Properties of Vortex Configurations in Two-Band Mesoscopic Superconductors With Josphson Coupling: The Ginzburg–Landau Theory

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.