Description
Type-1.5 superconductors are characterized by multiple
coherence lengths, some of which are larger and some
smaller than the magnetic field penetration length. This can
occur in superconducting states that break multiple
symmetries and in materials with multiple superconducting
bands. In these conditions, vortices can display multiscale
attractive and repulsive interactions leading to an exotic
phenomenology both in the equilibrium and the dynamics of
the vortex matter. We explore this phenomenology through
numerical simulations of effective models using exact
intervortex asymptotic interactions. In particular, we show
that a vortex glass state can be an inherent property of a
superconducting system characterized by multiple coherence
lengths. Interestingly, this glassy phase emerges as a result
of the self-assembly process in a clean sample with no
pinning or substrate impurities.