Interplay of Hexatic Order and Hyperuniformity in Model Biological Tissues

Hyperuniformity and hexatic order represent two distinct forms of organization in many-body systems, characterized respectively by suppressed long-wavelength density fluctuations and quasi-long-range bond-orientational order. Both phenomena have recently been observed in models of confluent biological tissues, where collective cell dynamics can drive transitions between solidlike and fluidlike states. We explore the relationship between hyperuniformity and hexatic order in such active tissue systems, and whether the same mechanisms that control topological defect dynamics and orientational order might also regulate density fluctuations and hyperuniformity.