Finite Element Treatment of Vortex States in 3D Cubic Superconductors in a Tilted Magnetic Field
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The time-dependent Ginzburg–Landau equations have been solved numerically by a finite element analysis for superconducting samples with a cubic shape in a tilted magnetic field. We obtain different vortex patterns as a function of the external magnetic field. With a magnetic field not parallel to the x- or y-axis, the vortices attempt to change their orientation accordingly. Our analysis of the corresponding changes in the magnetic response in different directions can provide information not only about vorticity but also about the three-dimensional vortex arrangement, even about the very subtle changes for the superconducting samples with a cubic shape in a tilted magnetic field.
KeywordsThree-dimensional cubic superconductors TDGL equations Finite element method Vortex states
This work is sponsored by the Science and Technology Commission of Shanghai Municipality (14521102800), the National Natural Science Foundation of China (51202141), the Opening Project of Shanghai Key Laboratory of High Temperature Superconductors (14DZ2260700), the Natural Science Foundation of Shanghai (No.17ZR1411400), the Shanghai plateau project (Shanghai University of Electric Power) and the Innovation Program of Shanghai Municipal Education Commission (No. 14YZ132).