Vortex-antivortex configurations and their stability in mesoscopic superconducting square

Abstract

We solve the Ginzburg-Landau equation (GLE) for the mesoscopic superconducting thin film of the square shape in the magnetic field for the wide range of the Ginzburg-Landau parameter 0.05< kappa. We focus on the region of the field where formation of the 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 the vorticity m=3 is found to be unstable for any field, xi/a and kappa. Reduction of kappa does not make the phase with antivortex more stable contrary to the case of the cylindric sample of the type I superconductor.

References in corpus (3)

• Dependence of the vortex configuration on the geometry of mesoscopic flat samples
• Stable vortex-antivortex molecules in mesoscopic superconducting triangles
• Phase transitions in the mesoscopic superconducting square

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• Vortex matter in the charged Bose liquid at absolute zero
• Field-induced p-wave Superconductivity in Mesoscopic Systems
• Localized charged states and phase separation near second order phase transition
• Vortex-antivortex annihilation in mesoscopic superconductors with a central pinning center
• Study of the threshold line between macroscopic and bulk behaviors for homogeneous type II superconductors
• Disorder-induced trapping and anti-trapping of vortices in type-II superconductors
• Antivortices due to competing orbital and paramagnetic pair-breaking effects