Clustering properties and model wave functions for non-Abelian fractional quantum Hall quasielectrons.
We present model wave functions for quasielectron (as opposed to quasihole) excitations of the unitary Z_{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.
Bernevig
B Andrei
BA
Princeton Center for Theoretical Physics, Princeton, New Jersey 08544, USA.
Haldane
F D M
FD