Wang Yinqiao, Qian Zhuang, Tong Hua, Tanaka Hajime
Research Center for Advanced Science and Technology, The University of Tokyo, Tokyo, Japan.
Department of Physics, University of Science and Technology of China, Hefei, China.
Nat Commun. 2025 Feb 12;16(1):1398. doi: 10.1038/s41467-025-56283-1.
Hyperuniform disordered solids, characterised by unusually suppressed density fluctuations at low wavenumbers (q), are of great interest due to their potentially distinct properties as a unique glass state. From the jamming perspective, there is ongoing debate about the relationship between hyperuniformity and the jamming transition, as well as whether hyperuniformity persists above the jamming point. Here, we successfully generate over-jammed disordered solids exhibiting the strongest class of hyperuniformity, characterised by a power-law density spectrum (q with α = 4). By decompressing both hyperuniform and conventional over-jammed packings to their respective marginally jammed states, we identify protocol-independent exponents: α ≈ 0.25 for density hyperuniformity and α ≈ 2 for contact-number hyperuniformity, both associated with the jamming transition. Although both marginally jammed and conventional over-jammed packings exhibit marginal stability, we demonstrate that hyperuniform over-jammed packings possess exceptional stability across vibrational, kinetic, thermodynamic, and mechanical properties-similar to crystals. These findings suggest that hyperuniform over-jammed packings offer crucial insights into the ideal disordered solid state and stand out as promising candidates for disordered metamaterials, uniquely combining hyperuniformity with ultrastability.
超均匀无序固体在低波数（q）下具有异常抑制的密度涨落，因其作为一种独特玻璃态可能具有的独特性质而备受关注。从堵塞的角度来看，关于超均匀性与堵塞转变之间的关系，以及超均匀性在堵塞点以上是否持续存在，一直存在争论。在这里，我们成功地生成了表现出最强超均匀性的过堵塞无序固体，其特征是幂律密度谱（α = 4时的q）。通过将超均匀和传统过堵塞堆积解压到各自的临界堵塞状态，我们确定了与协议无关的指数：密度超均匀性的α≈0.25，接触数超均匀性的α≈2，两者都与堵塞转变相关。尽管临界堵塞和传统过堵塞堆积都表现出边际稳定性，但我们证明超均匀过堵塞堆积在振动、动力学、热力学和力学性质方面具有与晶体相似的卓越稳定性。这些发现表明，超均匀过堵塞堆积为理想的无序固态提供了关键见解，并作为无序超材料的有前途候选者脱颖而出，将超均匀性与超稳定性独特地结合在一起。
