Large-N transition temperature for superconducting films in a magnetic field

Abstract

We consider the $N$-component Ginzburg-Landau model in the large $N$ limit, the system being embedded in an external constant magnetic field and confined between two parallel planes a distance $L$ apart from one another. On physical grounds, this corresponds to a material in the form of a film in the presence of an external magnetic field. Using techniques from dimensional and $zeta$-function regularization, modified by the external field and the confinement conditions, we investigate the behavior of the system as a function of the film thickness $L$. This behavior suggests the existence of a minimal critical thickness below which superconductivity is suppressed.

arXiv commentRevtex, two column, 4 pages, 2 figures

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• Dimensional reduction of a finite-size scalar field model at finite temperature
• A note on the infrared behavior of the compactified Ginzburg--Landau model in a magnetic field
• Gauge fluctuations and transition temperature for superconducting wires
• Influence of external magnetic field, finite-size effects and chemical potential on the phase transition of a complex scalar field
• Feynman Amplitudes in Periodically Compactified Spaces -- Spin 0