Giant density fluctuations in locally hyperuniform states

Anomalous density fluctuations in active or driven systems may follow divergent paths. While ordered active matter is notoriously characterized by giant density fluctuations, athermal systems close to an absorbing phase transition can suppress fluctuations, resulting in hyperuniform states. Here, we introduce a minimal model to study the interplay between these two seemingly incompatible phenomena. We demonstrate that when active nematics is coupled to an absorbing phase transition, the resulting density fluctuations exhibit a novel crossover between enhancement and suppression, emerging at different length scales. This work opens avenues to understand the interplay between activity, nematic order and absorbing phase transitions.