Quasi-Landau-level structure in the fractional quantum Hall effect

B. Rejaei
Phys. Rev. B 48, 18016 – Published 15 December 1993
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Abstract

It is argued that a short-range interaction induces a quasi-Landau-level structure in the filling-factor dependence of the ground-state energy of electrons in the lowest Landau level. The discussion is based on exact numerical results obtained from small-system calculations, and the adiabatic principle of Greiter and Wilczek. It is shown that by attaching a single negative flux quantum to each electron adiabatically, the noninteracting electron ground states occupying higher Landau levels are smoothly transformed into the ground states of a hard-core boson gas in the lowest Landau level. This implies a close correspondence between the noninteracting fermions and the hard-core bosons in the lowest Landau level. Numerical results suggest the possibility of a smooth transition from hard-core bosons to fermions with a short-range interaction, by continuously varying the interaction potential.

  • Received 9 September 1993

DOI:https://doi.org/10.1103/PhysRevB.48.18016

©1993 American Physical Society

Authors & Affiliations

B. Rejaei

  • Instituut-Lorentz, University of Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands

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Vol. 48, Iss. 24 — 15 December 1993

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