Abstract:
Within the framework of the magnetic energy functional of the hybrid 2D structure superconductor-chiral magnet, which takes into account: exchange interaction, single-ion anisotropy, as well as orbital and Zeeman effects of the Pearl vortex scattering fields, the stabilization conditions of higher-order magnetic skyrmions with topological charges $|Q|$ = 3, 4 are studied. In contrast to the case of $|Q|$ = 2, studied earlier [JETP Letters $\mathbf{120}$, 539–546 (2024)], skyrmions with higher $|Q|$ do not necessarily form non-axial configurations of a bound pair with a Pearl vortex. Moreover, for skyrmions with $|Q|$ = 3, the competition of interactions in the continuum limit allows for different degrees of coaxiality, however, the coaxial configuration cannot be stabilized on a real discrete lattice due to the small size of the skyrmions. Skyrmions with $|Q|$ = 4 form stable coaxial pairs with a Pearl vortex. Keywords: magnetic skyrmions, Pearl vortex.