Efectos De Rugosidades Superficiales Sobre Los Pares De Cooper En Un Disco Superconductor Surface Roughness Effects On Cooper Pairs In A Superconductor Disk

In this work, we study the vortex state in a mesoscopic superconducting disk of variable thickness. The roughness of the lower and upper surfaces of the disk is taken into account. We calculate the Cooper pairs density, the phase of the superconductor order parameter, the supercurrent and the vorticity for different applied magnetic field values. We found that this type of surface breaks the symmetry of the sample allowing the spontaneous nucleation of v´ ortices in the superconductor.