Journal articles: 'Hyperuniform disordered materials'

1

Torquato, Salvatore. "Disordered hyperuniform heterogeneous materials." Journal of Physics: Condensed Matter 28, no. 41 (August 22, 2016): 414012. http://dx.doi.org/10.1088/0953-8984/28/41/414012.

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Frusawa, Hiroshi. "Theoretical Basis for Classifying Hyperuniform States of Two-Component Systems." Axioms 14, no. 1 (January 5, 2025): 39. https://doi.org/10.3390/axioms14010039.

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Hyperuniform states of matter exhibit unusual suppression of density fluctuations at large scales, contrasting sharply with typical disordered configurations. Various types of hyperuniformity emerge in multicomponent disordered systems, significantly enhancing their functional properties for advanced applications. This paper focuses on developing a theoretical framework for two-component hyperuniform systems. We provide a robust theoretical basis to identify novel conditions on structure factors for a variety of hyperuniform binary mixtures, classifying them into five distinct types with seven unique states. Our findings also offer valuable guidelines for designing multihyperuniform materials where each component preserves hyperuniformity, added to the overall hyperuniformity.

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Sugahara, Akiko, and Tomonari Dotera. "A basic study on sound absorption characteristics of disordered hyperuniform periodic structures." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 268, no. 3 (November 30, 2023): 5551–60. http://dx.doi.org/10.3397/in_2023_0788.

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Disordered hyperuniform systems are exotic states of matter that cover the intermediate regime between random and periodic structures. Despite appearing disordered and isotropic, they possess a hidden long-range order. Our study aims to develop disordered hyperuniform microperiodic structures that combine short-scale randomness and long-scale periodicity, making them versatile and useful for sound-absorbing materials, such as wall panels. To construct these structures, we generate a large number of three-dimensionally random waves within a specific frequency range, while applying periodic boundary conditions. Using the finite element method, we analyze the sound absorption of the hyperuniform structures. Compared to simple Gaussian random fluctuations, we observe an increase in surface area, resulting in higher airflow resistivity, and a rise in the sound absorption coefficient within the low to mid frequency range.

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Chen, Duyu, Enrique Lomba, and Salvatore Torquato. "Binary mixtures of charged colloids: a potential route to synthesize disordered hyperuniform materials." Physical Chemistry Chemical Physics 20, no. 26 (2018): 17557–62. http://dx.doi.org/10.1039/c8cp02616e.

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Wu, Bi-Yi, Xin-Qing Sheng, and Yang Hao. "Effective media properties of hyperuniform disordered composite materials." PLOS ONE 12, no. 10 (October 5, 2017): e0185921. http://dx.doi.org/10.1371/journal.pone.0185921.

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Lei, Qun-Li, Massimo Pica Ciamarra, and Ran Ni. "Nonequilibrium strongly hyperuniform fluids of circle active particles with large local density fluctuations." Science Advances 5, no. 1 (January 2019): eaau7423. http://dx.doi.org/10.1126/sciadv.aau7423.

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Disordered hyperuniform structures are an exotic state of matter having vanishing long-wavelength density fluctuations similar to perfect crystals but without long-range order. Although its importance in materials science has been brought to the fore in past decades, the rational design of experimentally realizable disordered strongly hyperuniform microstructures remains challenging. Here we find a new type of nonequilibrium fluid with strong hyperuniformity in two-dimensional systems of chiral active particles, where particles perform independent circular motions of the radius R with the same handedness. This new hyperuniform fluid features a special length scale, i.e., the diameter of the circular trajectory of particles, below which large density fluctuations are observed. By developing a dynamic mean-field theory, we show that the large local density fluctuations can be explained as a motility-induced microphase separation, while the Fickian diffusion at large length scales and local center-of-mass-conserved noises are responsible for the global hyperuniformity.

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Chen, D., and S. Torquato. "Designing disordered hyperuniform two-phase materials with novel physical properties." Acta Materialia 142 (January 2018): 152–61. http://dx.doi.org/10.1016/j.actamat.2017.09.053.

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Granchi, Nicoletta. "Scanning Near-Field Optical Microscopy: Recent Advances in Disordered and Correlated Disordered Photonics." Photonics 11, no. 8 (August 6, 2024): 734. http://dx.doi.org/10.3390/photonics11080734.

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Disordered and correlated disordered photonic materials have emerged in the past few decades and have been rapidly proposed as a complementary alternative to ordered photonics. These materials have thrived in the field of photonics, revealing the considerable impact of disorder with and without structural correlations on the scattering, transport, and localization of light in matter. Scanning near-field optical microscopy (SNOM) has proven to be a fundamental tool for the study of the interaction between light and matter at the nanoscale in such systems, allowing for the investigation of optical properties and local electromagnetic fields with extremely high spatial resolution, surpassing the diffraction limit of conventional optical microscopy. In this review, the most important and recent advances obtained for disordered and correlated disordered luminescent structures by means of the aperture SNOM technique are addressed, showing how it allows the tailoring of local density of states (LDOS), as well as providing access to statistical analysis for multi-resonance disordered and hyperuniform disordered structures at telecom wavelengths.

