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The concept of topological energy bands and their manifestations have been demonstrated in condensed matter systems as a fantastic paradigm toward unprecedented physical phenomena and properties that are robust against disorders. Recent…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Weiwei Zhu , Weiyin Deng , Yang Liu , Jiuyang Lu , Zhi-Kang Lin , Hai-Xiao Wang , Xueqin Huang , Jian-Hua Jiang , Zhengyou Liu

Bichromatic photonic crystal structures are based on the coexistence of two different periodicities in the dielectric constant profile. They are realized starting from a photonic crystal waveguide and modifying the lattice constant only in…

Optics · Physics 2018-08-23 F. Alpeggiani , L. Kuipers

In this paper we address the question how to design photonic crystals that have photonic band gaps around a finite number of given frequencies. In such materials electromagnetic waves with these frequencies can not propagate; this makes…

Spectral Theory · Mathematics 2019-03-07 Markus Holzmann , Vladimir Lotoreichik

Symmetry and topology are two fundamental aspects of many quantum states of matter. Recently, new topological materials, higher-order topological insulators, were discovered, featuring, e.g., bulk-edge-corner correspondence that goes beyond…

In the past a few years, topologically protected mechanical phenomena have been extensively studied in discrete lattices and networks, leading to a rich set of discoveries such as topological boundary/interface floppy modes and states of…

Soft Condensed Matter · Physics 2019-07-16 Kai Sun , Xiaoming Mao

Low-dimensional electronic systems have traditionally been obtained by electrostatically confining electrons, either in heterostructures or in intrinsically nanoscale materials such as single molecules, nanowires, and graphene. Recently, a…

Mesoscale and Nanoscale Physics · Physics 2014-02-12 A. F. Young , J. D. Sanchez-Yamagishi , B. Hunt , S. H. Choi , K. Watanabe , T. Taniguchi , R. C. Ashoori , P. Jarillo-Herrero

Topological insulators, along with Chern insulators and Quantum Hall insulator phases, are considered as paradigms for symmetry protected topological phases of matter. This article reports the experimental realization of the time-reversal…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Priya Tiwari , Saurabh Kumar Srivastav , Sujay Ray , Tanmoy Das , Aveek Bid

We explore a hexagonal cavity that supports chiral topological whispering gallery (CTWG) modes, formed by a gyromagnetic photonic crystal. This mode is a special type of topologically protected optical mode that can propagate in photonic…

Optics · Physics 2023-10-10 Yongqi Chen , Nan Gao , Guodong Zhu , Yurui Fang

Photonic topological insulators provide unprecedented possibilities to eliminate scattering losses and improve the efficiency of optical communication systems. Despite significant theoretical efforts, the experimental demonstration of an…

We investigate Faraday waves on a viscoelastic liquid. Onset measurements and a nonlinear phase diagram for the selected patterns are presented. By virtue of the elasticity of the material a surface resonance synchronous to the external…

patt-sol · Physics 2009-10-31 C. Wagner , H. W. Mueller , K. Knorr

This paper presents experimental evidence of the existence of acoustic valley Hall (AVHE) edge states in topological elastic waveguides. The fundamental lattice is assembled based on a non-resonant unit where space inversion symmetry (SIS)…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Ting-Wei Liu , Fabio Semperlotti

Photonic time crystals are electromagnetic media with periodically time-varying parameters, enabling momentum band gaps, parametric amplification, and frequency conversion beyond what is possible in time-invariant systems. So far, they have…

Optics · Physics 2026-05-15 Z. Li , M. S. Mirmoosa , V. Asadchy , X. Wang

The study of topological states in electronic structures, which allows robust transport properties against impurities and defects, has been recently extended to the realm of elasticity. This work shows that nontrivial topological flexural…

We demonstrate that multiple topological transitions can occur, with high-sensitivity, by continuous change of the geometry of a simple 2D dielectric-frame photonic crystal consisting of circular air-holes. By changing the radii of the…

Optics · Physics 2018-03-01 Xuan Zhu , Hai-Xiao Wang , Changqing Xu , Yun Lai , Jian-Hua Jiang , Sajeev John

Topological insulators are a novel class of quantum materials in which time-reversal symmetry, relativistic (spin-orbit) effects and an inverted band structure result in electronic metallic states on the surfaces of bulk crystals. These…

The recent discovery of topological insulators has revived interest in the topological properties of insulating band structures. In this work, we extend the topological classification of insulating band structures to include certain point…

Materials Science · Physics 2011-03-15 Liang Fu

Topological insulators are a new phase of matter with the distinctive characteristics of an insulating bulk and conducting edge states. Recent theories indicate there even exist topological edge states in the fractal-dimensional lattices,…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Junkai Li , Yeyang Sun , Qingyang Mo , Zhichao Ruan , Zhaoju Yang

Topological photonic insulators show promise for applications in compact integrated photonic circuits due to their ability to transport light robustly through sharp bendings. The number of topological edge states relies on the difference…

Applied Physics · Physics 2024-01-19 Weiyuan Tang , Mudi Wang , Shaojie Ma , C. T. Chan , Shuang Zhang

In this paper the relaxed micromorphic continuum model with weighted free and gradient micro-inertia is used to describe the dynamical behavior of a real two-dimensional phononic crystal for a wide range of wavelengths. In particular, a…

Classical Physics · Physics 2016-10-14 Angela Madeo , Manuel Collet , Marco Miniaci , Kévin Billon , Morvan Ouisse , Patrizio Neff

A fully planar two-dimensional optomechanical crystal formed in a silicon microchip is used to create a structure devoid of phonons in the GHz frequency range. A nanoscale photonic crystal cavity is placed inside the phononic bandgap…

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