Neither a type-I nor a type-II superconductivity in a two-gap system

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We show that in two-gap Ginzburg-Landau model there is a wide range of parameters where the behaviour of the superconductor in external field can not be classified nor as type-I nor as type-II. In this regime the superconductor features a nonmonotonic interaction between vortices (which is attractive at a certain large length scale and repulsive at a shorter length scale). This results in a first order transition into an inhomogeneous state of a mixture of vortex clusters where one of the order parameters is suppressed and domains of two-gap Meissner state.