De Gennes parameter limit for the occurrence of a single vortex in a square mesoscopic superconductor

• Published in: Physica. C, Superconductivity Vol. 469; no. 13; pp. 754 - 755
• Main Authors: Barba-Ortega, J., Albino Aguiar, J.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.07.2009; Elsevier
• Subjects: Condensed matter: electronic structure, electrical, magnetic, and optical properties; De Gennes extrapolation length; Exact sciences and technology; Ginzburg–Landau; Mesoscopic; Mesoscopic and nanoscale systems; Physics; Superconducting; Superconducting films and low-dimensional structures; Superconductivity; De Gennes extrapolation length; 74.78.−w; Mesoscopic; 74.20.De; 74.78.Na; Ginzburg–Landau; Superconducting; External fields; 74.78.-w; Ginzburg-Landau theory; Magnetic field effects; Boundary conditions; Order parameters; Time dependence; Superconductors; Vortices; Size effect; Square shape; Mesoscopic systems; Ginzburg-Landau
• ISSN: 0921-4534; 1873-2143
• DOI: 10.1016/j.physc.2009.04.005

The time dependent Ginzburg–Landau equations (TDGLE) are used to study the properties of a mesoscopic superconducting square surrounded by different metallic materials. The properties of the metallic environment are taken into account by De Gennes boundary conditions, via the extrapolation length b. The external magnetic field is applied perpendicularly to the square surface. The TDGLE are used upon taking the magnetic field and the order parameter invariant along z-direction. It is determined the b-limit for the occurrence of a single vortex in a mesoscopic square of area d 2, d varies discretely from 4 ξ(0) to 10 ξ(0). We can show a logarithmical dependence of the sample size as a function on b parameter.