Using a finite element method to numerically solve the time-dependent two-band Ginzburg–Landau model whereby setting the temperature T close to the critical temperature T c , we studied the properties of vortex configurations of the mesoscopic two-band superconducting squares. Our analysis takes into account the relationship between the model parameters and microscopic material parameters. Especially, we analyze the effect of Fermi velocities on the vortex states in the mesoscopic two-band superconducting squares. From the simulation results, we observed four types of vortex regions in the magnetization curve for the systems, which could help to understand and detect the vortex states in mesoscopic two-band superconductors.

中文翻译：

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具有 Josphson 耦合的双波段介观超导体中的涡旋结构特性：Ginzburg-Landau 理论

使用有限元方法对瞬态双波段 Ginzburg-Landau 模型进行数值求解，从而将温度 T 设置为接近临界温度 T c ，我们研究了介观双波段超导正方形的涡旋配置的性质。我们的分析考虑了模型参数和微观材料参数之间的关系。特别是，我们分析了费米速度对介观双带超导正方形中涡旋态的影响。从模拟结果中，我们在系统的磁化曲线中观察到了四种类型的涡流区域，这有助于理解和检测介观两带超导体中的涡流状态。