ArticleProceedings of the National Academy of Sciences of the United States of America2022
Wave propagation and band tails of two-dimensional disordered systems in the thermodynamic limit.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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6 citing papers in PubMed.
- Non-Hermitian Stealthy Hyperuniformity.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- The emergence of amorphous materials approaching the single-layer limit.Chemical science · 2025Review
- Hypersonic acoustic wave control via stealthy hyperuniform phononic nanostructures.Science advances · 2025Article
- Deep-subwavelength engineering of stealthy hyperuniformity.Nanophotonics (Berlin, Germany) · 2025Article
- Anomalous suppression of large-scale density fluctuations in classical and quantum spin liquids.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
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3 authors.
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Abstract
Understanding the nature and formation of band gaps associated with the propagation of electromagnetic, electronic, or elastic waves in disordered materials as a function of system size presents fundamental and technological challenges. In particular, a basic question is whether band gaps in disordered systems exist in the thermodynamic limit. To explore this issue, we use a two-stage ensemble approach to study the formation of complete photonic band gaps (PBGs) for a sequence of increasingly large systems spanning a broad range of two-dimensional photonic network solids with varying degrees of local and global order, including hyperuniform and nonhyperuniform types. We discover that the gap in the density of states exhibits exponential tails and the apparent PBGs rapidly close as the system size increases for nearly all disordered networks considered. The only exceptions are sufficiently stealthy hyperuniform cases for which the band gaps remain open and the band tails exhibit a desirable power-law scaling reminiscent of the PBG behavior of photonic crystals in the thermodynamic limit.
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