4.8 Article

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

Journal

PHYSICAL REVIEW LETTERS
Volume 102, Issue 6, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.102.066802

Keywords

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Funding

  1. U. S. National Science Foundation
  2. [DMR-0213706]
  3. Division Of Materials Research
  4. Direct For Mathematical & Physical Scien [819860] Funding Source: National Science Foundation

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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.

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