Formation and Rearragement of Vortex Tubes in a 3D Mesoscopic Superconductor with a Central Weak Link
Yuan Jiaoa, Lin Penga, Yanyan Zhua, Li Xua, Ying Wanga, Yahua Hub, Yun Zhouc
aDepartment of Physics and College of Environmental and Chemical Engineering, Shanghai University of Electric Power, Shanghai, 201300, China
bCollege of Nanhu, Jiaxing University, Jiaxing, Zhejiang 314001, PR China
cDepartment of Physics, China Jiliang University, Hangzhou, 310018, China
Received: October 24, 2017; in final form June 28, 2018
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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.

topics: three-dimensional mesoscopic superconductor, time-dependent Ginzburg-Landau equations, finite element method, vortex state