We explored the topological magnetic textures of vortices, skyrmions, and skyrmioniums in magnetic hemispherical shells by varying surface-normal uniaxial magnetic anisotropy constant (Ku), Dzyaloshinskii-Moriya interaction (DMI) constant (Dint), and ...
We explored the topological magnetic textures of vortices, skyrmions, and skyrmioniums in magnetic hemispherical shells by varying surface-normal uniaxial magnetic anisotropy constant (Ku), Dzyaloshinskii-Moriya interaction (DMI) constant (Dint), and the shell diameter 2R. For given values of 2R, the combination of Ku and Dint plays a crucial role in the stabilization of those different spin textures. With decreasing 2R, the geometrical confinement of hemispherical shells more significantly affects the stabilization of skyrmions owing to curvature-induced DM-like interaction. This effect is contrastingly dependent on the sign of Dint: skyrmion formation is more favorable for positive Dint values, whereas it is less favorable for negative ones. A quite promising feature is that skyrmions can be stabilized even in the absence of intrinsic DMI for 2R < 25 nm. We also explored characteristic dynamic properties of skyrmions excited by in-plane and out-of plane oscillating magnetic fields. Similar to the fundamental dynamic modes found in planar dots, in-plane gyration and azimuthal spin-wave modes as well as out-of-plane breathing modes were found, but additional higher-frequency hybrid modes also appeared due to coupling between radially quantized and azimuthal spin-wave modes. Finally, we found a switching behavior of skyrmion polarity through a transient skyrmionium state using very-low-strength AC magnetic fields. This work provides further physical insight into the static and dynamic properties of skyrmions in curved-geometry nanodots and suggests potential applications to low-power consumption and ultra-high-density information-storage devices.