We have proposed a method to synchronize multiple spin-transfer torqueoscillators based on spin pumping, inverse spin Hall, and spin Hall effects.The proposed oscillator system consists of a series of nano-magnets in junctionwith a normal metal with high spin-orbit coupling, and an accumulative feedbackloop. We conduct simulations to demonstrate the effect of modulated chargecurrents in the normal metal due to spin pumping from each nano-magnet. We showthat the interplay between the spin Hall effect and inverse spin Hall effectresults in synchronization of the nano-magnets.
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