We investigate theoretically the superconducting matter in a microscopic structure consisting of a square prism with a central square dot. The transversal cross-section area of the square and the dot are L 2 = 2500ξ 2 (0) and T 2 = 196ξ 2 (0), respectively. The magnetic field and the order parameter are invariant along z-direction. We show that below T c the physics of this system projects an interesting decrease in the vorticity when the external applied magnetic field is increasing. We think that this phenomenon can be explained including a spontaneous generation of anti-vortex states due to the symmetry breaking effects in this system.