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

• Published in: Europhysics letters Vol. 96; no. 3; p. 31002
• Main Authors: Linhares, C. A, Malbouisson, A. P. C, Souza, M. L
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.11.2011; EPS, SIF, EDP Sciences and IOP Publishing
• Subjects: 11.10.Kk; 11.10.Wx; 11.30.Qc
• ISSN: 0295-5075; 1286-4854
• DOI: 10.1209/0295-5075/96/31002

We consider the Euclidean large-N Ginzburg-Landau model in D dimensions, d (d⩽D) 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.