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  • Open Access

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

Paul Leask1,*, Calum Ross2,3, and Egor Babaev1,4

  • *Contact author: palea@kth.se
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Phys. Rev. B 114, 014509 – Published 22 July, 2026

DOI: https://doi.org/10.1103/crwr-b57q

Abstract

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 the 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 suggested pathways for controlling hybrid topological matter through long-range interactions.

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Phys. Rev. B 114, 014509– Published 22 July, 2026
  • Received 4 February 2026
  • Revised 10 June 2026
  • Accepted 7 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by Bibsam.

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