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Most of the existing researches on the dynamics of a domain wall (DW) havefocused on the effect of DC biases, where the induced velocity is determined bythe bias strength. Here we show that AC biases such as a field or a current arealso able to move a DW via synchronization between the DW angle and the phaseof the AC bias. The resulting DW velocity is proportional to the drivingfrequency of the AC bias, but independent of the bias strength, offeringpotentially low-power operations of DW devices. The AC-bias-driven DW motion isshown to exhibit a phase locking-unlocking transition, a critical phenomenonakin to the Walker breakdown of a DC-bias-driven DW motion. Our work shows thata DW can be driven resonantly by synchronizing its angle to AC biases, sheddinga light on hitherto overlooked utility of internal degree of freedom fordriving magnetic textures.

Magnetic Domain Wall Motion due to AC Bias-Driven Resonances