Jack 3/5 State from Two-Body Interaction

• Authors: B. Kuśmierz , Y. Wu , A. Wójs
• Languages of publication: EN

Abstracts

EN

We investigate the Read-Rezayi parafermion state of correlated electrons at the fractional Landau level filling ν=3/5. It is a Jack polynomial generated by contact four-body repulsion. We show by exact diagonalization that it is also emerges from a suitable short-range two-body interaction. We find that it closely matches Coulomb ground state in the second Landau level of non-relativistic fermions, and thus possibly describes the ν=13/5 (and, by conjugation, ν=12/5) fractional quantum Hall effect in GaAs.

Keywords

EN

73.43.-f

Discipline

• 73.43.-f: Quantum Hall effects

• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 129
• Issue: 1a
• Pages: A-73-A-74

Dates

published

2016-01

Contributors

author

B. Kuśmierz

• Department of Theoretical Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

author

Y. Wu

• Max-Planck-Institute of Quantum Optics, Hans-Kopfermann-Str. 1, 85748 Garching, Germany

author

A. Wójs

• Department of Theoretical Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

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Identifiers

DOI

10.12693/APhysPolA.129.A-73