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Granchi, Nicoletta, Richard Spalding, Kris Stokkereit, Matteo Lodde, Andrea Fiore, Riccardo Sapienza, Francesca Intonti, Marian Florescu, and Massimo Gurioli. "Engineering high Q/V photonic modes in correlated disordered systems." EPJ Web of Conferences 266 (2022): 05005. http://dx.doi.org/10.1051/epjconf/202226605005.

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Hyperuniform disordered (HuD) photonic materials have recently been shown to display several localized states with relatively high Q factors. However, their spatial position is not predictable a priori. Here we experimentally benchmark through near-field spectroscopy the engineering of high Q/V resonant modes in a defect inside a HuD pattern. These deterministic modes, coexisting with Anderson-localized modes, are a valid candidate for implementations in optoelectronic devices due to the spatial isotropy of the HuD environment upon which they are built.

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Kim, Jaeuk, and Salvatore Torquato. "Multifunctional composites for elastic and electromagnetic wave propagation." Proceedings of the National Academy of Sciences 117, no. 16 (April 9, 2020): 8764–74. http://dx.doi.org/10.1073/pnas.1914086117.

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Composites are ideally suited to achieve desirable multifunctional effective properties since the best properties of different materials can be judiciously combined with designed microstructures. Here, we establish cross-property relations for two-phase composite media that link effective elastic and electromagnetic wave characteristics to one another, including the respective effective wave speeds and attenuation coefficients, which facilitate multifunctional material design. This is achieved by deriving accurate formulas for the effective electromagnetic and elastodynamic properties that depend on the wavelengths of the incident waves and the microstructure via the spectral density. Our formulas enable us to explore the wave characteristics of a broad class of disordered microstructures because they apply, unlike conventional formulas, to a wide range of incident wavelengths (i.e., well beyond the long-wavelength regime). This capability enables us to study the dynamic properties of exotic disordered “hyperuniform” composites that can have advantages over crystalline ones, such as nearly optimal, direction-independent properties and robustness against defects. We specifically show that disordered “stealthy” hyperuniform microstructures exhibit novel wave characteristics (e.g., low-pass filters that transmit waves “isotropically” up to a finite wavenumber). Our cross-property relations for the effective wave characteristics can be applied to design multifunctional composites via inverse techniques. Design examples include structural components that require high stiffness and electromagnetic absorption; heat sinks for central processing units and sound-absorbing housings for motors that have to efficiently emit thermal radiation and suppress mechanical vibrations; and nondestructive evaluation of the elastic moduli of materials from the effective dielectric response.

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Kim, J., and S. Torquato. "New tessellation-based procedure to design perfectly hyperuniform disordered dispersions for materials discovery." Acta Materialia 168 (April 2019): 143–51. http://dx.doi.org/10.1016/j.actamat.2019.01.026.

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12

Muller, Nicolas, Jakub Haberko, Catherine Marichy, and Frank Scheffold. "Silicon Hyperuniform Disordered Photonic Materials with a Pronounced Gap in the Shortwave Infrared." Advanced Optical Materials 2, no. 2 (December 9, 2013): 115–19. http://dx.doi.org/10.1002/adom.201300415.

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13

Lin, Ronghui, Valerio Mazzone, Nasir Alfaraj, Jianping Liu, Xiaohang Li, and Andrea Fratalocchi. "On‐Chip Hyperuniform Lasers for Controllable Transitions in Disordered Systems." Laser & Photonics Reviews 14, no. 2 (January 15, 2020): 1800296. http://dx.doi.org/10.1002/lpor.201800296.

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14

Kim, Wonkyu, Blake S. Simpkins, Hong Guo, Joshua R. Hendrickson, and Junpeng Guo. "Hyperuniform disordered metal-insulator-metal gap plasmon metasurface near perfect light absorber." Optical Materials Express 11, no. 12 (November 29, 2021): 4083. http://dx.doi.org/10.1364/ome.439586.

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Muller, Nicolas, Jakub Haberko, Catherine Marichy, and Frank Scheffold. "Photonic Materials: Silicon Hyperuniform Disordered Photonic Materials with a Pronounced Gap in the Shortwave Infrared (Advanced Optical Materials 2/2014)." Advanced Optical Materials 2, no. 2 (February 2014): 104. http://dx.doi.org/10.1002/adom.201470009.

