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We demonstrate that the nontrivial magnetic texture of antiferromagneticskyrmions (AFM-Sks) promotes a non-vanishing topological spin Hall effect(TSHE) on the flowing electrons. This results in a substantial enhancement ofthe non-adiabatic torque and hence improves the skyrmion mobility. Thisnon-adiabatic torque increases when decreasing the skyrmion size, and thereforescaling down results in a much higher torque efficiency. In clean AFM-Sks, wefind a significant boost of the TSHE close to van Hove singularity.Interestingly, this effect is enhanced away from the band gap in the presenceof non-magnetic interstitial defects. Furthermore, unlike their ferromagneticcounterpart, TSHE in AFM-Sks increases with increase in disorder strength thusopening promising avenues for materials engineering of this effect.

Theory of Topological Spin Hall Effect in Antiferromagnetic Skyrmion: Impact on Current-induced Motion