Structural glasses formed by quenching a melt are known to host a population of low-energy
quasilocalized (nonphononic) excitations whose frequencies ω follow a universal∼ ω 4 …

Jamming criticality defines a universality class that includes systems as diverse as glasses,
colloids, foams, amorphous solids, constraint satisfaction problems, neural networks, etc. A …

We report experimental evidence of a Gardner-like crossover from variable to persistent
force contacts in a two-dimensional bidisperse granular crystal by analyzing the variability of …

We present a universal characterization of stress correlations in athermal systems, across
crystalline to amorphous packings. Via numerical analysis of static configurations of particles …

The application of the replica method to the analysis of mean-field models of packings of
particles has allowed the construction of a theory of amorphous solids in infinite dimensions …

We introduce a perturbation expansion for athermal systems that allows an exact
determination of displacement fields away from the crystalline state as a response to …

We derive exact results for the fluctuations in energy produced by microscopic disorder in
near-crystalline athermal systems. Our formalism captures the heterogeneity in the elastic …

We derive exact results for correlations in the displacement fields {δ r}≡{δ r μ= x, y} in near-
crystalline athermal systems in two dimensions. We analyze the displacement correlations …

By randomly pinning particles in fluidized states and finding the local energy minima, we
form static packings of mono-disperse disks that resemble random close packing, when only …

We derive exact results for stress correlations in near-crystalline systems in two and three
dimensions. We study energy minimized configurations of particles interacting through …