Disorder, which qualitatively describes some measure of irregularities in spatial patterns, is
ubiquitous in many-body systems, equilibrium and non-equilibrium states of matter, network …

Hyperuniform states of matter are correlated systems that are characterized by an
anomalous suppression of long-wavelength (ie, large-length-scale) density fluctuations …

The expressive power of Graph Neural Networks (GNNs) has been studied extensively
through the Weisfeiler-Leman (WL) graph isomorphism test. However, standard GNNs and …

Topological insulators constitute a newly characterized state of matter that contains scatter-
free edge states surrounding an insulating bulk. Conventional wisdom regards the insulating …

Liquids and solids are two fundamental states of matter. However, our understanding of their
three-dimensional atomic structure is mostly based on physical models. Here we use atomic …

Quantum states of quasiparticles in solids are dictated by symmetry. We have experimentally
demonstrated quantum states of Dirac electrons in a two-dimensional quasicrystal without …

How do scientific disciplines evolve? This is one of the fundamental problems of the
dynamics of science. This study confronts this problem here by investigating the evolution of …

We have observed a metallic solid (Al-14-at.%-Mn) with long-range orientational order, but
with icosahedral point group symmetry, which is inconsistent with lattice translations. Its …

Diffusion in disordered systems does not follow the classical laws which describe transport
in ordered crystalline media, and this leads to many anomalous physical properties. Since …

The physics of periodic systems are of fundamental importance and result in various
phenomena that govern wave transport and interference. However, deviations from …