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

Author： Linhares C. A.   Malbouisson A. P. C.   Souza M. L.  

Publisher： Edp Sciences

E-ISSN： 1286-4854|96|3|31002-31002

ISSN： 0295-5075

Source： EPL (EUROPHYSICS LETTERS), Vol.96, Iss.3, 2011-10, pp. : 31002-31002

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Abstract

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.

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