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CONDENSED MATTER

Bound states of high-order magnetic skyrmions and a superconducting pearl vortex

A. D. Fedoseev^a, M. S. Shustin^ab, D. M. Dzebisashvili<sup>a

a</sup> Kirensky Institute of Physics, Federal Research Center KSC, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk, 660036 Russia
^b Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, Moscow region, 142432 Russia

Abstract: 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.

Received: 06.08.2024
Revised: 06.09.2024
Accepted: 06.09.2024

DOI: 10.31857/S0370274X24100097

 English version: Journal of Experimental and Theoretical Physics Letters, 2024, 120:7, 517–524