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We study the effect of a short-ranged hard-core repulsion on the stabilityand superfluid properties of the cluster crystal phase of two-dimensional (2D)soft core bosons. Results of Quantum Monte Carlo simulations on a cogent testcase suggest that the main physical properties of the phase remain unaltered ifthe range d of the inner repulsive core is sufficiently short, even if thestrength of the repulsion is several orders of magnitude greater than the outersoft core barrier. Only if d is an appreciable fraction of the size of theclusters (> 5%) does a sufficiently strong hard core repulsion cause thecrystal to break down into a homogeneous superfluid; a moderate inner corerepulsion enhances the superfluid response of the crystalline phase.

Hard core repulsion and supersolid cluster crystals