Journal of Low Temperature Physics

, Volume 188, Issue 1–2, pp 39–48

Finite Element Treatment of Vortex States in 3D Cubic Superconductors in a Tilted Magnetic Field


DOI: 10.1007/s10909-017-1769-z

Cite this article as:
Peng, L. & Cai, C. J Low Temp Phys (2017) 188: 39. doi:10.1007/s10909-017-1769-z


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.


Three-dimensional cubic superconductors TDGL equations Finite element method Vortex states 

Funding information

Funder NameGrant NumberFunding Note
Natural Science Foundation of Shanghai
  • 13ZR1417600

Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.Department of PhysicsShanghai University of Electric PowerShanghaiChina
  2. 2.Shanghai Key Laboratory of High Temperature Superconductors, Physics DepartmentShanghai UniversityShanghaiChina

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