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Lin, Ronghui, Valerio Mazzone, Nasir Alfaraj, Jianping Liu, Xiaohang Li, and Andrea Fratalocchi. "On‐Chip Disordered Lasers: On‐Chip Hyperuniform Lasers for Controllable Transitions in Disordered Systems (Laser Photonics Rev. 14(2)/2020)." Laser & Photonics Reviews 14, no. 2 (February 2020): 2070017. http://dx.doi.org/10.1002/lpor.202070017.

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17

Chen, Duyu, Houlong Zhuang, Mohan Chen, Pinshane Y. Huang, Vojtech Vlcek, and Yang Jiao. "Disordered hyperuniform solid state materials." Applied Physics Reviews 10, no. 2 (May 22, 2023). http://dx.doi.org/10.1063/5.0137187.

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Disordered hyperuniform (DHU) states are recently discovered exotic states of condensed matter. DHU systems are similar to liquids or glasses in that they are statistically isotropic and lack conventional long-range translational and orientational order. On the other hand, they completely suppress normalized infinite-wavelength density fluctuations like crystals and, in this sense, possess a hidden long-range correlation. Very recently, there have been several exciting discoveries of disordered hyperuniformity in solid-state materials, including amorphous carbon nanotubes, amorphous 2D silica, amorphous graphene, defected transition metal dichalcogenides, defected pentagonal 2D materials, and medium/high-entropy alloys. It has been found that the DHU states of these materials often possess a significantly lower energy than other disorder models and can lead to unique electronic and thermal transport properties, which results from mechanisms distinct from those identified for their crystalline counterparts. For example, DHU states can enhance electronic transport in 2D amorphous silica; DHU medium/high-entropy alloys realize the Vegard's law and possess enhanced electronic bandgaps and thermal transport at low temperatures. These unique properties open up many promising potential device applications in optoelectronics and thermoelectrics. Here, we provide a focused review on these important new developments of hyperuniformity in solid-state materials, taking an applied and “materials” perspective, which complements the existing reviews on hyperuniformity in physical systems and photonic materials. Future directions and outlook are also provided, with a focus on the design and discovery of DHU quantum materials for quantum information science and engineering.

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Hong, Sungyeon, Can Nerse, Sebastian Oberst, and Mohammad Saadatfar. "Topological mechanical states in geometry-driven hyperuniform materials." PNAS Nexus, November 14, 2024. http://dx.doi.org/10.1093/pnasnexus/pgae510.

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Abstract Disordered hyperuniform materials are increasingly drawing attention due to their unique physical properties, associated with global isotropy and locally broken symmetry, that set them apart from traditional crystalline materials. Using a dynamic space-partitioning process, we generate disordered hyperuniform cellular structures where distinct patterns of pentagonal and heptagonal topological defects emerge within hexagonal domains. The microscopic defect dynamics are guided by local topological transitions, commonly observed in viscoelastic systems. This leads to a reduction in the system's structural entropy as hyperuniformity is attained, marked by the rise and fall of certain locally favored motifs. Further, we introduce an elastic hyperuniform material that exhibits evolving topological mechanical states in the continuum. Through vibration experiments and numerical analysis, we show energy localization around these defects, which is tied to the topological band gaps inherent to our geometry-driven material. We suggest that this robust dynamic mechanism influences a broad spectrum of disordered systems, from synthetic materials to biological structures guided by stigmergic interactions.

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19

Granchi, Nicoletta, Richard Spalding, Kris Stokkereit, Matteo Lodde, Maurangelo Petruzzella, Frank V. Otten, Riccardo Sapienza, Andrea Fiore, Marian Florescu, and Francesca Intonti. "High spatial resolution imaging of light localization in hyperuniform disordered patterns of circular air pores in a dielectric slab." Frontiers in Photonics 4 (June 14, 2023). http://dx.doi.org/10.3389/fphot.2023.1199411.

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Hyperuniform disordered photonic structures are a peculiar category of disordered photonic heterostructures located between random structures and ordered photonic crystals. These materials, thanks to the presence of a photonic bandgap, exhibit the advantages of random and ordered structures since they have been shown to support in a small spatial footprint a high density of Anderson-localized modes, which naturally occur at the bandgap edges with peculiar features like relatively high Q/V ratios. Different localization behaviors have been recently reported in hyperuniform disordered luminescent materials, with a well-established and widely studied design, based on disordered networks. Here, we explore an alternative design, based on circular holes of different sizes hyperuniformely distributed, that we investigate theoretically and experimentally by means of scanning near-field optical microscopy. We report that the spectral features of hyperuniform disordered networks can also be extended to a different design, which, in turn, displays pseudo-photonic bandgaps and light localization. The ability of generating different kinds of hyperuniform disordered photonic systems that share the same theoretical and experimental optical features can largely extend practical potentialities and integration in many optoelectronic applications.

