Abstract
Using different negatives values of deGennes parameter in the boundary condition of a square sample superconducting type II is possible to change its vorticity. Due to the proximity effects, the cooper pairs density snapshot show how a giant vortex occurs when the external magnetic field is increased. Solving numerically the coupled nonlinear time dependent Ginzburg-Landau equations we obtain the vorticity, magnetic induction, cooper pair density, magnetization and phase of the order parameter as a function of the external magnetic field for this sample. We found that a giant vortex state occurs when a sample is surrounded by another superconductor at higher critial temperature.
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