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Observation of the Curved and Entangled Vortex Tubes in 3D Mesoscopic Cubic Superconductors

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Abstract

The time-dependent Ginzburg-Landau equations have been solved numerically by a finite element analysis for the superconducting samples with a cubic shape in a uniform external magnetic field. We obtain the different vortex patterns as a function of the magnetic field perpendicular to its surface. The vortex tubes must reach the surface perpendicularly in order to avoid a supercurrent component pointing outwards the surface. At the same time, we observed the arrangement of spiral vortices in the cubic superconductor. These results show that our approach is an effective and useful to interpret experimental data on vortex states in the mesoscopic superconductors.

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Acknowledgments

This work is sponsored by the Science and Technology Commission of Shanghai Municipality (No. 14521102800), the National Natural Science Foundation of China (No. 51202141, 1140 4005), the Opening Project of Shanghai Key Laboratory of High Temperature Superconductors (No. 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).

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Correspondence to Lin Peng.

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Peng, L., Cai, C. & Chen, C. Observation of the Curved and Entangled Vortex Tubes in 3D Mesoscopic Cubic Superconductors. J Supercond Nov Magn 30, 2059–2064 (2017). https://doi.org/10.1007/s10948-017-4034-4

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  • DOI: https://doi.org/10.1007/s10948-017-4034-4

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