A non-Abelian parton state for the $\nu =2+3/8$ fractional quantum Hall effect

Abstract

Fascinating structures have arisen from the study of the fractional quantum Hall effect (FQHE) at the even denominator fraction of $5/2$. We consider the FQHE at another even denominator fraction, namely $\nu =2+3/8$, where a well-developed and quantized Hall plateau has been observed in experiments. We examine the non-Abelian state described by the "$\bar{3}{\bar{2}}^2{1}^4$" parton wave function and numerically demonstrate it to be a feasible candidate for the ground state at $\nu =2+3/8$. We make predictions for experimentally measurable properties of the $\bar{3}{\bar{2}}^2{1}^4$ state that can reveal its underlying topological structure.

arXiv comment23 pages, 9 figures, corrected N=10 overlaps for 2/7

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• Bardeen-Cooper-Schrieffer pairing of composite fermions
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• Parametrization and thermodynamic scaling of pair correlation functions for the Fractional Quantum Hall Effect
• Unlocking new regimes in fractional quantum Hall effect with quaternions
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