Stability of skyrmion magnetization configuration in a circular magnetic nanodot with an uniaxial anisotropy perpendicular to the dot plane is calculated. It is shown that the skyrmion state can have magnetic energy lower than the vortex and perpendicular single domain state in a finite range of magnetic anisotropy fields at room temperature even in the case of absence of the Dzyaloshinskii-Moriya exchange interaction and external magnetic field.
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K. Y. Guslienko (2015) studied this question.
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