title: Extended Ginzburg-Landau formalism for two-band superconductors.
abstract: Recent observation of unusual vortex patterns in MgB(2) single crystals raised speculations about possible "type-1.5" superconductivity in two-band materials, mixing the properties of both type-I and type-II superconductors. However, the strict application of the standard two-band Ginzburg-Landau (GL) theory results in simply proportional order parameters of the two bands-and does not support the "type-1.5" behavior. Here we derive the extended GL formalism (accounting all terms of the next order over the small τ=1-T/T(c) parameter) for a two-band clean s-wave superconductor and show that the two condensates generally have different spatial scales, with the difference disappearing only in the limit T→T(c). The extended version of the two-band GL formalism improves the validity of GL theory below T(c) and suggests revisiting the earlier calculations based on the standard model.
authors.affiliation: Departement Fysica, Universiteit Antwerpen, Antwerpen, Belgium. arkady.shanenko@ua.ac.be
authors.forename: A A
authors.initials: AA
authors.lastname: Shanenko
authors.forename: M V
authors.initials: MV
authors.lastname: Milošević
authors.forename: F M
authors.initials: FM
authors.lastname: Peeters
authors.forename: A V
authors.initials: AV
authors.lastname: Vagov