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Disordered stealthy hyperuniform (SHU) materials achieve high densities with soft-core repulsions, unlike those without. This research provides formulas for maximal packing fractions in SHU systems.

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Area of Science:

  • Materials Science
  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • Disordered stealthy hyperuniform (SHU) packings are exotic amorphous materials with unique properties.
  • These materials are typically formed from point patterns using modified optimization schemes.

Purpose of the Study:

  • To investigate the maximal packing fraction (ϕmax) in SHU systems.
  • To explore the impact of soft-core repulsions and the stealthiness parameter (χ) on packing density in 1-3 dimensions.

Main Methods:

  • Simulations of SHU point patterns with and without soft-core repulsions.
  • Analysis of pair distance distributions and nearest-neighbor distances.
  • Calculation of structure factors, pair correlation functions, and spectral density.

Main Results:

  • Without soft-core repulsions, ϕmax decreases with increasing particle number (N).
  • With soft-core repulsions, ϕmax becomes large and independent of N, reaching up to 1.0, 0.86, 0.63 in 1, 2, 3 dimensions, respectively.
  • Soft-core repulsions significantly alter correlations and increase large-scale order with increasing χ.

Conclusions:

  • Soft-core repulsions enable unprecedentedly high densities in disordered SHU materials.
  • Explicit formulas for ϕmax were derived as functions of χ and N.
  • These findings offer a new pathway for designing novel high-density amorphous materials.