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arXiv · 1807.02997

Fractional Quantum Hall Effect at $\nu=2+6/13$: The Parton Paradigm for the Second Landau Level

Ajit C. Balram·Sutirtha Mukherjee·Kwon Park·Maissam Barkeshli·Mark S. Rudner·J. K. Jain
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Abstract

The unexpected appearance of a fractional quantum Hall effect (FQHE) plateau at $\nu=2+6/13$~ [Kumar \emph{et al.}, Phys. Rev. Lett. {\bf 105}, 246808 (2010)] offers a clue into the physical mechanism of the FQHE in the second Landau level (SLL). Here we propose a "$\bar{3}\bar{2}111$" parton wave function, which is topologically distinct from the 6/13 state in the lowest Landau level. We demonstrate the $\bar{3}\bar{2}111$ state to be a good candidate for the $\nu=2+6/13$ FQHE, and make predictions for experimentally measurable properties that can reveal the nature of this state. Furthermore, we propose that the "$\bar{n}\bar{2}111$" family of parton states naturally describes many observed SLL FQHE plateaus.

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Ajit C. Balram, Sutirtha Mukherjee, Kwon Park, Maissam Barkeshli, Mark S. Rudner, J. K. Jain. 2018-07-09. Fractional Quantum Hall Effect at $\nu=2+6/13$: The Parton Paradigm for the Second Landau Level. https://doi.org/10.1103/physrevlett.121.186601

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