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Planar spin transport in disordered ultrathin magnetic bilayers comprising aferromagnet and a normal metal (typically used for spin pumping, spin Seebeckand spin-orbit torque experiments) is investigated theoretically. Using atight-binding model that treats extrinsic spin Hall effect, spin swapping andspin relaxation on equal footing, we show that the nature of spin-orbit coupledtransport dramatically depends on ratio between the layers thickness $d$ andthe mean free path $\lambda$. While spin Hall effect dominates in the diffusivelimit ($d\gg\lambda$), spin swapping dominates in Knudsen regime($d\lesssim\lambda$). A remarkable consequence is that the symmetry of thespin-orbit torque exerted on the ferromagnet is entirely different in these tworegimes.

Spin Swapping Transport and Torques in Ultrathin Magnetic Bilayers