The two-dimensional one-component plasma is hyperuniform
arXiv:2104.05109
Abstract
We prove that at all positive temperatures in the bulk of a classical two-dimensional one-component plasma (also called Coulomb or log-gas, or jellium) the variance of the number of particles in large disks grows (strictly) more slowly than the area. In other words the system is hyperuniform.
92p. revised version, to appear in Duke Mathematical Journal