Existence of Nonequilibrium Glasses in the Degenerate Stealthy Hyperuniform Ground-State Manifold

Abstract

Stealthy interactions are an emerging class of nontrivial, bounded long-ranged oscillatory pair potentials with classical ground states that can be disordered, hyperuniform, and infinitely degenerate. Their hybrid crystal-liquid nature endows them with novel physical properties with advantages over their crystalline counterparts. Here, we show the existence of nonequilibrium hard-sphere glasses within this unusual ground-state manifold as the stealthiness parameter $\chi$ tends to zero that are remarkably configurationally extremely close to hyperuniform 3D maximally random jammed (MRJ) sphere packings. The latter are prototypical glasses since they are maximally disordered, perfectly rigid, and perfectly nonergodic. Our optimization procedure, which leverages the maximum cardinality of the infinite ground-state set, not only guarantees that our packings are hyperuniform with the same structure-factor scaling exponent as the MRJ state, but they share other salient structural attributes, including a packing fraction of $0.638$, a mean contact number per particle of 6, gap exponent of $0.44(1)$, and pair correlation functions $g_2(r)$ and structures factors $S(k)$ that are virtually identical to one another for all $r$ and $k$, respectively. Moreover, we demonstrate that stealthy hyperuniform packings can be created within the disordered regime ($0<\chi <1/2$) with heretofore unattained maximal packing fractions. As $\chi$ increases from zero, they always form interparticle contacts, albeit with sparser contact networks as $\chi$ increases from zero, resulting in linear polymer-like chains of contacting particles with increasingly shorter chain lengths. The capacity to generate ultradense stealthy hyperuniform packings for all $\chi$ opens up new materials applications in optics and acoustics.

10 pages, 7 figures

References in corpus (22)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Designer disordered materials with large complete photonic band gaps
• Hyperuniformity of critical absorbing states
• Quantum phases of Rydberg atoms on a kagome lattice
• Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials
• Universal microstructure and mechanical stability of jammed packings
• Point processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory
• Robust Algorithm to Generate a Diverse Class of Dense Disordered and Ordered Sphere Packings via Linear Programming
• Transport, Geometrical and Topological Properties of Stealthy Disordered Hyperuniform Two-Phase Systems
• Hyperuniformity of Quasicrystals
• Stealth acoustic materials
• Structural Characterization of Many-Particle Systems on Approach to Hyperuniform States
• 50 years of quantum spin liquids
• Hyperuniformity of Maximally Random Jammed Packings of Hyperspheres Across Spatial Dimensions
• Generating large disordered stealthy hyperuniform systems with ultra-high accuracy to determine their physical properties
• Near-field imaging of optical nano-cavities in Hyperuniform disordered materials
• Fast Generation of Spectrally-Shaped Disorder
• Anomalous suppression of large-scale density fluctuations in classical and quantum spin liquids
• Persistent homology and topological statistics of hyperuniform point clouds
• Dynamical properties of particulate composites derived from ultradense stealthy hyperuniform sphere packings
• Correlations in interacting electron liquids: Many-body statistics and hyperuniformity

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