  Integrating topologically stabilized magnetic textures such as skyrmions as
nanoscale information carriers into future technologies requires the reliable
control by electric currents. Here, we uncover that the relevant skyrmion Hall
effect, which describes the deflection of moving skyrmions from the current
flow direction, acquires important corrections owing to anisotropic spin-orbit
torques that alter the dynamics of topological spin structures. Thereby, we
propose a viable means for manipulating the current-induced motion of skyrmions
and antiskyrmions. Based on these insights, we demonstrate by first-principles
calculations and symmetry arguments that the motion of spin textures can be
tailored by materials design in magnetic multilayers of Ir/Co/Pt and Au/Co/Pt.
Our work advances the understanding of the current-induced dynamics of these
magnetic textures, which underlies a plethora of memory and logic applications.
