What are nanostars in 2-D superconductor supposed to mean?

Physicists have discovered magnetic disturbances in two-dimensional layered superconductors, resembling small oscillating stars. This experimental observation is the direct confirmation of the famous Yu-Shiba-Rusinov theory which predicted an existence of these quantum bound magnetic states. It was found out that in the 2-D systems the magnetic excitations spread over longer distances as compared to ordinary 3-D superconducting materials. Building and manipulating such protected states is a cruc