Egor Babaev, Mihail Silaev
The recent papers by V. G. Kogan and J. Schmalian [arXiv:1008.0581,arXiv:1007.2794] argue that the widely used two-component Ginzburg-Landau (GL) models are not correct, and further concludes that in the regime which is described by a GL theory there could be no disparity in the characteristic length scales of the variations of two superconducting components. This would in particular imply that in contrast to $U(1)\times U(1)$ systems, there could be no "type-1.5" superconducting regime in multiband superconductors for any finite interband coupling strength. We point out that these claims are incorrect and based on an erroneous scheme of reduction of a two-component GL theory.
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http://arxiv.org/abs/1105.3756
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