Properties of vortex clusters and intercluster interaction in type-II and type-1.5 two-band superconductors and type-I/type-II superconducting bilayers

We discuss magnetic flux-carrying vortex states in multiband type-II and type-1.5 superconductors and interlaced type-I/type-II superconducting multilayers. Especially we focus on the case where there is a substantial disparity in characteristic variations of superfluid densities in bands or superconducting layers. We discuss the properties of vortex clusters in the type-1.5 regime both in the cases of strong and weak interband Josephson coupling, including interaction between vortex clusters with different numbers of vortices.