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20

Chen, Duyu, Yu Liu, Yu Zheng, Houlong Zhuang, Mohan Chen, and Yang Jiao. "Disordered hyperuniform quasi-one-dimensional materials." Physical Review B 106, no. 23 (December 23, 2022). http://dx.doi.org/10.1103/physrevb.106.235427.

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21

Torquato, Salvatore. "Extraordinary disordered hyperuniform multifunctional composites." Journal of Composite Materials, August 8, 2022, 002199832211164. http://dx.doi.org/10.1177/00219983221116432.

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A variety of performance demands are being placed on material systems, including desirable mechanical, thermal, electrical, optical, acoustic and flow properties. The purpose of the present article is to review the emerging field of disordered hyperuniform composites and their novel multifunctional characteristics. Disordered hyperuniform media are exotic amorphous states of matter that are characterized by an anomalous suppression of large-scale volume-fraction fluctuations compared to those in “garden-variety” disordered materials. Such unusual composites can have advantages over their periodic counterparts, such as unique or nearly optimal, direction-independent physical properties and robustness against defects. It will be shown that disordered hyperuniform composites and porous media can be endowed with a broad spectrum of extraordinary physical properties, including photonic, phononic, transport, chemical and mechanical characteristics that are only beginning to be discovered.

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22

Amoah, Timothy, and Marian Florescu. "High-Qoptical cavities in hyperuniform disordered materials." Physical Review B 91, no. 2 (January 20, 2015). http://dx.doi.org/10.1103/physrevb.91.020201.

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23

Kim, Jaeuk, and Salvatore Torquato. "Extraordinary Optical and Transport Properties of Disordered Stealthy Hyperuniform Two-Phase Media." Journal of Physics: Condensed Matter, February 9, 2024. http://dx.doi.org/10.1088/1361-648x/ad2802.

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Abstract Disordered stealthy hyperuniform two-phase media are a special subset of hyperuniform structures with novel physical properties due to their hybrid crystal-liquid nature. We have previously shown that the rapidly converging strong-contrast expansion of a linear fractional form of the effective dynamic dielectric constant εe(k1,ω) [Phys. Rev. X 11, 296 021002 (2021)] leads to accurate approximations for both hyperuniform and nonhyperuniform two-phase composite media when truncated at the two-point level for distinctly different types of microstructural symmetries in three dimensions. In this paper, we further elucidate the extraordinary optical and transport properties of disordered stealthy hyperuniform media. Among other results, we provide detailed proofs that stealthy hyperuniform layered and transversely isotropic media are perfectly transparent (i.e., no Anderson localization, in principle) within finitewavenumber intervals through the third-order terms. Remarkably, these results imply that there can be no Anderson localization within the predicted perfect transparency interval in stealthy hyperuniform layered and transversely isotropic media in practicebecause the localization length (associated with only possibly negligibly small higher-order contributions) should be very large compared to any practically large sample size. We further contrast and compare the extraordinary physical properties ofstealthy hyperuniform two-phase layered, transversely isotropic media, and fully 3D isotropic media to other model nonstealthy microstructures, including their attenuationcharacteristics, as measured by the imaginary part of εe (k1 , ω), and transport properties,as measured by the time-dependent diffusion spreadability S(t). We demonstrate thatthere are cross-property relations between them, namely, we quantify how the imaginaryparts of εe(k1,ω) and the spreadability at long times are positively correlated asthe structures span from nonhyperuniform, nonstealthy hyperuniform, and stealthyhyperuniform media. It will also be useful to establish cross-property relations forstealthy hyperuniform media for other wave phenomena (e.g., elastodynamics) as wellas other transport properties. Cross-property relations are generally useful because theyenable one to estimate one property, given a measurement of another property.

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Granchi, Nicoletta, Richard Spalding, Matteo Lodde, Maurangelo Petruzzella, Frank W. Otten, Andrea Fiore, Francesca Intonti, Riccardo Sapienza, Marian Florescu, and Massimo Gurioli. "Near‐Field Investigation of Luminescent Hyperuniform Disordered Materials." Advanced Optical Materials, February 27, 2022, 2102565. http://dx.doi.org/10.1002/adom.202102565.

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25

Zhuang, Houlong, Duyu Chen, Lei Liu, David Keeney, Ge Zhang, and Yang Jiao. "Vibrational Properties of Disordered Stealthy Hyperuniform 1D Atomic Chains." Journal of Physics: Condensed Matter, April 5, 2024. http://dx.doi.org/10.1088/1361-648x/ad3b5c.

