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A non-Abelian parton state for the $ν=2+3/8$ fractional quantum Hall effect
by Ajit Coimbatore Balram
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Submission summary
| Authors (as registered SciPost users): | Ajit Coimbatore Balram |
| Submission information | |
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| Preprint 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 |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
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.
Published as SciPost Phys. 10, 083 (2021)