Моделирование критического состояния слоистых сверхпроводящих структур с неоднородными слоями

Abstract

An approach for calculating the critical state of layered structures consisting of inhomogeneous superconducting layers is proposed. The method is based on the numerical solution of the one-dimensional Ginzburg-Landau equations, generalized for an inhomogeneous plate. The method allows one to obtain the dependence of the critical current on the magnetic field, as well as the distribution of the current and magnetic field over the layers. A comparison is made of the averaged critical current of layered structures consisting of both inhomogeneous and homogeneous layers. It was found that with a relatively small number of layers and a small external magnetic field, the critical current of layered structures with homogeneous layers can exceed the critical current of structures with inhomogeneous layers. With an increase in the number of layers and / or the value of the external magnetic field, the critical current of layered structures with inhomogeneous layers begins, on the contrary, to exceed the critical current of structures with homogeneous layers. The pinning force in structures with inhomogeneous layers is higher than in the case of homogeneous ones.