Salvatore Torquato

Sep 6, 2024 | link.aps.org | Peter Morse |Paul J. Steinhardt |Salvatore Torquato

In previous work [Phys. Rev. X 5, 021020 (2015)] it was shown that stealthy hyperuniform systems can be regarded as hard spheres in Fourier space in the sense that the structure factor is exactly zero in a spherical region around the origin in analogy with the pair-correlation function of real-space hard spheres.

Sep 15, 2023 | link.aps.org | Peter Morse |Jaeuk U. Kim |Paul J. Steinhardt |Salvatore Torquato

Hyperuniform many-particle systems are characterized by a structure factor S(k) that is precisely zero as |k|→0; and stealthy hyperuniform systems have S(k)=0 for the finite range 0<|k|≤K, called the “exclusion region.” Through a process of collective-coordinate optimization, energy-minimizing disordered stealthy hyperuniform systems of moderate size have been made to high accuracy, and their novel physical properties have shown great promise.