Bound States of High-Order Magnetic Skyrmions and a Superconducting Pearl Vortex

It has been shown that stray fields of a superconducting Pearl vortex can form bound states with high-order magnetic skyrmions due to orbital effects of an inhomogeneous magnetic field. By analogy with recent results for skyrmions with the topological charge |Q| = 1 [E. S. Andriyakhina, S. Apostoloff, and I. S. Burmistrov, JETP Lett. 116, 825 (2022)], the centers of high-order magnetic skyrmions in such bound states can be shifted with respect to the center of the superconducting vortex. It has been shown that ponderomotive forces acting on the simplest high-order magnetic skyrmions with the topological charge |Q| = 2 tend to form noncoaxial bound states.