Jack 3/5 State from Two-Body Interaction
B. Kuśmierz a, Y.-H. Wu b and A. Wójs a
aDepartment of Theoretical Physics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
bMax-Planck-Institute of Quantum Optics, Hans-Kopfermann-Str. 1, 85748 Garching, Germany
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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.

DOI: 10.12693/APhysPolA.129.A-73
PACS numbers: 73.43.-f