The Ginzburg-Landau equations are derived, following the method of Gor'kov, for superconductors with two bands at the Fermi surface which are pure enough to have two energy gaps. The condition for the material to be a type II superconductor is obtained. This condition is considered for transition metals, with reasonable assumptions about the parameters involved, and it is shown that the superconductor becomes more `soft' as the coupling between the bands becomes stronger.
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D. R. Tilley (1964) studied this question.
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