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Proceedings of the National Academy of Sciences of the United States of America|November 18, 2009
Designer disordered materials with large, complete photonic band gapsMarian Florescu, Salvatore Torquato, Paul J SteinhardtPNAS Nexus|September 27, 2024
Stealthy and hyperuniform isotropic photonic band gap structure in 3DLukas Siedentop, Gianluc Lui, Georg Maret, et al.Physical Review Letters|June 30, 2018
Light Localization in Local Isomorphism Classes of QuasicrystalsChaney Lin, Paul J Steinhardt, Salvatore TorquatoPhysical Review. E|November 18, 2025
Quantifying when hyperuniformity of a many-particle system leads to uniformity across length scalesCarlo Vanoni, Paul J Steinhardt, Salvatore TorquatoPhysical Review Letters|July 30, 2021
Gap Sensitivity Reveals Universal Behaviors in Optimized Photonic Crystal and Disordered NetworksMichael A Klatt, Paul J Steinhardt, Salvatore TorquatoProceedings of the National Academy of Sciences of the United States of America|December 20, 2022
Wave propagation and band tails of two-dimensional disordered systems in the thermodynamic limitMichael A Klatt, Paul J Steinhardt, Salvatore TorquatoProceedings of the National Academy of Sciences of the United States of America|November 8, 2019
Phoamtonic designs yield sizeable 3D photonic band gapsMichael A Klatt, Paul J Steinhardt, Salvatore TorquatoPhysical Review. E|August 19, 2025
Dynamical properties of particulate composites derived from ultradense stealthy hyperuniform sphere packingsCarlo Vanoni, Jaeuk Kim, Paul J Steinhardt, et al.Scientific Reports|January 1, 2020
Hyperuniform disordered waveguides and devices for near infrared silicon photonicsMilan M Milošević, Weining Man, Geev Nahal, et al.Physical Review. E|July 18, 2024
Hyperuniformity classes of quasiperiodic tilings via diffusion spreadabilityAdam Hitin-Bialus, Charles Emmett Maher, Paul J Steinhardt, et al.Pageof 19