Composite Fermions and Landau Level Mixing in the Fractional Quantum Hall Effect

Details Composite Fermions and Landau Level Mixing in the Fractional Quantum Hall Effect Composite Fermions and Landau Level Mixing in the Fractional Quantum Hall Effect

1995-08-16

arxiv.org/abs/cond-mat/9508060v1

Physics

Condensed Matter

11 pages, RevTex, 2 figures in compressed tar .ps format

Scientific paper

10.1103/PhysRevB.52.R17032

The reduction of the energy gap due to Landau level mixing, characterized by the dimensionless parameter $\lambda = (e^2/\epsilon l_0)/\hbar\omega_c$, has been calculated by variational Monte Carlo for the fractional quantum Hall effect at filling fractions $\nu=1/3$ and 1/5 using a modified version of Jain's composite fermion wave functions. These wave functions exploit the Landau level mixing already present in composite fermion wave functions by introducing a partial Landau level projection operator. Results for the energy gaps are consistent with experimental observations in $n$-type GaAs, but we conclude that Landau level mixing alone cannot account for the significantly smaller energy gaps observed in $p$-type systems.

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