A note on the infrared behavior of the compactified Ginzburg--Landau model in a magnetic field

DOI10.1209/0295-5075/96/31002arXiv1110.4512MaRDI QIDQ6228492

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Publication date: 20 October 2011

Abstract: We consider the Euclidean large-$N$ Ginzburg--Landau model in $D$ dimensions, $d$ ($dleqD$) of them being compactified. For D=3, the system can be supposed to describe, in the cases of d=1, d=2, and d=3, respectively, a superconducting material in the form of a film, of an infinitely long wire having a rectangular cross-section and of a brick-shaped grain. We investigate the fixed-point structure of the model, in the presence of an external magnetic field. An infrared-stable fixed points is found, which is independent of the number of compactified dimensions. This generalizes previous work for type-II superconducting films

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