Physics of the Solid State
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To an analytical theory of higher-order magnetic skyrmions in nonuniform magnetic fields
Shustin M. S. 1, Dzebisashvili D. M.1, Stepanenko V. A.2
1Kirensky Institute of Physics, Federal Research Center KSC SB, Russian Academy of Sciences, Krasnoyarsk, Russia
2Siberian Federal University, Krasnoyarsk, Russia
Email: mshustin@yandex.ru, ddm@iph.krasn.ru, v-stepanen@mail.ru

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It is shown that axially symmetric inhomogeneous magnetic fields can lead to stabilization of higher-order magnetic skyrmions with topological charge |Q|>1 due to orbital effects. We developed the analytical theory on the energy, size, and domain wall width of the such skyrmions in a power-law inhomogeneous fields, with a parameters corresponding to strongly correlated electron systems. The results obtained may have applications in describing the formation of nontrivial magnetic structures in inhomogeneous fields of superconducting vortices in heterostructures superconductor - chiral magnet of the type [Ir1Fe0.5Co0.5Pt1]10/MgO/Nb. Keywords: magnetic skyrmions, nonuniform magnetic fields.
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