Interactions of composite magnetic skyrmion-superconducting vortex pairs in ferromagnetic superconductors

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Hauptverfasser: Leask, Paul, Ross, Calum, Babaev, Egor
Format: Preprint
Veröffentlicht: 2026
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author Leask, Paul
Ross, Calum
Babaev, Egor
author_facet Leask, Paul
Ross, Calum
Babaev, Egor
contents We study composite topological excitations in ferromagnetic superconductors consisting of bound states of magnetic spin textures (skyrmions) and superconducting vortices. Using a Ginzburg--Landau framework with Zeeman coupling between the magnetization and superconducting magnetic field, we demonstrate that skyrmion-vortex pairs (SVPs) form energetically stable bound states. By analyzing their asymptotic interactions, we identify regimes in which SVPs exhibit both short-range repulsion and long-range attraction, leading to clustering phenomena. Our results provide a field-theoretical basis for understanding suggest pathways for controlling hybrid topological matter through long-range interactions.
format Preprint
id arxiv_https___arxiv_org_abs_2601_09396
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Interactions of composite magnetic skyrmion-superconducting vortex pairs in ferromagnetic superconductors
Leask, Paul
Ross, Calum
Babaev, Egor
Superconductivity
Mesoscale and Nanoscale Physics
We study composite topological excitations in ferromagnetic superconductors consisting of bound states of magnetic spin textures (skyrmions) and superconducting vortices. Using a Ginzburg--Landau framework with Zeeman coupling between the magnetization and superconducting magnetic field, we demonstrate that skyrmion-vortex pairs (SVPs) form energetically stable bound states. By analyzing their asymptotic interactions, we identify regimes in which SVPs exhibit both short-range repulsion and long-range attraction, leading to clustering phenomena. Our results provide a field-theoretical basis for understanding suggest pathways for controlling hybrid topological matter through long-range interactions.
title Interactions of composite magnetic skyrmion-superconducting vortex pairs in ferromagnetic superconductors
topic Superconductivity
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2601.09396