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Fractional quantum Hall effect in higher Landau levels

Lotfi Belkhir·J. K. Jain
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Abstract

We investigate, using finite size numerical calculations, the spin-polarized fractional quantum Hall effect (FQHE) in the first excited Landau level (LL). We find evidence for the existence of an incompressible state at $ν= \frac{7}{3} = 2+\frac{1}{3}$, but not at $ν= 2+\frac{2}{5}$. Surprisingly, the 7/3 state is found to be strongest at a finite thickness. The structure of the low- lying excited states is found to be markedly different from that in the lowest LL. This study also rules out FQHE at a large number of odd-denominator fractions in the lowest LL.

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Lotfi Belkhir, J. K. Jain. 1994-09-06. Fractional quantum Hall effect in higher Landau levels. https://doi.org/10.1016/0038-1098(95)00034-8

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