Abstract
Numerical solutions of the Ginzburg–Landau (GL) equations for cylindrical configurations have been developed to study the magnetization of two superconducting lead nanowires arrays, electrodeposited under either constant or pulsed voltage conditions. By freely adjusting the GL phenomenological lengths χ(T) and ξ(T), the experimental magnetization curves, far from and close to the critical temperature Tc are reproduced to within a 10% error margin. Beyond this agreement, the temperature dependence of the adjusted phenomenological lengths are also compared to di.erent theoretical and empirical laws. The Gorter-Casimir two-fluid model then gives the most satisfactory agreement for both samples. A distinction between them is next achieved by studying the extrapolated penetration depths at zero Kelvin. In particular, a comparison in terms of their electronic mean free paths agrees with the experimental expectation given with both experimental electrodeposition techniques.
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Stenuit, G., Govaerts, J., Michotte, S., Piraux, L. (2007). II.2 Cuprate and other unconventional superconductors. In: Scharnberg, K., Kruchinin, S. (eds) Electron Correlation in New Materials and Nanosystems. NATO Science Series, vol 241. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5659-8_23
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