It is shown that within the Ginzburg-Landau (GL) approximation the order parameters Δ₁(r,T) and Δ₂(r,T) in two-band superconductors vary on the same length scale, the difference in zero-T coherence lengths ξ_0ν~v_Fν/Δ_ν(0), ν=1,2 notwithstanding. This amounts to a single physical GL parameter κ and the classic GL dichotomy: κ<1/√2 for type I and κ>1/√2 for type II.
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Kogan et al. (2011) studied this question.
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