@article{f2497d95a3764506a5680bf34e9bad30,
title = "Wave propagation and band tails of two-dimensional disordered systems in the thermodynamic limit",
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.",
keywords = "correlated disorder, finite-size effects, hyperuniformity, photonic band gaps, stealthy",
author = "Klatt, {Michael A.} and Steinhardt, {Paul J.} and Salvatore Torquato",
note = "Funding Information: We thank Jaeuk Kim, Ge Zhang, and Mikael Rechtsman for valuable discussions. The Research was sponsored by the Army Research Office and was accomplished under Cooperative Agreement Number W911NF-22-2-0103. M.A.K. acknowledges funding and support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the SPP 2265, under grants numbers ME 1361/16-1, WI 5527/1-1, and LO 418/25-1, as well as by the Volkswagenstiftung via the Experiment Project “Finite Projective Geometry.” The simulations presented in this article were substantially performed on computational resources managed and supported by the Princeton Institute for Computational Science and Engineering (PICSciE). Funding Information: ACKNOWLEDGMENTS. We thank Jaeuk Kim, Ge Zhang, and Mikael Rechtsman for valuable discussions. The Research was sponsored by the Army Research Office and was accomplished under Cooperative Agreement Number W911NF-22-2-0103. M.A.K. acknowledges funding and support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the SPP 2265, under grants numbers ME 1361/16-1, WI 5527/1-1, and LO 418/25-1, as well as by the Volkswagenstiftung via the Experiment Project “Finite Projective Geometry.” The simulations presented in this article were substantially performed on computational resources managed and supported by the Princeton Institute for Computational Science and Engineering (PICSciE). Publisher Copyright: Copyright {\textcopyright} 2022 the Author(s). Published by PNAS.",
year = "2022",
month = dec,
day = "27",
doi = "10.1073/pnas.2213633119",
language = "English (US)",
volume = "119",
journal = "Proceedings of the National Academy of Sciences of the United States of America",
issn = "0027-8424",
publisher = "National Academy of Sciences",
number = "52",
}