Type I-II/II-I vortices from dimension-six self-interaction
Abstract
We show that adding a dimension-six self-interaction to the Abelian-Higgs or Ginzburg Landau model results in a remarkable and rich structure of multi-vortex solutions. Besides the standard type I (attractive) and type II (repulsive) regimes, separated by the Bogomol'nyi-Prasad-Sommerfeld limit (BPS), we identify two new possibilities: type I-II vortices, which attract at short distances and repel at long distances; and type II-I vortices, with the opposite behaviour. Specifically, within the type II-I regime, multi-vortex solutions form chunks of the Abrikosov lattice or clusters. Conversely, in the I-II regime, axially symmetric multi-vortices are stable; nevertheless, depending on the model parameters and topological charge (winding number), they can be either the ground state or not.
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BibTeX
@misc{alonsoizquierdo2026type,
title = {{Type I-II/II-I vortices from dimension-six self-interaction}},
author = {A. Alonso-Izquierdo and A. González-Parra and K. Slawinska and A. Wereszczynski and T. Winyard},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17437},
eprint = {2610.17437},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17437},
}
RIS
TY - UNPB
TI - Type I-II/II-I vortices from dimension-six self-interaction
AU - A. Alonso-Izquierdo
AU - A. González-Parra
AU - K. Slawinska
AU - A. Wereszczynski
AU - T. Winyard
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.17437
UR - https://arxiv.org/abs/2610.17437
AB - We show that adding a dimension-six self-interaction to the Abelian-Higgs or Ginzburg Landau model results in a remarkable and rich structure of multi-vortex solutions. Besides the standard type I (attractive) and type II (repulsive) regimes, separated by the Bogomol'nyi-Prasad-Sommerfeld limit (BPS), we identify two new possibilities: type I-II vortices, which attract at short distances and repel at long distances; and type II-I vortices, with the opposite behaviour. Specifically, within the type II-I regime, multi-vortex solutions form chunks of the Abrikosov lattice or clusters. Conversely, in the I-II regime, axially symmetric multi-vortices are stable; nevertheless, depending on the model parameters and topological charge (winding number), they can be either the ground state or not.
ER -