Superconducting properties of mesoscopic squares

Abstract

We apply the complete nonlinear Time Dependent Ginzburg Landau (TDGL) equations to study the vortex dynamics in a mesoscopic type II superconductor using the numerical method based on the technique of gauge invariant variables. The solution of these equations shows how the vorticity penetrates into and goes out of the superconductor through the surface boundary. We calculate the spatial distribution of the superconducting electron density and the phase of the superconducting order parameter in a mesoscopic superconducting square sample containing two holes in the presence of a uniform perpendicular magnetic field. The dynamics of different vortex states are studied as a function of the external magnetic field.

Vortex configurations in thin superconducting equilateral triangles

“…As one can observe, it is in very good agreement with ͉⌿͉ computed by other approaches. 11,23,38 We finally studied the magnetic field dependence of several vortex configurations ͑usually the most stable ones ob- tained from the previous procedure͒. This was achieved in the following way.…”