Near self-duality and spatial reorganization of anyon vortex lattices
Abstract
Contact attraction drives the self-generated vortex lattice of a trapped anyon gas towards self-duality, but integrated energies do not reveal where the remaining departure from it is located. We address this question in the almost-bosonic Chern--Simons--Schrödinger average-field model using a positive, gauge-invariant local defect that measures the covariant kinetic energy in excess of the magnetic bound. Numerically computed low-energy states at three statistical fluxes show that, as the stability line is approached, the integrated defect falls by about two orders of magnitude while the density modulation grows, so that magnetic saturation and density uniformity separate. The residual defect concentrates in a vortex-free outer shell that carries unscreened statistical flux. There it reduces to a smooth radial mismatch between the statistical flow and the density decay, which the interior lattice cannot cancel, whereas the covariant kinetic and amplitude-gradient energies show no comparable enrichment. The effect is robust to grid and box refinement, while its magnitude depends on flux and on the low-energy branch. Exact dilation and contact-response identities relate the squared energy to the density shape and provide consistency checks. Repulsion produces the opposite trend: a smoother density with a larger defect.
Related
- A nonabelian anyon violates Haag duality
- Vortex-core Majorana coupling to a chiral edge in a px+ipy superconductor: Nonmonotonic spectral reorganization and coherent fermion-parity dynamics
- Particle-Vortex Duality of Hydrodynamics
- Stability of vortex lattices in rotating flows
- School network reorganization under educational and spatial constraints using classical and quantum optimization
BibTeX
@misc{le2026near,
title = {{Near self-duality and spatial reorganization of anyon vortex lattices}},
author = {Bao-Duy Le},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.25412},
eprint = {2610.25412},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.25412},
}
RIS
TY - UNPB
TI - Near self-duality and spatial reorganization of anyon vortex lattices
AU - Bao-Duy Le
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.25412
UR - https://arxiv.org/abs/2610.25412
AB - Contact attraction drives the self-generated vortex lattice of a trapped anyon gas towards self-duality, but integrated energies do not reveal where the remaining departure from it is located. We address this question in the almost-bosonic Chern--Simons--Schrödinger average-field model using a positive, gauge-invariant local defect that measures the covariant kinetic energy in excess of the magnetic bound. Numerically computed low-energy states at three statistical fluxes show that, as the stability line is approached, the integrated defect falls by about two orders of magnitude while the density modulation grows, so that magnetic saturation and density uniformity separate. The residual defect concentrates in a vortex-free outer shell that carries unscreened statistical flux. There it reduces to a smooth radial mismatch between the statistical flow and the density decay, which the interior lattice cannot cancel, whereas the covariant kinetic and amplitude-gradient energies show no comparable enrichment. The effect is robust to grid and box refinement, while its magnitude depends on flux and on the low-energy branch. Exact dilation and contact-response identities relate the squared energy to the density shape and provide consistency checks. Repulsion produces the opposite trend: a smoother density with a larger defect.
ER -