II.2 Cuprate and other unconventional superconductors
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.
KeywordsVortex Coherence Vorticity
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- V.L. Ginzburg and L.D. Landau, Zh. Eksp. Teor. Fiz. 20, 1064 (1950) (in Russian).Google Scholar
- G. Stenuit, S. Michotte, J. Govaerts, L. Piraux and D. Bertrand, Vortex Configurations in Mesoscopic Superconducting Nanowires, Mod. Phys. Lett. B17 (2003) 537–547 (Proceedings of the International Conference on Modern Problems in Superconductivity, Yalta (Ukraine), September 9–14, 2002).ADSGoogle Scholar
- G. Stenuit, Configurations de vortex magnétiques dans des cylindres mésoscopiques supraconducteurs, Ph.D. Thesis, Université catholique de Louvain, Louvain-la-Neuve, 2004.Google Scholar
- G. Stenuit, J. Govaerts and D. Bertrand, Half-Integer Number Vortices in the Ginzburg-Landau-Higgs Model, edited by J. Annett, S. Kruchinin, NATO Science Series II, Vol.67, pp. 375–384 (Proceedings of the NATO Advanced Research Workshop “New Trends in Superconductivity”, Yalta (Ukraine), September 16–20, 2001).Google Scholar
- M. Tinkham, Introduction to Superconductivity, 2nd ed. (McGraw-Hill, New York, 1996).Google Scholar
- C.J. Gorter and H.B.G. Casimir, Phys. Z. 35 (1934) 963; Physica 1 (1934) 306.Google Scholar
- A Physicist’s Desk Reference, 2nd ed., edited by H. L. Anderson (AIP, New York, 1989), p. 117, cited in the Ref. (Yang et al., 2003).Google Scholar
- R. Barlow, Asymmetric errors, Preprint physics/0401042 (2004).Google Scholar