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Spin of fractional quantum Hall neutral modes and "missing states" on a sphere
by Dung Xuan Nguyen, Dam Thanh Son
Submission summary
| Authors (as registered SciPost users): | Dung Nguyen |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2503.06914v2 (pdf) |
| Date accepted: | Nov. 5, 2025 |
| Date submitted: | Sept. 19, 2025, 12:42 a.m. |
| Submitted by: | Dung Nguyen |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
A low-energy neutral quasiparticle in a fractional quantum Hall system appears in the latter's energy spectrum on a sphere as a series of many-body excited states labeled by the angular momentum $L$ and whose energy is a smooth function of $L$ in the limit of large sphere radius. We argue that the signature of a nonvanishing spin (intrinsic angular momentum) $s$ of the quasiparticle is the absence, in this series, of states with total angular momentum less than $s$.We reinterpret the missing of certain states, observed in an exact-diagonalization calculation of the spectrum of the $\nu=7/3$ FQH state in a wide quantum well as well as in many proposed wave functions for the excited states as a consequence of the spin-2 nature of the zero-momentum magnetoroton.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
We would like to submit the revised version of our manuscript. We thank the referees for their comments/suggestions that help us strengthen our paper. We addressed in detail the comments/suggestions by the referees. We hope that we have answered all the queries of the three referees and that our work is now appropriate for publication in Scipost Physics.
Thank you for your consideration.
Best regards, Dung Xuan Nguyen and Dam Thanh Son
List of changes
-We fixed the grammar errors pointed out by the referee 2
-We have added a sentence to the paper to explain why our theory can only be applied to neutral excitations.
-We add some sentences discussing the implementation of our results with Jain's composite fermion construction in the conclusion section.
-We add a paragraph in Appendix A and footnote 2 to clarify that the choice of the dispersion relation doesn’t change the main conclusion of our paper.
Published as SciPost Phys. 19, 131 (2025)
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