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Vortex-antivortex configurations and its stability in a mesoscopic superconducting square

T. Mertelj, V. V. Kabanov

DOI 10.1103/PhysRevB.67.134527 · Physical Review B

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Abstract

We solve the Ginzburg-Landau equation for the mesoscopic superconducting thin film of square shape in a magnetic field for a wide range of Ginzburg-Landau parameters 0.05<κeff<∞. We focus on the region of the field where the formation of an antivortex has been reported previously. We found that the phase with the antivortex exists in the broad range of parameters. When the coherence length decreases the topological phase transition to the phase with the same total vorticity and a reduced symmetry takes place. The giant vortex with vorticity m=3 is found to be unstable for any field, ξ/a and κeff≳0.1. Reduction of κeff does not make the phase with antivortex more stable contrary to the case of a cylindric sample of the type-I superconductor.

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