Vortex transport and pinning in conformal pinning arrays

We examine the current driven dynamics for vortices interacting with conformal crystal pinning arrays and compare to the dynamics of vortices driven over random pinning arrays. We find that the pinning is enhanced in the conformal arrays for field densities less than 2.5 times the matching field. At higher fields, the effectiveness of the pinning in the moving vortex state is enhanced in the random arrays compared to the conformal arrays, leading to crossing of the velocity force curves.