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Gauge Fluctuations in Superconducting Films

L. M. Abreu·A. P. C. Malbouisson·I. Roditi
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Abstract

In this paper we consider a superconducting film modeled by the Ginzburg-Landau model, confined between two parallel planes a distance $L$ apart from one another. Our approach is based on the Gaussian effective potential in the transverse unitarity gauge, which allows to treat gauge contributions in a compact form. Using techniques from dimensional and $zeta$-function regularizations, modified by the confinement conditions, we investigate the critical temperature as a function of the film thickness $L$. The contributions from the scalar self-interaction and from the gauge fluctuations are clearly identified. The model suggests the existence of a minimal critical thickness below which superconductivity is suppressed.

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L. M. Abreu, A. P. C. Malbouisson, I. Roditi. 2003-05-15. Gauge Fluctuations in Superconducting Films. https://doi.org/10.1140/epjb%2Fe2004-00088-x

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