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Abstract Disorder hyperuniformity is a recently discovered exotic state of many-body systems that possess a hidden order in between that of a perfect crystal and a completely disordered system. Recently, this novel disordered state has been observed in a number of quantum materials including amorphous 2D graphene and silica, which are endowed with unexpected electronic transport properties. Here, we numerically investigate 1D atomic chain models, including perfect crystalline, disordered stealthy hyperuniform (SHU) as well as randomly perturbed atom packing conﬁgurations to obtain a quantitative understanding of how the unique stealthy hyperuniform disorder aﬀects the vibrational properties of these low-dimensional materials. We ﬁnd that the disordered SHU chains possess lower cohesive energies compared to the randomly perturbed chains, implying their potential reliability in experiments. Our inverse partition ratio (IPR) calculations indicate that the SHU chains can support fully delocalized states just like perfect crystalline chains over a wide range of frequencies, i.e., ω ∈ (0, 100) cm-1, suggesting superior phonon transport behaviors within these frequencies, which was traditionally considered impossible in disordered systems. Interestingly, we observe the emergence of a group of highly localized states associated with ω 200 cm-1, which is characterized by a signiﬁcant peak in the IPR and a peak in phonon density of states at the corresponding frequency, and is potentially useful for decoupling electron and phonon degrees of freedom. These unique properties of disordered SHU chains have implications in the design and engineering of novel quantum materials for thermal and phononic applications.

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Wan, Dian, Ting Li, Si Chen, Weicheng Chen, Haofeng Hu, Sze Yun Set, Shinji Yamashita, et al. "Hyperuniform Disordered Solids with Morphology Engineering." Laser & Photonics Reviews, July 27, 2023. http://dx.doi.org/10.1002/lpor.202300398.

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27

Shutsko, Ivan, Maximilian Buchmüller, Maik Meudt, and Patrick Görrn. "Light‐Controlled Fabrication of Disordered Hyperuniform Metasurfaces." Advanced Materials Technologies, May 31, 2022, 2200086. http://dx.doi.org/10.1002/admt.202200086.

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28

Besana, Rocío Milagros, Federico Elías, Joaquı́n Roberto Puig, Jazmı́n Aragón Sánchez, Gladys Nieva, Alejandro Benedykt Kolton, and Yanina Fasano. "Finite-size effects in hyperuniform vortex matter." Journal of Physics: Condensed Matter, April 5, 2024. http://dx.doi.org/10.1088/1361-648x/ad3b5b.

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Abstract Novel hyperuniform materials are emerging as an active field of applied and basic research since they can be designed to have exceptional physical properties. This ubiquitous state of matter presents a hidden order that is characterized by the density of constituents of the system being uniformat large scales, as in a perfect crystal, although they can be isotropic and disordered like a liquid. In the quest for synthesizing hyperuniform materials in experimental conditions, the impact of finite-size effects remains as an open question to be addressed. We use vortex matter in type-II superconductors as a toy model system to study this issue. We previously reported that vortex matter nucleated in samples with point disorder is effectively hyperuniform and thus presents the interesting physical properties inherent to hyperuniform systems. In this work we present experimental evidence that on decreasing the thickness of the vortex system its hyperuniform order is depleted.By means of hydrodynamic arguments we show that the experimentally observed depletion can be associated to two crossovers that we describe within a hydrodynamic approximation. The first crossover length is thickness-dependent and separates a class-II hyperuniform regime at intermediate lengthscales from a regime that can become asymptotically non-hyperuniform for large wavelengths in very thin samples. The second crossover takes place at smaller lengthscales and marks the onset of a faster increase of density fluctuations due to the dispersivity of the elastic constants. Our work points to a novel mechanism of emerging hyperuniformity controlled by the thickness of the host sample, an issue that has to be taken into account when growing hyperuniform structures for technological applications.

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Klatt, Michael A., Paul J. Steinhardt, and Salvatore Torquato. "Wave propagation and band tails of two-dimensional disordered systems in the thermodynamic limit." Proceedings of the National Academy of Sciences 119, no. 52 (December 20, 2022). http://dx.doi.org/10.1073/pnas.2213633119.

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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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Claude, Jean-Benoît, mohammed bouabdellaoui, Mario Khoury, Jerome Wenger, Monica Bollani, Marco Salvalaglio, and Marco Abbarchi. "Germanium-based nearly hyperuniform nanoarchitectures by ion beam impact." Physica Scripta, September 15, 2023. http://dx.doi.org/10.1088/1402-4896/acfa2d.

