Effect of pinning on the vortex motion in superconducting strip

We study the effect of different sizes and shapes of pinning centers on the vortex motion in superconducting strip in the presence of external current and magnetic field using the time-dependent Ginzburg-Landau theory. The size of pinning centers obviously affects the threshold current corresponding to the appearance of phase-slip line. The larger size results in a considerable decrease of the threshold current and a larger output voltage. For the same size, the different shapes of pinning centers lead to different behaviors of vortices. The dynamic behavior of vortices is dependent on the minimum distance dm between pinning center and the sample surface and the maximum length lm of the pinning center paralleling with the sample edge. However, the obvious changes are observed in the dynamic of vortex motion in superconductor with different pinning centers.