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Partially spin polarized quantum Hall effect in the filling factor range 1/3 < nu < 2/5

Chia-Chen Chang·Sudhansu S. Mandal·Jainendra K. Jain
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Abstract

The residual interaction between composite fermions (CFs) can express itself through higher order fractional Hall effect. With the help of diagonalization in a truncated composite fermion basis of low-energy many-body states, we predict that quantum Hall effect with partial spin polarization is possible at several fractions between $ν=1/3$ and $ν=2/5$. The estimated excitation gaps are approximately two orders of magnitude smaller than the gap at $ν=1/3$, confirming that the inter-CF interaction is extremely weak in higher CF levels.

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Chia-Chen Chang, Sudhansu S. Mandal, Jainendra K. Jain. 2003-03-25. Partially spin polarized quantum Hall effect in the filling factor range 1/3 < nu < 2/5. https://doi.org/10.1103/physrevb.67.121305

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