norway
and Department of Physics, University of Tennessee, Knoxville, Tennessee 37996-1200

M. D. Johnson
Department of Physics, University of Central Florida, Orlando, Florida 32816-2385

Received 12 November 1996; published in the issue dated 15 March 1997

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.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.55.6727
DOI:
10.1103/PhysRevB.55.6727
PACS:
73.40.Hm, 05.30.-d, 73.20.Dx
 
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