Generation of Dense Disordered Stealthy Hyperuniform Sphere Packings

Disordered stealthy hyperuniform (SHU) packings are exotic amorphous two-phase materials endowed with novel optical, transport, and mechanical properties. We create such packings via a modified collective-coordinate optimization scheme that includes a soft-core repulsion in addition to the standard "stealthy" pair potential. Here, we demonstrate that 3D SHU packings with soft-core repulsions attain substantially higher packing fractions compared to those without soft-core repulsions, and the resulting structures range from disordered jammed packings to polymer-like linear hard-sphere chains as the stealthiness parameter $\chi$ varies. Thus, our results offer a new route for discovering novel disordered hyperuniform two-phase materials with unprecedented high density.