Finite Element Treatment of Vortex States in 3D Mesoscopic Cylindrical Superconductors in a Tilted Magnetic Field |
| Lin Penga, Yahua Hu b, Zhijian Li a, Ke Deng a, Yanyan Zhu a, Li Xu a and Yun Zhou c
aDepartment of Physics, 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: July 3, 2017; In final form: October 21, 2017 |
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| The time-dependent Ginzburg-Landau equations have been solved numerically by a finite element analysis for the mesoscopic superconducting samples with cylindrical shape in a uniform axial magnetic field. We obtain the different vortex patterns as a function of the applied field perpendicular to its surface. We find that multi-vortex states are ground state in three-dimensional mesoscopic cylinders. These results show that our approach is an effective and useful to interpret experimental data on vortex states in the mesoscopic superconductors. |
DOI: 10.12693/APhysPolA.133.152 Topics: three-dimensional mesoscopic cylinders, TDGL equations, finite element method, vortex states |