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

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

1994-06-28

arxiv.org/abs/cond-mat/9406110v2

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.51.9917

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.

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