Superconducting vortex state in a mesoscopic disk containing a blind hole

Within the phenomenological nonlinear Ginzburg-Landau theory, we studied the superconducting state of a mesoscopic superconducting disk with a circular blind hole. The influence of the smoothness of the blind hole edge, the thickness and size of the blind hole on the superconducting condensate and the vortex state is examined. We found that the presence of the blind hole in the superconductor increases the superconducting/normal transition field. For large radii of the blind hole the maximal number of vortices that can nucleate in the sample increases with decreasing thickness of the blind hole. Vortices are preferentially captured in the blind hole and for a sufficiently large radius of the blind hole, the multivortex structure becomes energetically favorable. A gradual transition from a multivortex to a giant vortex state is observed.