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We study the ac current-driven domain wall motion in bilayer ferromagneticmetal (FM)/nonmagnetic metal (NM) nanowire. The solution of the modifiedLandau-Lifshitz-Gilbert equation including all the spin transfer torques isused to describe motion of the domain wall in presence of the spin Hall effect.We show that the domain wall center has second harmonic frequency response inaddition to the known first harmonic excitation. In contrast to theexperimentally observed second harmonic response in harmonic Hall measurementsof spin-orbit torque in magnetic thin films, this second harmonic responsedirectly originates from spin-orbit torque driven domain wall dynamics. Basedon the spin current generated by domain wall dynamics, the longitudinal spinmotive force generated voltage across the length of the nanowire is determined.The second harmonic response introduces additionally a new practical field-freeand all-electrical method to probe the effective spin Hall angle for FM/NMbilayer structures that could be applied in experiments. Our results alsodemonstrate the capability of utilizing FM/NM bilayer structure in domain wallbased spin torque signal generators and resonators.

physical review. b./physical review. b

Current driven second harmonic domain wall resonance in ferromagnetic  metal/ nonmagnetic metal bilayer: a field-free method for spin Hall angle  measurements