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The spin Hall magnetoresistance is the result of the combined action of the direct and inverse spin Hall effects, and also of the Hanle effect - depolarization of spins by a transverse magnetic field. Swapping spin currents consists in the interchange of the directions of spin polarization and spin flow. Theoretical ideas and experimental results are reviewed.
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M. I. Dyakonov, "Spin Hall magnetoresistance and swapping spin currents," Proc. SPIE 10357, Spintronics X, 1035702 (5 September 2017); https://doi.org/10.1117/12.2277959