Clustering properties and model wave functions for non-Abelian fractional quantum hall quasielectrons

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Abstract

We present model wave functions for quasielectron (as opposed to quasihole) excitations of the unitary Zk 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.

Original languageEnglish (US)
Article number066802
JournalPhysical review letters
Volume102
Issue number6
DOIs
StatePublished - Feb 10 2009

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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