Composite Fermions and the Energy Gap in the Fractional Quantum Hall Effect

Abstract

The energy gaps for the fractional quantum Hall effect at filling fractions 1/3, 1/5, and 1/7 have been calculated by variational Monte Carlo using Jain's composite fermion wave functions before and after projection onto the lowest Landau level. Before projection there is a contribution to the energy gaps from the first excited Landau level. After projection this contribution vanishes, the quasielectron charge becomes more localized, and the Coulomb energy contribution increases. The projected gaps agree well with previous calculations, lending support to the composite fermion theory.

12 pages, Revtex 3.0, 2 compressed and uuencoded postscript figures appended, NHMFL-94-0627

References in corpus (1)

• Band Structure of the Fractional Quantum Hall Effect

Cited by in corpus (10)

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• Effective Mass of the Four Flux Composite Fermion at $\nu =1/4$
• XY* transition and extraordinary boundary criticality from fractional exciton condensation in quantum Hall bilayer
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• Monte Carlo Comparison of Quasielectron Wave Functions
• Electronic correlation in the quantum Hall regime