  Disordered multihyperuniform many-particle systems are exotic amorphous
states that allow exquisite color sensing capabilities due to their anomalous
suppression of density fluctuations for distinct subsets of particles, as
recently evidenced in photoreceptor mosaics in avian retina. Motivated by this
biological finding, we present the first statistical-mechanical model that
rigorously achieves disordered multihyperuniform many-body systems by tuning
interactions in binary mixtures of non-additive hard-disk plasmas. We
demonstrate that multihyperuniformity competes with phase separation and
stabilizes a clustered phase. Our work provides a systematic means to generate
disordered multihyperuniform solids, enabling one to explore their potentially
novel photonic, phononic, electronic and transport properties.
