Gaussian Effective Potential and superconductivity

Details Gaussian Effective Potential and superconductivity Gaussian Effective Potential and superconductivity

2002-11-23

arxiv.org/abs/cond-mat/0211523v2

Eur.Phys.J. B33 (2003) 273

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1140/epjb/e2003-00166-7

The Gaussian Effective Potential in a fixed transverse unitarity gauge is studied for the static three-dimensional U(1) scalar electrodynamics (Ginzburg-Landau phenomenological theory of superconductivity). In the broken-symmetry phase the mass of the electromagnetic field (inverse penetration depth) and the mass of the scalar field (inverse correlation length) are both determined by solution of the coupled variational equations. At variance with previous calculations, the choice of a fixed unitarity gauge prevents from the occurrence of any unphysical degree of freedom. The theory provides a nice interpolation of the experimental data when approaching the critical region, where the standard mean-field method is doomed to failure.

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