Intrinsic photonic wave localization in a three-dimensional icosahedral quasicrystal

Jeon, Seung‐Yeol; Kwon, Hyungho; Hur, Kahyun

doi:10.1038/nphys4002

Cited by 27 publications

(20 citation statements)

References 31 publications

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“…Nano‐sized QCs are even more attractive, as they have high strength with ductility and also extraordinary specific strength at room temperature . QCs also have remarkable wave transport properties, including intrinsic photonic wave localization, which results in interesting plasmonic sensing behavior . The above exciting aspects inspired researchers to synthesize QCs involving different bottom‐up approaches based on interconnections of individual atomic/molecular clusters acting as building blocks …”

Section: Introductionmentioning

confidence: 99%

Liquid Exfoliation of Icosahedral Quasicrystals

Yadav

Woellner

Sinha

et al. 2018

Adv Funct Materials

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The realization of quasicrystals has attracted a considerable attention due to their unusual structures and properties. The concept of quasicrystals in the atomically thin materials is even more appealing due to the in-plane covalent bonds and weak interlayer interactions. Here, it is demonstrated that 2D quasicrystals can be created/isolated from bulk phases because of long-range interlayer ordered aperiodic arrangements. An ultrasonication-assisted exfoliation of polygrained icosahedral Al-Pd-Mn quasicrystals at room temperature shows the formation of a large area of mono-and few layers in threefold quasicrystalline plane. The formation of these layers from random grain orientation consistently indicates that the threefold plane is most stable in comparison to the twofold and fivefold planes in icosahedral clusters. The above experimental observations are further supported with help of theoretical simulations. The mono-and few-layered aperiodic planes render plentiful active sites for the catalysis of hydrogen evolution reaction. The threefold 2D quasicrystalline plane exhibits a hydrogen evolution reaction overpotential of ≈100 mV (160 times less than bulk counterpart) and long-term durability. These systems constitute the first demonstration of quasicrystalline monolayer ordering in a free-standing thin layer without requiring the support of periodic or aperiodic substrate.

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Section: Introductionmentioning

confidence: 99%

Liquid Exfoliation of Icosahedral Quasicrystals

Yadav

Woellner

Sinha

et al. 2018

Adv Funct Materials

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“…Observation of Intrinsic Light Localization: Recently, localization in defect-free photonic quasicrystals has been predicted theoretically for the case of 2D and 3D structures [10,33] using finite-difference time-domain methods. Investigated were the light transport properties of icosahedral quasicrystals and woodpile crystals of the same spherical shape and size using optical microscopy and the picosecond pulse propagation delay was analyzed.…”

Section: Observation Of Bragg Diffractionmentioning

confidence: 99%

Experimental Observation of Intrinsic Light Localization in Photonic Icosahedral Quasicrystals

Sinelnik

Shishkin

et al. 2020

Advanced Optical Materials

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A key property of photonic crystals is the existence of energy pseudogaps that arise owing to multiple scattering of photons by lattices with periodically varying refractive indices. For certain photonic structures, pseudogaps merge into a complete band gap in three dimensions leading to the localization of light in a cavity mode. [15,16] In the case of disordered structures, [17] one of the most intriguing properties is the effect of Anderson localization of light, [18] the phenomenon that has been observed in a variety of structures of different dimensions. [19] Historically, the study of Anderson localization has focused on disordered substances, although the possibility of observing localization in perfect quasicrystals has also been discussed. However, the effect was observed only in 2D quasicrystalline structures in the presence of strong disorder [8] or under the action of nonlinearity. [20] Nevertheless, the existence of a clearly defined photonic band structure in 3D icosahedral quasicrystals, [21] the observation of Bragg diffraction, [22] the multiple scattering of light within the structure, [23] and laser generation from dye-doped samples [24] were promising signs for the possibility of an experimental observation of intrinsic light localization in defect-free 3D quasicrystals Figure 1. Additional evidence is a recent report in which intrinsic localization was theoretically predicted in icosahedral quasicrystals. [10] Although the Ioffe-Regel criterion [25] for localization in disordered materials (the wavelength λ becomes comparable to the transport mean free path l * , that is kl * ≤ 1, where k = 2π/λ is the wave vector) is not fulfilled in icosahedral quasicrystals, the authors argued that band flattening at high frequencies of the calculated photonic band structure corresponds to a slower group velocity and a decrease in the scattering mean free path which increases the possibility of wave localization in terms of the Ioffe-Regel condition. [10] Here, to the best of our knowledge, we present the first experimental observation of intrinsic light localization in defect-free 3D quasicrystalline material. In addition, we studied Bragg diffraction in the visible region on the same samples uncovering their regular structure. Sample Fabrication: To fabricate experimental samples, a computer model of an icosahedral quasicrystalline structure was generated first in accordance with the substitution rules. [10] These quasicrystals had icosahedral symmetry with 15 C 2v , 10 C 3v , and 6 C 5v axes, [21] which led to the absence of periodicity, despite the fact that the structures had perfect ordering and regularity. The samples herein consisted of six radial layers

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“…Such an approach greatly simplifies the generation of the icosahedral structure since substitutions and decorations of tiles could be implemented without the need for higher dimensions. Our inflation/deflation rules have been proved useful in the field of photonic quasicrystals [34].…”

Section: Multiple-cell Approachmentioning

confidence: 99%

Looking for alternatives to the superspace description of icosahedral quasicrystals

Madison

2019

Proc. R. Soc. A.

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A multiple-cell approach is discussed as a possible alternative to the higher dimensional crystallography of icosahedral quasicrystals. It is based on the Socolar–Steinhardt tiling combined with the quasi-unit cell model. Quasi-unit cells fill the space without gaps and overlappings similar to those in periodic crystals. Similarly, the atoms can occupy general and special positions. The alloy stoichiometry and the packing density can be calculated through the relative tile frequencies, which in turn are determined as the components of the Perron–Frobenius eigenvector of the corresponding substitution matrix. The calculation of the diffraction pattern reduces to the Perron projection of a special matrix, the entries of which reflect the contribution of each type of quasi-unit cell to the coherent scattering.

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Intrinsic photonic wave localization in a three-dimensional icosahedral quasicrystal

Cited by 27 publications

References 31 publications

Liquid Exfoliation of Icosahedral Quasicrystals

Liquid Exfoliation of Icosahedral Quasicrystals

Experimental Observation of Intrinsic Light Localization in Photonic Icosahedral Quasicrystals

Looking for alternatives to the superspace description of icosahedral quasicrystals

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