  Polar skyrmions have been widely investigated in oxide heterostructure
recently, due to their exotic properties and intriguing physical insights.
Meanwhile, so far, the external field-driven motion of the polar skyrmion, akin
to the magnetic counterpart, has yet to be discovered. Here, using phase-field
simulations, we demonstrate the dynamic motion of the polar skyrmions with
integrated external thermal, electrical, and mechanical stimuli. The external
heating reduces the spontaneous polarization hence the skyrmion motion barrier,
while the skyrmions shrink under the electric field, which could weaken the
lattice pinning and interactions between the skyrmions. The mechanical force
transforms the skyrmions into c-domain in the vicinity of the indenter center
under the electric field, providing the space and driving force needed for the
skyrmions to move. This study confirmed that the skyrmions are quasi-particles
that can move collectively, while also providing concrete guidance for the
further design of polar skyrmion-based electronic devices.
