Vortex and anti-vortex states in superconducting membrane with structural anomalies

In this work, we examine the kinematic vortex state in a mesoscopic superconducting membrane under the influence of an applied direct current and an external magnetic field. The analysis focuses on the velocity of the vortex-antivortex state, the resistivity curves as functions of the externally applied current, and the time evolution of the Cooper pair density at different current levels. The sample features a thin incrustation composed of a material with a lower superconducting critical temperature, enabling the control of vortex dynamics within the membrane. Using the generalized time-dependent Ginzburg-Landau model for a two-dimensional superconducting membrane, we found that the number of pinning centers significantly influences the vortex dynamics and the magnetic response of the sample. It is observed that, as pairs within defects approach each other in a double-system scenario, they mutually attract in a manner reminiscent of the behavior of Josephson vortices. In the cases studied, our results show that the applied current creates a barrier that induces the attraction of -type vortices. The defects in the sample are crucial for the design of devices used in industry and engineering.