Gauge fluctuations and transition temperature for superconducting wires

• Published in: arXiv.org
• Main Authors: Malbouisson, A P C, Milla, Y W, Roditi, I
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 01.08.2005
• Subjects: Critical temperature; Transition temperature; Variation; Wire
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.0508049

We consider the Ginzburg-Landau model, confined in an infinitely long rectangular wire of cross-section \(L_{1}\times L_{2}\). Our approach is based on the Gaussian effective potential in the transverse unitarity gauge, which allows to treat gauge contributions in a compact form. The contributions from the scalar self-interaction and from the gauge fluctuations are clearly identified. Using techniques from dimensional and \(zeta\)-function regularizations, modified by the confinement conditions, we investigate the critical temperature for a wire of transverse dimensions \(L_1\), \(L_2\). Taking the mass term in the form \(m_{0}^2=a(T/T_0 - 1)\), where \(T_0\) is the bulk transition temperature, we obtain equations for the critical temperature as a function of the \(L_{i}'s\) and of \(T_{0}\), and determine the limiting sizes sustaining the transition. A qualitative comparison with some experimental observations is done.