Computational design of anisotropic stealthy hyperuniform composites with engineered directional scattering properties

Shi, Wenlong; Keeney, David; Chen, Duyu; Jiao, Yang; Torquato, Salvatore

doi:10.1103/physreve.108.045306

Cited by 4 publications

(1 citation statement)

References 140 publications

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“…Many disordered hyperuniform materials, especially the SHU ones, are found to possess superior physical properties including large isotropic photonic band gaps [50][51][52], optimized transport properties [53][54][55][56], mechanical properties [57], wave-propagation characteristics [55,[58][59][60], scattering properties [61,62], as well as optimal multi-functionalities [63]. Very recently, quasi-1D and 1D disordered hyperuniform systems have been investigated, including defected nanotubes [47] as well as certain 1D quasi-periodic models including the tight-binding Fibonacci models and the Aubry-Andre-Harper model [40].…”

Section: Introductionmentioning

confidence: 99%

Vibrational properties of disordered stealthy hyperuniform 1D atomic chains

Zhuang,

Chen,

Liu

et al. 2024

J. Phys.: Condens. Matter

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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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Section: Introductionmentioning

confidence: 99%

Vibrational properties of disordered stealthy hyperuniform 1D atomic chains

Zhuang,

Chen,

Liu

et al. 2024

J. Phys.: Condens. Matter

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Universal Hyperuniform Organization in Looped Leaf Vein Networks

Liu,

Chen,

Tian

et al. 2024

Phys. Rev. Lett.

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Theoretical prediction of the effective dynamic dielectric constant of disordered hyperuniform anisotropic composites beyond the long-wavelength regime [Invited]

Kim,

Torquato

2023

Opt. Mater. Express

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Torquato and Kim [Phys. Rev. X 11, 296 021002 (2021)10.1103/PhysRevX.11.021002] derived exact nonlocal strong-contrast expansions of the effective dynamic dielectric constant tensor ε e (k q ,ω) that treat general statistically anisoropic three-dimensional (3D) two-phase composite microstructures, which are valid well beyond the long-wavelength regime. Here, we demonstrate that truncating this general rapidly converging expansion at the two- and three-point levels is a powerful theoretical tool from which one can extract accurate approximations suited for various microstructural symmetries. Among other results, we show that such truncations yield closed-form formulas applicable to transverse polarization in layered media and transverse magnetic polarization in transversely isotropic media, respectively. We apply these formulas to estimate ε e (k q ,ω) for models of 3D disordered hyperuniform layered and transversely isotropic media: nonstealthy hyperuniform media and stealthy hyperuniform media. In particular, we show that stealthy hyperuniform layered and transversely isotropic media are perfectly transparent (trivially implying no Anderson localization, in principle) within finite wave number intervals through the third-order terms. For all models considered here, we validate that the second-order formulas, which depend on the spectral density, are already very accurate well beyond the long-wavelength regime by showing very good agreement with the finite-difference time-domain (FDTD) simulations. The high predictive power of the second-order formula is due to the fact that higher-order contributions are negligibly small, implying that it very accurately approximates multiple scattering through all orders. This implies 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. Our predictive theory provides the foundation for the inverse design of novel effective wave characteristics of disordered and statistically anisotropic structures by engineering their spectral densities.

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Computational design of anisotropic stealthy hyperuniform composites with engineered directional scattering properties

Cited by 4 publications

References 140 publications

Vibrational properties of disordered stealthy hyperuniform 1D atomic chains

Vibrational properties of disordered stealthy hyperuniform 1D atomic chains

Universal Hyperuniform Organization in Looped Leaf Vein Networks

Theoretical prediction of the effective dynamic dielectric constant of disordered hyperuniform anisotropic composites beyond the long-wavelength regime [Invited]

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