Abstract
We examine the effects of DC and AC driving on vortex lattices in periodic pinning arrays for a system containing twice as many vortices as pinning sites. The vortex flow occurs by the motion of the interstitial vortices through a periodic potential generated by the vortices that remain pinned at the pinning sites. With an AC offset, we observe Shapiro steps when the interstitial vortex motion interferes with the applied AC driving. The widths of the Shapiro steps as a function of the magnitude of the AC driving are found to follow a Bessel function in agreement with theory.
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