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Aperiodic (quasicrystalline) tilings, such as Penrose's tiling, can be built up from e.g. kites and darts, squares and equilateral triangles, rhombi or shield shaped tiles and can have a variety of different symmetries. However, almost all…

软凝聚态物质 · 物理学 2022-10-17 Andrew J. Archer , Tomonari Dotera , Alastair M. Rucklidge

Quasicrystals are intriguing ordered structures characterized by the lack of translational symmetry and the existence of rotational symmetry. The tiling of different geometric units such as triangles and squares in two-dimensional space can…

软凝聚态物质 · 物理学 2024-10-11 Xin Wang , An-Chang Shi , Pingwen Zhang , Kai Jiang

A rod-type photonic crystal (PC) with a rectangular lattice shows a large-angle quasi-self-collimation (quasi-SC) effect by changing the symmetry of its rectangular lattice to straighten one of the isofrequency contours. To investigate the…

光学 · 物理学 2015-02-04 Ming Li , Wei Li , Haiyang Huang , Jing Wang , You Li , Aimin Wu , Zhen Sheng , Xi Wang , Shichang Zou , Fuwan Gan

Despite the steady advancements in nanofabrication made over the past decade that had prompted a plethora of intriguing applications across various fields, achieving compatibility between miniaturized photonic devices and electronic…

Using the unitarity and reciprocity properties of the scattering matrix, we analyse the symmetry and resonant optical properties of the photonic crystal slabs (PCS) with complicated unit cell. We show that the reflectivity is not changed…

其他凝聚态物理 · 物理学 2009-11-10 N. A. Gippius , S. G. Tikhodeev , T. Ishihara

We argue that 2D dodecagonal spherical quasicrystalls (QCs) will be discovered in the nearest future and investigate how the planar QC order becomes compatible with the spherical geometry. We show that the appearance of curvature-induced…

软凝聚态物质 · 物理学 2014-09-08 I. A. Shevchenko , O. V. Konevtsova , S. B. Rochal

We propose a means to realize two-dimensional quasiperiodic structures by trapping atoms in an optical potential. The structures have eight-fold symmetry and are closely related to the well-known quasiperiodic octagonal (Ammann-Beenker)…

量子气体 · 物理学 2013-12-18 Anuradha Jagannathan , Michel Duneau

Dodecagonal bilayer graphene quasicrystal has 12-fold rotational order but lacks translational symmetry which prevents the application of band theory. In this paper, we study the electronic and optical properties of graphene quasicrystal…

介观与纳米尺度物理 · 物理学 2019-12-16 Guodong Yu , Zewen Wu , Zhen Zhan , Mikhail I. Katsnelson , Shengjun Yuan

Expanding the library of self-assembled superstructures provides insight into the behavior of atomic crystals and supports the development of materials with mesoscale order. Here we build upon recent findings of soft matter quasicrystals…

We present a general method for the design of 2-dimensional nonlinear photonic quasicrystals that can be utilized for the simultaneous phase-matching of arbitrary optical frequency-conversion processes. The proposed scheme--based on the…

材料科学 · 物理学 2007-05-23 Ron Lifshitz , Ady Arie , Alon Bahabad

Optical interference holography has been proved to be a useful technique in fabricating periodic photonic crystals in which electromagnetic waves are forbidden in certain frequency bandgaps. Compared to periodic crystals quasicrystals,…

光学 · 物理学 2009-11-13 Wing Yim Tam

Sub-wavelength thick photonic crystal (PhC) slabs coupled to 2D excitonic materials, such as transition metal dichalcogenides (TMDs), are a promising platform for highly tunable, room-temperature, on-chip optoelectronic devices. Unlike…

Quantum states of quasiparticles in solids are dictated by symmetry. Thus, a discovery of unconventional symmetry can provide a new opportunity to reach a novel quantum state. Recently, Dirac and Weyl electrons have been observed in…

A general approach to the analysis of optical properties of photonic crystals based on multiple-quantum-well structures is developed. The effect of the polarization state and a non-perpendicular incidence of the electromagnetic wave is…

介观与纳米尺度物理 · 物理学 2013-05-20 M. V. Erementchouk , L. I. Deych , A. A. Lisyansky

If an object is very small in size compared with the wavelength of light, it does not scatter light efficiently. It is hence difficult to detect a very small object with light. We show using analytic theory as well as full wave numerical…

光学 · 物理学 2015-10-20 Meng Xiao , Xueqin Huang , H. Liu , C. T. Chan

Quasi-crystals are intriguing as they exhibit rotational symmetry and long range ordering but lack translational symmetry. 2-dimensional metal-dielectric patterns are interesting to make use of surface plasmon polariton (SPP) mediated local…

Recently, there has been plenty of work in designing and fabricating materials with an effective negative refractive index. Veselago realized that a slab of material with a refractive index of -1 would act as a lens. Pendry suggested that…

最优化与控制 · 数学 2008-03-11 David C. Dobson , Lyubima B. Simeonova

Two well-known methods for the design of quasicrystal models are used to create novel nonlinear optical devices. These devices are useful for efficient three-wave mixing of several different processes, and therefore offer greater…

材料科学 · 物理学 2009-11-13 Alon Bahabad , Ron Lifshitz , Noa Voloch , Ady Arie

Some of the most remarkable tilings and discrete quasiperiodic sets used in quasicrystal physics can be obtained by using strip projection method in a superspace of dimension four, five or six, and the projection of a unit hypercube as a…

数学物理 · 物理学 2009-11-11 Nicolae Cotfas

We describe a way to obtain a two-dimensional quasiperiodic tiling with eight-fold symmetry using cold atoms. A series of such optical tilings, related by scale transformations, is obtained for a series of specific values of the chemical…

量子气体 · 物理学 2016-09-29 Nicolas Macé , Anuradha Jagannathan , Michel Duneau