Our study sample is a mesoscopic superconducting three-dimensional parallelepiped immersed in a magnetic field \(H_{z}\). The sample presents an anisotropy of the Ginzburg–Landau parameter \(\kappa (z)\) in the z-axis. This dependence allows us to simulate a superconducting three layer system, where the top and bottom layers are made of a type-II superconducting material, and the middle layer is fabricated of a type-I material. We analyzed the superconducting electron density, free energy, and the magnetization curves as functions of H for different values of \(\kappa (z)\). Due to the effects of proximity and shielding on the borders of the layers, Abrikosov vortices are present in the type I regions, and a fractional vortex state is present in the type II superconducting region.

我们的研究样本是浸没在磁场\（H_ {z} \）中的介观超导三维平行六面体。该样本在z轴上显示了Ginzburg–Landau参数\（\ kappa（z）\）的各向异性。这种依赖关系使我们可以模拟超导三层系统，其中顶层和底层由II型超导材料制成，中间层由I型材料制成。对于不同的\（\ kappa（z）\）值，我们分析了超导电子密度，自由能和磁化曲线作为H的函数。。由于层边界上的邻近和屏蔽效应，Abrikosov涡旋存在于I型区域，分数涡旋状态存在于II型超导区域。