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Large-N $β$-function for superconducting films in a magnetic field

A. P. C. Malbouisson
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Abstract

By considering the large-N Ginzburg-Landau model, compactified in one of the spatial dimensions, we determine the beta-function and find an infrared stable fixed point for a superconducting film for dimensions $4<D<6$. We find that this fixed point is independent of the film thickness ($L$). For the physical dimension D=3 we conclude that if a transition exists it is not a second order one.

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A. P. C. Malbouisson. 2002-09-23. Large-N $β$-function for superconducting films in a magnetic field. https://doi.org/10.1103/physrevb.66.092502

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