Hyperuniformity: Why? How? What?

Abstract

A hyperuniform system can be isotropic and locally disordered, like a Poisson point process, but at large scales it becomes homogeneous, like a crystal. This combination endows hyperuniform materials with unique physical properties. At the same time, the concept provides interdisciplinary challenges. This talk presents an overview of at least some recent progress from physics and mathematics, e.g., on how to detect hyperuniformity, and what might distinguish different types of hyperuniform disorder in the infinite system size limit.