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

L. M. Abreu·A. P. C. Malbouisson·J. M. C. Malbouisson·A. E. Santana
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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.

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L. M. Abreu, A. P. C. Malbouisson, J. M. C. Malbouisson, A. E. Santana. 2003-04-29. Large-N transition temperature for superconducting films in a magnetic field. https://doi.org/10.1103/physrevb.67.212502

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