Gauge fluctuations and transition temperature for superconducting wires

Abstract

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 $L_i^{\prime }s$ and of $T_0$, and determine the limiting sizes sustaining the transition. A qualitative comparison with some experimental observations is done.

11 pages, 2 figures, to appear in Physica A

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Cited by in corpus (1)

• Critical temperature for first-order phase transitions in confined systems