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Abstract We address the fabrication of nano-architectures by impacting thin layers of amorphous Ge de-posited on SiO 2 with a Ga + ion beam and investigate the structural and optical properties ofthe resulting patterns. By adjusting beam current and scanning parameters, different classes ofnano-architectures can be formed, from elongated and periodic structures to disordered ones with afootprint of a few tens of nm. The latter disordered case features a significant suppression of largelength scale fluctuations that are conventionally observed in ordered systems and exhibits a nearlyhyperuniform character, as shown by the analysis of the spectral density at small wave vectors. Itdeviates from conventional random fields as accounted for by the analysis of Minkowski functionals.A proof of concept for potential applications is given by showing peculiar reflection properties of theresulting nano-structured films that exhibit colorization and enhanced light absorption with respectto the flat Ge layer counterpart (up to one order of magnitude at some wavelength). This fabrica-tion method for disordered hyperuniform structures does not depend on the beam size. Being ionbeam technology widely adopted in semiconductor foundries over 200 mm wafers, our work providesa viable pathway for obtaining disordered, nearly-hyperuniform materials by self-assembly with afootprint of tens of nanometers for electronic and photonic devices, energy storage and sensing.

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Puig, Joaquín, Federico Elías, Jazmín Aragón Sánchez, Raúl Cortés Maldonado, Gonzalo Rumi, Gladys Nieva, Pablo Pedrazzini, Alejandro B. Kolton, and Yanina Fasano. "Anisotropic suppression of hyperuniformity of elastic systems in media with planar disorder." Communications Materials 3, no. 1 (May 18, 2022). http://dx.doi.org/10.1038/s43246-022-00250-6.

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AbstractDisordered hyperuniform materials with vanishing long-wavelength density fluctuations are attracting attention due to their unique physical properties. In these systems, the large-scale density fluctuations are strongly suppressed as in a perfect crystal, even though the system can be disordered like a liquid. Yet, hyperuniformity can be affected by the different types of quenched disorder unavoidably present in the host medium where constituents are nucleated. Here, we use vortex matter in superconductors as a model elastic system to study how planar correlated disorder impacts the otherwise hyperuniform structure nucleated in samples with weak point disorder. Planes of defects suppress hyperuniformity in an anisotropic fashion: while in the transverse direction to defects the long-wavelength density fluctuations are non-vanishing, in the longitudinal direction they are smaller and the system can eventually recover hyperuniformity for sufficiently thick samples. Our findings stress the need of considering the nature of disorder and thickness-dependent dimensional crossovers in the search for novel hyperuniform materials.

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Aubry, Geoffroy J., Luis S. Froufe-Pérez, Ulrich Kuhl, Olivier Legrand, Frank Scheffold, and Fabrice Mortessagne. "Experimental Tuning of Transport Regimes in Hyperuniform Disordered Photonic Materials." Physical Review Letters 125, no. 12 (September 17, 2020). http://dx.doi.org/10.1103/physrevlett.125.127402.

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33

Granchi, N., M. Lodde, K. Stokkereit, R. Spalding, P. J. van Veldhoven, R. Sapienza, A. Fiore, M. Gurioli, M. Florescu, and F. Intonti. "Near-field imaging of optical nanocavities in hyperuniform disordered materials." Physical Review B 107, no. 6 (February 21, 2023). http://dx.doi.org/10.1103/physrevb.107.064204.

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34

Florescu, Marian, Paul J. Steinhardt, and Salvatore Torquato. "Optical cavities and waveguides in hyperuniform disordered photonic solids." Physical Review B 87, no. 16 (April 10, 2013). http://dx.doi.org/10.1103/physrevb.87.165116.

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35

Chehadi, Zeinab, Mohammed Bouabdellaoui, Mehrnaz Modaresialam, Thomas Bottein, Marco Salvalaglio, Monica Bollani, David Grosso, and Marco Abbarchi. "Scalable Disordered Hyperuniform Architectures via Nanoimprint Lithography of Metal Oxides." ACS Applied Materials & Interfaces, July 29, 2021. http://dx.doi.org/10.1021/acsami.1c05779.

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36

Tsabedze, Sebenzile, Nkosikhona Dlamini, and Simiso K. Khumbulani Mkhonta. "Regularity and resilience of short-range order in uniformly randomized lattices." Journal of Physics Communications, October 11, 2022. http://dx.doi.org/10.1088/2399-6528/ac9954.

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Abstract Randomly perturbed lattice models play a vital role in the exploration of novel quasi-disordered structures such as disordered photonic crystals that combine the coherent optical effects of crystals and the broadband, isotropic power spectra of disordered media. Recent studies have shown that the Bragg scattering peaks of uniformly randomized lattices can be switch-on and -off by increasing the perturbation strength while preserving the long-range order of the underlying lattice. In this work, we investigate the pair correlation statistics of uniformly randomized lattices focusing on the impact of the perturbations on the system's short-range order. We find that locally isotropic perturbations generate disordered structures with resilient hyperuniformity and short-range order. The interplay of these two properties has been discovered to be critical in the design of disordered materials with enhanced photonic band gaps and light absorption. The present study provides an alternative approach for designing partially disordered hyperuniform structures.

