Large-N $\beta$-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.

LATEX, 5 pages no figures

References in corpus (4)

• Spontaneous Symmetry Breaking in Compactified $\lambda {\varphi }^4$ Theory
• Boundary dependence of the coupling constant and the mass in the vector N-component $(\lambda {\varphi }^4{)}_D$ theory
• Fermionic determinant with a linear domain wall in 2+1 dimensions
• Large N study of extreme type II superconductors in a magnetic field

Cited by in corpus (6)

• First-order phase transitions in superconducting films: A Euclidean model
• Large-N transition temperature for superconducting films in a magnetic field
• Phase transition in the 3-D massive Gross-Neveu model
• A note on the infrared behavior of the compactified Ginzburg--Landau model in a magnetic field
• Gauge fluctuations and transition temperature for superconducting wires
• Influence of external magnetic field, finite-size effects and chemical potential on the phase transition of a complex scalar field