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