Repulsion of a Néel-type skyrmion from a pearl vortex in thin ferromagnet–superconductor heterostructures

In this paper we study repulsion of a Néel-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 in the dimensionless strength of the vortex magnetic field. This manifests itself in complicated evolution of the free energy with increase in the vortex magnetic field and reduction of the equilibrium distance between the centers of Néel-type skyrmion and Pearl vortex.