Formation and Rearragement of Vortex Tubes in a 3D Mesoscopic Superconductor with a Central Weak Link

Abstract

Vortex patterns are determined for a three-dimensional mesoscopic superconductor with one central weak link, using the time-dependent Ginzburg-Landau equations. The vortex states are obtained for field orientation parallel and perpendicular to the weak link, and vortex rearrangements are found to occur in the vortex patterns. Tilting of the field leads to interesting phenomena caused by the small volume-to-surface ratio, as vortex tubes are preferentially oriented along the field direction while they are forced to be perpendicular to the surface. In addition, we can also observe the intersection of vortex tubes inside (or near) the weak link.

Formation and Annihilation of Vortex-Antivortex Pairs by Magnetic Dipoles in a Mesoscopic Superconducting Film

“…As a theoretical approach we use time-dependent Ginzburg-Landau (TDGL) equations because they allow to study both the nucleation of the V-Av pairs and their dynamics. Meanwhile, by using finite-element method (FEM) [16][17][18][19][20] the TDGL equations are numerically solved. The high precision of the finite-element method in solving linear equations allows us to significantly increase the grid resolution, for instance, in the neighborhood of the V-Av molecule.…”