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The Voronoi model is a popular tool for studying confluent living tissues. Itexhibits an anomalous glassy behavior even at very low temperatures or weakactive self-propulsion, and at zero temperature the model exhibits a disorderedsolid structure with no evidence of a rigidity transition. Here we investigatethe properties of the energy landscape in this limit. We find two disorderedsolid phases that have similar structural features but that differ in theultrametricity of their energy landscapes; the crossover between these twostates shares phenomenological properties with a Gardner transition. We furtherhighlight how the metric used to calculate distances between configurationsinfluences the ability to detect hierarchical arrangements of basins in theenergy landscape.

Hierarchical structure of the energy landscape in the Voronoi model of dense tissue