Abstract:
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 [Ir$_1$Fe$_{0.5}$Co$_{0.5}$Pt$_1$]$^{10}$/MgO/Nb.
Keywords:magnetic skyrmions, nonuniform magnetic fields.