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We investigate from first principles the field-like spin-orbit torques (SOTs)in a Ag$_{2}$Bi-terminated Ag(111) film grown on ferromagnetic Fe(110). We findthat a large part of the SOT arises from the spin-orbit interaction (SOI) inthe Ag$_{2}$Bi layer far away from the Fe layers. These results clearly hint ata long range spin transfer in the direction perpendicular to the film that doesnot originate in the spin Hall effect. In order to bring evidence of thenon-local character of the computed SOT, we show that the torque acting on theFe layers can be engineered by the introduction of Bi vacancies in theAg$_{2}$Bi layer. Overall, we find a drastic dependence of the SOT on thedisorder type, which we explain by a complex interplay of differentcontributions to the SOT in the Brillouin zone.

Non-local field-like spin-orbit torques in Rashba systems: an ab-initio study of Ag$_{2}$Bi/Ag/Fe film