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Siedentop, Lukas, Gianluc Lui, Georg Maret, Paul M. Chaikin, Paul J. Steinhardt, Salvatore Torquato, Peter Keim, and Marian Florescu. "Stealthy and hyperuniform isotropic photonic bandgap structure in 3D." PNAS Nexus, September 6, 2024. http://dx.doi.org/10.1093/pnasnexus/pgae383.

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Abstract In photonic crystals the propagation of light is governed by their photonic band structure, an ensemble of propagating states grouped into bands, separated by photonic band gaps. Due to discrete symmetries in spatially strictly periodic dielectric structures their photonic band structure is intrinsically anisotropic. However, for many applications, such as manufacturing artificial structural color materials or developing photonic computing devices, but also for the fundamental understanding of light-matter interactions, it is of major interest to seek materials with long range non-periodic dielectric structures which allow the formation of isotropic photonic band gaps. Here, we report the first ever 3D isotropic photonic band gap for an optimized disordered stealthy hyperuniform structure for microwaves. The transmission spectra are directly compared to a diamond pattern and an amorphous structure with similar node density. The band structure is measured experimentally for all three microwave structures, manufactured by 3D-Laser-printing for meta-materials with refractive index up to ɳ =2.1. Results agree well with finite-difference-time-domain numerical investigations and a priori calculations of the band-gap for the hyperuniform structure: the diamond structure shows gaps but being anisotropic as expected, the stealthy hyperuniform pattern shows an isotropic gap of very similar magnitude, while the amorphous structure does not show a gap at all. Since they are more easily manufactured, prototyping centimeter scaled microwave structures may help optimizing structures in the technologically very interesting region of infrared (IR).

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Gao, Yi, Yang Jiao, and Yongming Liu. "Ultraefficient reconstruction of effectively hyperuniform disordered biphase materials via non-Gaussian random fields." Physical Review E 105, no. 4 (April 11, 2022). http://dx.doi.org/10.1103/physreve.105.045305.

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Haberko, Jakub, Luis S. Froufe-Pérez, and Frank Scheffold. "Transition from light diffusion to localization in three-dimensional amorphous dielectric networks near the band edge." Nature Communications 11, no. 1 (September 25, 2020). http://dx.doi.org/10.1038/s41467-020-18571-w.

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Abstract Localization of light is the photon analog of electron localization in disordered lattices, for whose discovery Anderson received the Nobel prize in 1977. The question about its existence in open three-dimensional materials has eluded an experimental and full theoretical verification for decades. Here we study numerically electromagnetic vector wave transmittance through realistic digital representations of hyperuniform dielectric networks, a new class of highly correlated but disordered photonic band gap materials. We identify the evanescent decay of the transmitted power in the gap and diffusive transport far from the gap. Near the gap, we find that transport sets off diffusive but, with increasing slab thickness, crosses over gradually to a faster decay, signaling localization. We show that we can describe the transition to localization at the mobility edge using the self-consistent theory of localization based on the concept of a position-dependent diffusion coefficient.

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Wang, Haina, and Salvatore Torquato. "Designer pair statistics of disordered many-particle systems with novel properties." Journal of Chemical Physics 160, no. 4 (January 28, 2024). http://dx.doi.org/10.1063/5.0189769.

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The knowledge of exact analytical functional forms for the pair correlation function g2(r) and its corresponding structure factor S(k) of disordered many-particle systems is limited. For fundamental and practical reasons, it is highly desirable to add to the existing database of analytical functional forms for such pair statistics. Here, we design a plethora of such pair functions in direct and Fourier spaces across the first three Euclidean space dimensions that are realizable by diverse many-particle systems with varying degrees of correlated disorder across length scales, spanning a wide spectrum of hyperuniform, typical nonhyperuniform, and antihyperuniform ones. This is accomplished by utilizing an efficient inverse algorithm that determines equilibrium states with up to pair interactions at positive temperatures that precisely match targeted forms for both g2(r) and S(k). Among other results, we realize an example with the strongest hyperuniform property among known positive-temperature equilibrium states, critical-point systems (implying unusual 1D systems with phase transitions) that are not in the Ising universality class, systems that attain self-similar pair statistics under Fourier transformation, and an experimentally feasible polymer model. We show that our pair functions enable one to achieve many-particle systems with a wide range of translational order and self-diffusion coefficients D, which are inversely related to one another. One can design other realizable pair statistics via linear combinations of our functions or by applying our inverse procedure to other desirable functional forms. Our approach facilitates the inverse design of materials with desirable physical and chemical properties by tuning their pair statistics.

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Maher, Charles Emmett, and Salvatore Torquato. "Local order metrics for many-particle systems across length scales." Physical Review Research 6, no. 3 (September 6, 2024). http://dx.doi.org/10.1103/physrevresearch.6.033262.

