Domain wall displacement triggered by an AC current below threshold
  It is theoretically demonstrated that a displacement of a pinned domain wall, typically of order of $\mu$m, can be driven by use of an ac current which is below threshold value. The point here is that finite motion around the pinning center by a low current is enhanced significantly by the resonance if the frequency is tuned close to the pinning frequency as demonstrated by recent experiment. 
Gen Tatara, Eiji Saitoh, Masahiko Ichimura, Hiroshi Kohno