Disordered hyperuniformity (DHU) is a recently discovered novel state of many-body systems that possesses vanishing normalized infinite-wavelength density fluctuations similar to a perfect crystal and an amorphous structure like a liquid or glass. Here, we discover a hyperuniformity-preserving topological transformation in two-dimensional (2D) network structures that involves continuous introduction of Stone–Wales (SW) defects. Specifically, the static structure factor S(k) of the resulting defected networks possesses the scaling S(k)∼kα for small wave number k, where 1≤α(p)≤2 monotonically decreases as the SW defect concentration p increases, reaches α≈1 at p≈0.12, and remains almost flat beyond this p. Our findings have important implications for amorphous 2D materials since the SW defects are well known to capture the salient feature of disorder in these materials. Verified by recently synthesized single-layer amorphous graphene, our network models reveal unique electronic transport mechanisms and mechanical behaviors associated with distinct classes of disorder in 2D materials.

无序超均匀性 (DHU) 是最近发现的多体系统的一种新状态，它具有消失的归一化无限波长密度波动，类似于完美的晶体和无定形结构，如液体或玻璃。在这里，我们发现了二维（2D）网络结构中的保持超均匀性的拓扑变换，其中涉及不断引入斯通威尔士（SW）缺陷。具体来说，静态结构因子小号(ķ)由此产生的缺陷网络具有可扩展性小号(ķ)～ķα对于小波数 k，其中1≤α(p)≤2随着 SW 缺陷浓度 p 的增加单调减少，达到α≈1在p≈0.12，并且在这个 p 之外几乎保持平坦。我们的研究结果对非晶二维材料具有重要意义，因为众所周知，SW 缺陷可以捕捉这些材料中无序的显着特征。通过最近合成的单层无定形石墨烯验证，我们的网络模型揭示了与二维材料中不同类别的无序相关的独特电子传输机制和机械行为。