Abstract

We study the behavior of a vortex array in a periodic pinning potential with the geometry of triangular and kagomé lattices. We analyze the system by looking at the behavior of the individual squared displacement of the vortices and a suitable order parameter, called the pinned fraction, as a function of temperature. For the first, second and third matching fields we show the phase diagrams indicating several stages of vortex lattice pinning and melting. At low temperatures the kagomé pinning potential shows a phase with rotating vortex triangles and geometric frustration.

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