Hyperuniformity in cyclically driven glasses

We present a numerical investigation of the density fluctuations in a model glass under cyclic shear deformation conditions. We demonstrate that in our model glass, the compressibility is suppressed in inherently minimally energetic structures, showing a hyperuniform trend at a density which is below the critical jamming density. At low shear amplitudes, i.e. below the yield amplitude, the system reaches an absorbent steady state in which density fluctuations are suppressed, revealing the clear fingerprint of hyperuniformity up to a finite length scale. The opposite scenario is observed above the yield amplitude, where density fluctuations are strongly enhanced. We demonstrate that the transition to this state is accompanied by a spatial phase separation into two distinct hyperuniform regions, as a consequence of shear band formation at amplitudes greater than the yield amplitude.