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