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PreprintCC BY 4.0arXiv

Type 1.5 vortex bags in single component Ginzburg-Landau models with higher order potentials

  • Martin Speight
  • Thomas Winyard
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Abstract

We demonstrate the existence of type 1.5 like superconductivity in a single component Ginzburg-Landau model with a higher order potential. The model exhibits two competing superconducting Meissner states (MS), each of which has its own pair of length scales (coherence length and penetration depth). The solutions take the form of bags that contain vortices of one vacuum inside the other. This gives rise to four different types of vortex interaction, where one set of length scales determines vortex interactions inside the bags and the other set between the bags. Hence, within the bag the vortices can repel or attract and the bags themselves can repel or attract depending on the hierarchy of four length scales. When vortices repel within the bag, solutions act similarly to those in type 1.5 multicomponent superconductors, but in a single component system.

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Cite

BibTeXRIS
BibTeX
@misc{speight2026type,
  title = {{Type 1.5 vortex bags in single component Ginzburg-Landau models with higher order potentials}},
  author = {Martin Speight and Thomas Winyard},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23761},
  eprint = {2610.23761},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23761},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Type 1.5 vortex bags in single component Ginzburg-Landau models with higher order potentials
AU  - Martin Speight
AU  - Thomas Winyard
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23761
UR  - https://arxiv.org/abs/2610.23761
AB  - We demonstrate the existence of type 1.5 like superconductivity in a single component Ginzburg-Landau model with a higher order potential. The model exhibits two competing superconducting Meissner states (MS), each of which has its own pair of length scales (coherence length and penetration depth). The solutions take the form of bags that contain vortices of one vacuum inside the other. This gives rise to four different types of vortex interaction, where one set of length scales determines vortex interactions inside the bags and the other set between the bags. Hence, within the bag the vortices can repel or attract and the bags themselves can repel or attract depending on the hierarchy of four length scales. When vortices repel within the bag, solutions act similarly to those in type 1.5 multicomponent superconductors, but in a single component system.
ER  -