Zheng Yuanjian, Parmar Anshul D S, Pica Ciamarra Massimo
Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore.
Laboratoire Charles Coulomb (L2C), Universit de Montpellier, CNRS, 34095 Montpellier, France.
Phys Rev Lett. 2021 Mar 19;126(11):118003. doi: 10.1103/PhysRevLett.126.118003.
Disordered hyperuniformity is a description of hidden correlations in point distributions revealed by an anomalous suppression in fluctuations of local density at various coarse-graining length scales. In the absorbing phase of models exhibiting an active-absorbing state transition, this suppression extends up to a hyperuniform length scale that diverges at the critical point. Here, we demonstrate the existence of additional many-body correlations beyond hyperuniformity. These correlations are hidden in the higher moments of the probability distribution of the local density and extend up to a longer length scale with a faster divergence than the hyperuniform length on approaching the critical point. Our results suggest that a hidden order beyond hyperuniformity may generically be present in complex disordered systems.
无序超均匀性是对各种粗粒化长度尺度下局部密度涨落的反常抑制所揭示的点分布中隐藏相关性的一种描述。在表现出活性-吸收态转变的模型的吸收相中，这种抑制一直延伸到在临界点发散的超均匀长度尺度。在这里，我们证明了超均匀性之外还存在额外的多体相关性。这些相关性隐藏在局部密度概率分布的高阶矩中，并且在接近临界点时延伸到比超均匀长度尺度更长的长度尺度，且发散速度更快。我们的结果表明，超均匀性之外的隐藏序可能普遍存在于复杂无序系统中。
