Abstract
The superconducting state of mesoscopic square samples with two and four antidots is studied using the nonlinear Ginzburg–Landau (GL) theory. We found a qualitative difference in the nucleation of the superconducting state in samples with different number of antidots, which is related to the interplay of the different types of symmetry. The H– T phase diagram of these structures reveals an oscillatory behavior caused by the formation of different stable vortex configurations in these small clusters of pinning centers. A comparison with the experiment of H– T phase diagram is given.
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