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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 ξ0ν~ℏvFν/Δν(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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