Gauge Fluctuations in Superconducting Films

Abstract

In this paper we consider a superconducting film modeled by the Ginzburg-Landau model, confined between two parallel planes a distance $L$ apart from one another. Our approach is based on the Gaussian effective potential in the transverse unitarity gauge, which allows to treat gauge contributions in a compact form. Using techniques from dimensional and $zeta$-function regularizations, modified by the confinement conditions, we investigate the critical temperature as a function of the film thickness $L$. The contributions from the scalar self-interaction and from the gauge fluctuations are clearly identified. The model suggests the existence of a minimal critical thickness below which superconductivity is suppressed.

6 pages Revtex, no figures

References in corpus (13)

• Thickness dependence of the properties of epitaxial MgB2 thin films grown by hybrid physical-chemical vapor deposition
• Spontaneous Symmetry Breaking in Compactified $\lambda {\varphi }^4$ Theory
• Scaling in high-temperature superconductors
• Boundary dependence of the coupling constant and the mass in the vector N-component $(\lambda {\varphi }^4{)}_D$ theory
• Theory of a Continuous H${}_{c2}$ Normal-to-Superconducting Transition
• Dirac Fermions and Domain Wall Defects in 2+1 Dimensions
• Gaussian Effective Potential and superconductivity
• Superconducting Properties of MgCNi3 Films
• Fluctuation induced first order phase transition in thin films of type I superconductors
• Mixed phases in U(N) superconductivity
• Large-N transition temperature for superconducting films in a magnetic field
• 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 (9)

• Quantum field theory on toroidal topology: algebraic structure and applications
• A variational method from the variance of energy
• A general interpolation scheme for thermal fluctuations in superconductors
• First-order phase transitions in superconducting films: A Euclidean model
• Properties of size-dependent models having quasiperiodic boundary conditions
• Properties of neutral mesons in a hot and magnetized quark matter: size-dependent effects
• Critical temperature for first-order phase transitions in confined systems
• Gauge fluctuations and transition temperature for superconducting wires
• New features of the phase transition to superconducting state in thin films