Abstract
The problem of the skyrmion stability in the magnetic film with perpendicular anisotropy covered with a superconducting layer is considered. The expression of the magnetic skyrmion energy is derived analytically within the London model for the superconductor. It is shown that skyrmion can be stabilized by the superconducting dot or antidot even in the absence of Dzyaloshinskii–Moriya interaction. The corresponding stability conditions are obtained numerically. The wide range of the material and geometrical parameters of the system is analyzed.
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