Evidence of controlling vortex matter via a superconducting Nanobridge

We theoretically investigate the magnetic response on a three-dimensional superconducting nanobridge system, which is compound of two parallel parallelepiped (samples) connected through a nanobridge of size L and thickness x, which mediates interactions between them. This study is conducted in the presence of a magnetic field H and the transport of a direct current J. We use the well-know time dependent Ginzburg-Landau theory (TDGL) for analyzed the possible effects on the density Gibbs free energy F, magnetization M, and superconducting electronic Cooper pair density |ψ|². We are interested in studying two cases: varying the L and x of the nanobridge in the absence of induced J, and including the induction of external J for fixed L and x. We find that L and x play an essential role in stabilizing (controlling) vortex states in the nanobridge, and the presence of induced J (J>0 and J<0), with a fixed L and x, causes the movement of vortex states in the nanobridge just when J is induced at both faces of superconducting nanobridge system.