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Disordered hyperuniform structures are an exotic state of matter havingvanishing long-wavelength density fluctuations similar to perfect crystals butwithout long-range order. Although its importance in materials science has beenbrought to the fore in past decades, the rational design of experimentallyrealizable disordered strongly hyperuniform microstructures remainschallenging. Here we find a new type of non-equilibrium fluid with stronghyperuniformity in two-dimensional systems of chiral active particles, whereparticles perform independent circular motions of the radius R with the samehandedness. This new hyperuniform fluid features a special length scale, i.e.,the diameter of the circular trajectory of particles, below which large densityfluctuations are observed. By developing a dynamic mean-field theory, we showthat the large local density fluctuations can be explained as amotility-induced microphase separation, while the Fickian diffusion at largelength scales and local center-of-mass-conserved noises are responsible for theglobal hyperuniformity.

Non-Equilibrium Strongly Hyperuniform Fluids of Circle Active Particles with Large Local Density Fluctuations