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Magnetic skyrmions are nano-sized topologically non-trivial spin texturesthat can be moved by external stimuli such as spin currents and internalstimuli such as spatial gradients of a material parameter. Since the totalenergy of a skyrmion depends linearly on most of these parameters, like theperpendicular magnetic anisotropy, the exchange constant, or theDzyaloshinskii-Moriya interaction strength, a skyrmion will move uniformly in aweak parameter gradient. In this paper, we show that the linear behaviorchanges once the gradients are strong enough so that the magnetic profile of askyrmion is significantly altered throughout the propagation. In that case, theskyrmion experiences acceleration and moves along a curved trajectory.Furthermore, we show that when spin-orbit torques and material parametergradients trigger a skyrmion motion, it can move on a straight path along thecurrent or gradient direction. We discuss the significance of suppressing theskyrmion Hall effect for spintronic and neuromorphic applications of skyrmions.Lastly, we extend our discussion and compare it to a gradient generated by theDzyaloshinskii-Moriya interaction.

Skyrmion motion in magnetic anisotropy gradients: Acceleration caused by deformation