Interaction of Skyrmions and Pearl Vortices in Superconductor-Chiral Ferromagnet Heterostructures*

We investigate a hybrid heterostructure with magnetic skyrmions (Sk) inside a chiral ferromagnet
interfaced by a thin superconducting lm via an insulating barrier. The barrier prevents the electronic
transport between the superconductor and the chiral magnet, such that the coupling can only
occur through the magnetic elds generated by these materials. We nd that Pearl vortices (PV)
are generated spontaneously in the superconductor within the skyrmion radius, while anti-Pearl
vortices (PV) compensating the magnetic moment of the Pearl vortices are generated outside of
the Sk radius, forming an energetically stable topological hybrid structure. Finally, we analyze the
interplay of skyrmion and vortex lattices and their mutual feedback on each other. In particular, we
argue that the size of the skyrmions will be greatly a ected by the presence of the vortices o ering
another prospect of manipulating the skyrmionic size by the proximity to a superconductor.