Gauge fluctuations and transition temperature for superconducting wires

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 L 1 × L 2 , gauge contributi...

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Bibliographic Details
Published inPhysica A Vol. 359; pp. 455 - 468
Main Authors Malbouisson, A.P.C., Milla, Y.W., Roditi, I.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 2006
Subjects
Superconducting wires
Superconductivity
Superconducting wires
Superconductivity
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Summary: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 L 1 × L 2 , 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, L 1 , L 2 , and of the bulk transition temperature T 0 , and determine the limiting sizes sustaining the transition. A superconducting film is achieved as the limit of one of the L i '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.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2005.05.082