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Phys. Rev. Lett. 99, 190401 (2007) [4 pages]

Correlators and Fractional Statistics in the Quantum Hall Bulk

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Smitha Vishveshwara1, Michael Stone1, and Diptiman Sen2
1Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801, USA
2Centre for High Energy Physics, Indian Institute of Science, Bangalore 560012, India

Received 6 May 2007; published 5 November 2007

We derive one-particle and two-particle correlators of anyons in the lowest Landau level. We show that the two-particle correlator exhibits signatures of fractional statistics which can distinguish anyons from their fermionic and bosonic counterparts. These signatures include the zeros of the two-particle correlator and its exclusion behavior. We find that the one-particle correlator in finite geometries carries valuable information relevant to experiments in which quasiparticles on the edge of a quantum Hall system tunnel through its bulk.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.190401
DOI:
10.1103/PhysRevLett.99.190401
PACS:
05.30.Pr, 73.43.−f