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Magnetic Thomas-Fermi theory for 2D abelian anyons
by Antoine Levitt, Douglas Lundholm, Nicolas Rougerie
Submission summary
| Authors (as registered SciPost users): | Nicolas Rougerie |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2504.13481v2 (pdf) |
| Date accepted: | Feb. 3, 2026 |
| Date submitted: | Jan. 19, 2026, 9:27 a.m. |
| Submitted by: | Nicolas Rougerie |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
Two-dimensional abelian anyons are, in the magnetic gauge picture, represented as fermions coupled to magnetic flux tubes. For the ground state of such a system in a trapping potential, we theoretically and numerically investigate a Hartree approximate model, obtained by restricting trial states to Slater determinants and introducing a self-consistent magnetic field, locally proportional to matter density. This leads to a fermionic variant of the Chern-Simons-Schr{ö}dinger system. We find that for dense systems, a semi-classical approximation yields qualitatively good results. Namely, we derive a density functional theory of magnetic Thomas-Fermi type, which correctly captures the trends of our numerical results. In particular, we explore the subtle dependence of the ground state with respect to the fraction of magnetic flux units attached to particles.
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
List of changes
Current status:
Editorial decision:
For Journal SciPost Physics Core: Publish
(status: Editorial decision fixed and (if required) accepted by authors)
Reports on this Submission
Report
The bottom line, however, is that I still don't see this work as being of particularly broad interest. The work seems sound and interesting to some, but it just doesn't strike me as Scipost Physics level --- although it is fine for Scipost core.
Although I did not read the other referee's remarks until just now, my opinion is reinforced by their similar opinion.
Recommendation
Accept in alternative Journal (see Report)