Clustering Properties and Model Wave Functions for Non-Abelian Fractional Quantum Hall Quasielectrons

Journal Article · Fri Feb 13 04:00:00 EST 2009 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.102.066802· OSTI ID:21180208

Bernevig, B Andrei ^[1]; Haldane, F D. M. ^[2]

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1. Princeton Center for Theoretical Physics, Princeton, New Jersey 08544 (United States)
2. Department of Physics, Princeton University, Princeton, New Jersey 08544 (United States)

We present model wave functions for quasielectron (as opposed to quasihole) excitations of the unitary Z{sub k} parafermion sequence (Laughlin, Moore-Read, or Read-Rezayi) of fractional quantum Hall states. We uniquely define these states through two generalized clustering conditions: they vanish when either a cluster of k+2 electrons is put together or when two clusters of k+1 electrons are formed at different positions. For Abelian fractional quantum Hall states (k=1), our construction reproduces the Jain quasielectron wave function and elucidates the difference between the Jain and Laughlin quasielectrons.

• OSTI ID: 21180208
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 6 Vol. 102; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELECTRONS
EXCITATION
HALL EFFECT
QUANTUM MECHANICS
WAVE FUNCTIONS