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

### Submission summary

 As Contributors: Ajit Coimbatore Balram Arxiv Link: https://arxiv.org/abs/2010.08965v3 (pdf) Date accepted: 2021-03-30 Date submitted: 2021-03-17 04:16 Submitted by: Coimbatore Balram, Ajit Submitted to: SciPost Physics Academic field: Physics Specialties: Condensed Matter Physics - Theory Condensed Matter Physics - Computational Approaches: Theoretical, Computational

### 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.

Published as SciPost Phys. 10, 083 (2021)

### List of changes

Included the overlap of the 3/8 Bonderson-Slingerland state with the second Landau level Coulomb ground state.
Fixed typos and updated references.