Time-dependent Ginzburg–Landau equations for multi-gap superconductors**Project supported by the National Natural Science Foundation of China (Grant Nos. 11564003 and 11865005) and the Natural Science Foundation of Guangxi Province of China (Grant No. 2018GXNSFAA281024).

Abstract

We numerically solve the time-dependent Ginzburg–Landau equations for two-gap superconductors using the finiteelement technique. The real-time simulation shows that at low magnetic field, the vortices in small-size samples tend to form clusters or other disorder structures. When the sample size is large, stripes appear in the pattern. These results are in good agreement with the previous experimental observations of the intriguing anomalous vortex pattern, providing a reliable theoretical basis for the future applications of multi-gap superconductors.