Repulsion of a N\'eel-type skyrmion from a Pearl vortex in thin ferromagnet-superconductor heterostructures

TL;DR

This study investigates how the magnetic field of a Pearl vortex influences the position and energy of a Néel-type skyrmion in a ferromagnetic film, revealing that increased vortex strength reduces repulsion and alters equilibrium configurations.

Contribution

The paper presents a non-perturbative analysis of vortex-skyrmion interactions, showing how vortex magnetic field strength modulates their repulsion and equilibrium distance.

Findings

Repulsion between skyrmion and vortex decreases with increasing vortex magnetic field.

The free energy landscape evolves complexly as vortex strength increases.

Equilibrium distance between skyrmion and vortex reduces with stronger vortex magnetic field.

Abstract

In this paper we study repulsion of a N\'eel-type skyrmion in a chiral ferromagnetic film from a superconducting Pearl vortex due to the stray fields. Taking into account an effect of the vortex magnetic field on the skyrmion non-perturbatively, we find that the repulsion between them is suppressed with increase of the dimensionless strength of the vortex magnetic field. This manifests itself in complicated evolution of the free energy with increase of the vortex magnetic field and reduction of the equilibrium distance between the centers of N\'eel-type skyrmion and Pearl vortex.