  In the present work we studied the magnetization, vorticity, Cooper pairs
density and the space distribution of the local magnetic field in a
three-dimensional superconductor with a SQUID geometry (a square with a central
hole connected to the outside vacuum through a very thin slit). Our
investigation was carried out in both the Meissner-Oschenfeld and the Abrikosov
state solving the two-band Ginzburg-Landau equations considering a Josephson
coupling between the bands. We found a non-monotonic vortex behavior and the
respective generation of vortex cluster due to the Josephson coupling used
between condensates.
