Proximity effects in a single- and two-band superconducting heterostructures: time-dependent Ginzburg-Landau approach.

Abstract In this work, we study the proximity effects in a single-and two-band superconducting three-dimensional heterostructure, described by two condensates (condensate 1 and condensate 2) under the presence of an external magnetic field perpendicular to the heterostructure. The distance between the interface of both condensate is given by the parameter λ ′. We solve the time-dependent Ginzburg-Landau equations considering a Josephson-like coupling to explore properties such as magnetization, Gibbs free energy and the Abrikosov vortex state. We considered three cases, in the case 1: both condensates are composed by a single-band, case 2: the condensates are composed by two-bands and case 3: the condensate 1 has a single-band and the condensate 2 has two-bands. As a results, we highlight the variation of the first critical field and the novel vortex configuration induced by the proximity effect between the superconducting condensates. This phenomenon exerts a substantial influence on the arrangement of vortex in each of the superconducting bands.