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We report a microscopic derivation of two-component Ginzburg-Landau (GL)field theory and the conditions of its validity in two-band superconductors. Wealso investigate the conditions when microscopically derived orphenomenological GL models fail and one should resort to a microscopicdescription.  We show that besides being directly applicable at elevated temperatures, aversion of a minimal two-component GL theory in certain cases also givesaccurate description of certain aspects of a two-band system even substantiallyfar from $T_c$. This shows that two-component GL model can be used foraddressing a wide range of questions in multiband systems, in particular vortexphysics and magnetic response. We also argue that single Ginzburg-Landauparameter cannot in general characterize magnetic response of multibandsystems.

Microscopic derivation of two-component Ginzburg-Landau model and conditions of its applicability in two-band systems