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Gauge fluctuations and transition temperature for superconducting wires

A.P.C. Malbouisson, Y.W. Milla and I. Roditi

Physica A: Statistical Mechanics and its Applications, 2006, vol. 359, issue C, 455-468

Abstract: In this paper we generalize to wires results recently obtained for superconducting films [L.M. Abreu, A.P.C. Malbouisson, I. Roditi, Eur. Phys. J. B 37 (2004) 515]. We consider the Ginzburg–Landau model, constrained to an infinitely long rectangular wire of cross-section L1×L2, gauge contributions being implemented by means of the Gaussian effective potential in the transverse unitarity gauge. We obtain equations for the critical temperature as a function of the wire transverse dimensions, L1,L2, and of the bulk transition temperature T0, and determine the limiting sizes sustaining the transition. A superconducting film is achieved as the limit of one of the Li's going to infinity, while the other one is kept fixed at a finite value (the film thickness). A qualitative comparison with some experimental observations is done.

Keywords: Superconductivity; Superconducting wires (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:359:y:2006:i:c:p:455-468

DOI: 10.1016/j.physa.2005.05.082

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