Minimum size for the occurrence of vortex matter in a square mesoscopic superconductor

The study of superconducting samples in mesoscopic scale presented a remarkable improvement during the last years. Certainly, such interest is based on the fact that when the size of the samples is close to the order of the temperature dependent coherence length ξ( T) and/or the size of the penetrat...

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Bibliographic Details
Published in:Physica. B, Condensed matter Condensed matter, 2008-04, Vol.403 (5), p.1494-1496
Main Authors: Lisboa-Filho, P.N., Malvezzi, A.L., Sardella, E.
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures
Electronic transport in mesoscopic systems
Exact sciences and technology
Nanoscale systems
Physics
Properties of type I and type II superconductors
Superconducting materials (excluding high-tc compounds)
Superconductivity
Superconductors
Vortex lattice
Vortex lattices ,flux pinning, flux creep
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Summary:The study of superconducting samples in mesoscopic scale presented a remarkable improvement during the last years. Certainly, such interest is based on the fact that when the size of the samples is close to the order of the temperature dependent coherence length ξ( T) and/or the size of the penetration depth λ( T), there are some significant modifications on the physical properties of the superconducting state. This contribution tests the square cross-section size limit for the occurrence (or not) of vortices in mesoscopic samples of area L 2, where L varies discretely from 1 ξ(0) to 8 ξ(0). The time dependent Ginzburg–Landau (TDGL) equations approach is used upon taking the order parameter and the local magnetic field invariant along the z-direction. The vortex configurations at the equilibrium can be obtained from the TDGL equations for superconductivity as the system relaxes to the stationary state. The obtained results show that the limit of vortex penetration is for the square sample of size 3 ξ(0)×3 ξ(0) in which only a single vortex are allowed into the sample. For smaller specimens, no vortex can be formed and the field entrance into the sample is continuous and the total flux penetration occurs at higher values of H/ H c2(0), where H c2( T) is the upper critical field. Otherwise, for larger samples different vortices patterns can be observed depending on the sample size.
ISSN:0921-4526
1873-2135
DOI:10.1016/j.physb.2007.10.247