Vortex pinning and dynamics in layered superconductors with periodic pinning arrays

We examine vortex dynamics and pinning in layered superconductors using three-dimensional molecular dynamics simulations of magnetically interacting pancake vortices. Our model treats the magnetic interactions of the pancakes exactly, with long-range logarithmic interactions both within and between planes. At the matching field the Vortices are aligned with the pinning array. As a function of tilt angle for the pinning arrays a series of commensuration effects occur, seen as peaks in the critical current, due to pancakes finding a favorable alignment.