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Explore the concept of disordered hyperuniformity (DHU) as a newly proposed state of matter in this comprehensive lecture. Delve into the characteristics of DHU systems, including their vanishing infinite-wavelength normalized density fluctuations and unique physical properties. Examine the discovery of disordered hyperuniformity in atomic-scale two-dimensional materials such as amorphous silica and graphene. Learn about the spectral-density analysis of high-resolution transmission electron microscopy images used to identify DHU in these materials. Investigate the unexpected electronic structures resulting from DHU, including the near-complete closure of the electronic bandgap in silica, as revealed by large-scale density functional theory calculations. Understand how Stone-Wales topological defects preserve hyperuniformity and capture key features of disorder in 2D amorphous materials. This 1-hour and 12-minute talk provides an in-depth look at the fascinating world of disordered hyperuniformity and its implications for material science and physics.