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Formulating order metrics that sensitively quantify the degree of order/disorder in many-particle systems in d-dimensional Euclidean space Rd across length scales is an outstanding challenge in physics, chemistry, and materials science. Since an infinite set of n-particle correlation functions is required to fully characterize a system, one must settle for a reduced set of structural information, in practice. We initiate a program to use the local number variance σN2(R) associated with a spherical sampling window of radius R (which encodes pair correlations) and an integral measure derived from it ΣN(Ri,Rj) that depends on two specified radial distances Ri and Rj. Across the first three space dimensions (d=1,2,3), we find these metrics can sensitively describe and categorize the degree of order/disorder of 41 different models of antihyperuniform, nonhyperuniform, disordered hyperuniform, and ordered hyperuniform many-particle systems at a specified length scale R. Using our local variance metrics, we demonstrate the importance of assessing order/disorder with respect to a specific value of R. These local order metrics could also aid in the inverse design of structures with prescribed length-scale-specific degrees of order/disorder that yield desired physical properties. In future work, it would be fruitful to explore the use of higher-order moments of the number of points within a spherical window of radius R [S. Torquato , ] to devise even more sensitive order metrics. Published by the American Physical Society 2024

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Díaz-Pozuelo, Antonio, Diego González-Salgado, and Enrique Lomba. "On the build-up of effective hyperuniformity from large globular colloidal aggregates." Journal of Chemical Physics 162, no. 7 (February 21, 2025). https://doi.org/10.1063/5.0249688.

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A simple three-dimensional model of a fluid whose constituent particles interact via a short range attractive and long range repulsive potential is used to model the aggregation into large spherical-like clusters made up of hundreds of particles. The model can be thought of as a straightforward rendition of colloid flocculation into large spherical aggregates. We illustrate how temperature and particle density influence the cluster size distribution and affect inter- and intra-cluster dynamics. The system is shown to exhibit two well separated length and time scales, which can be tuned by the balance between repulsive and attractive forces. Interestingly, cluster aggregates at moderate/low temperatures approach a cluster glassy phase, whereas cluster particles retain a local liquid-like structure. These states present a strong suppression of density fluctuations for a significant range of relatively large wavelengths, meeting the criterion of effective disordered hyperuniform materials as far as the intercluster structure is concerned.

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Shi, Wenlong, Yang Jiao, and Salvatore Torquato. "Three-dimensional construction of hyperuniform, nonhyperuniform, and antihyperuniform disordered heterogeneous materials and their transport properties via spectral density functions." Physical Review E 111, no. 3 (March 21, 2025). https://doi.org/10.1103/physreve.111.035310.

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Florescu, Marian, Paul J. Steinhardt, and Salvatore Torquato. "Publisher's Note: Optical cavities and waveguides in hyperuniform disordered photonic solids [Phys. Rev. B87, 165116 (2013)]." Physical Review B 87, no. 15 (April 22, 2013). http://dx.doi.org/10.1103/physrevb.87.159908.

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Kim, Jaeuk, and salvatore torquato. "Theoretical Prediction of the Effective Dynamic Dielectric Constant of Disordered Hyperuniform Anisotropic Composites Beyond the Long-Wavelength Regime." Optical Materials Express, December 7, 2023. http://dx.doi.org/10.1364/ome.507918.

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Torquato, Salvatore, Murray Skolnick, and Jaeuk Kim. "Local order metrics for two-phase media across length scales." Journal of Physics A: Mathematical and Theoretical, May 24, 2022. http://dx.doi.org/10.1088/1751-8121/ac72d7.

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Abstract The capacity to devise order metrics to characterize and classify microstructures of multiphase heterogeneous media across length scales is an outstanding but highly challenging task, given the richness of the possible geometries and topologies of the phases that can arise. This investigation initiates a program to formulate order metrics to characterize the degree of order/disorder of the microstructures of two-phase media in $d$-dimensional Euclidean space $\mathbb{R}^d$ across length scales. In particular, we propose the use of the local volume-fraction variance $\sigma^2_{_V}(R)$ associated with a spherical window of radius $R$ as an order metric. We determine $\sigma^2_{_V}(R)$ as a function of $R$ for 22 different models across the first three space dimensions, including both hyperuniform and nonhyperuniform systems with varying degrees of short- and long-range order. We find that the local volume-fraction variance as well as asymptotic coefficients and integral measures derived from it provide reasonably robust and sensitive order metrics to categorize disordered and ordered two-phase media across all length scales. Such order metrics could be employed to accelerate the discovery of novel heterogeneous materials by tailoring their degree of order/disorder.

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Journal articles on the topic 'Hyperuniform disordered materials'

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