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We present a multiple scattering analysis of robust interface states for flexural waves in thin elastic plates. We show that finite clusters of linear arrays of scatterers built on a quasi-periodic arrangement support bounded modes in the…

Applied Physics · Physics 2024-06-12 Marc Martí-Sabaté , Dani Torrent

In this Book Chapter (invited) we briefly review the basic concepts defining topological insulators and focus on elaborating on the key experimental results that revealed and established their symmetry protected (SPT) topological nature. We…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 M. Zahid Hasan , Su-Yang Xu , Madhab Neupane

The study of dissipative systems has attracted great attention, as dissipation engineering has become an important candidate towards manipulating light in classical and quantum ways. Here,we investigate the behavior of a topological system…

Optics · Physics 2024-01-22 Zhaohui Dong , Xianfeng Chen , Avik Dutt , Luqi Yuan

The existence of trapped modes in coupled electromagnetic waveguides is experimentally investigated for configurations with different degrees of symmetry supporting hybrid modes. The occurrence of confined solutions in such open geometries…

Instrumentation and Detectors · Physics 2009-11-11 G. Annino , H. Yashiro , M. Cassettari , M. Martinelli

We demonstrate that a bianisotropic response associated with a broken mirror symmetry of a dielectric resonator allows opening a band gap in simple square lattice arrays of such resonators. Realizing the proposed system as an array of…

We present a reconfigurable topological photonic system consisting of a 2D lattice of coupled ring resonators, with two sublattices of site rings coupled by link rings, which can be accurately described by a tight-binding model. Unlike…

Optics · Physics 2018-07-17 Daniel Leykam , S. Mittal , M. Hafezi , Y. D. Chong

Recently realized higher order topological insulators have taken a surge of interest among the theoretical and experimental condensed matter community. The two-dimensional second order topological insulators give rise to zero-dimensional…

Mesoscale and Nanoscale Physics · Physics 2020-10-29 R. Banerjee , S. Mandal , T. C. H. Liew

Recent experiments on temporal reflection in transmission line metamaterials and theoretical treatments of dispersive time-varying media have unearthed the fundamental role of modulation mechanisms on the interface conditions, underpinning…

Optics · Physics 2026-02-27 Suat Barış İplikçioğlu

We introduce an effective edge network theory to characterize the boundary topology of coupled edge states generated from various types of topological insulators. Two examples studied are a two-dimensional second-order topological insulator…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Yan-Qi Wang , Joel E. Moore

Topological order has been proposed to go beyond Landau symmetry breaking theory for more than twenty years. But it is still a challenging problem to generally detect it in a generic many-body state. In this paper, we will introduce a…

Strongly Correlated Electrons · Physics 2014-11-19 Huan He , Heidar Moradi , Xiao-Gang Wen

Topological insulators are materials that conduct on the surface and insulate in their interior due to non-trivial topological order. The edge states on the interface between topological (non-trivial) and conventional (trivial) insulators…

Topological semimetals are gapless states of matter which have robust surface states and interesting electromagnetic responses. In this paper, we consider the electromagnetic response of gapless phases in $3+1$-dimensions with line nodes.…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Srinidhi T. Ramamurthy , Taylor L. Hughes

Topological insulators are a new class of materials which have gapped spectra in the bulk, but are accompanied by topologically protected gapless excitations at the surface (edge) of the system. These phenomena have a close relationship…

Mesoscale and Nanoscale Physics · Physics 2015-11-30 Taro Kimura

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

Topological textures in magnetically ordered materials are important case studies for fundamental research with promising applications in data science. They can also serve as photonic elements to mold electromagnetic fields endowing them…

An important characteristic of topological band insulators is the necessary presence of in-gap edge states on the sample boundary. We utilize this fact to show that when the boundary is reconnected with a twist, there are always zero-energy…

Strongly Correlated Electrons · Physics 2009-11-13 Dung-Hai Lee , Guang-Ming Zhang , Tao Xiang

Motivated by the idea of using simple macroscopic examples to illustrate the physics of complex systems, we modify a historic experimental setup in which interacting floating magnets spontaneously self-assemble into ordered clusters. By…

Soft Condensed Matter · Physics 2024-12-20 P. D. S. de Lima , A. Lyons , A. Irannezhad , J. M. de Araújo , S. Hutzler , M. S. Ferreira

It is well-known that band gaps, in the frequency domain, can be achieved by using periodic metamaterials. However it has been challenging to design materials with broad band gaps or that have multiple overlapping band gaps. For periodic…

Classical Physics · Physics 2025-05-05 Paulo S. Piva , Art L. Gower , I. David Abrahams

The topological classification of all known non-magnetic crystalline compounds is now complete, revealing thousands of new candidate topological materials waiting to be explored in the lab.

Materials Science · Physics 2019-03-12 Étienne Lantagne-Hurtubise , Marcel Franz

Topological photonics has attracted widespread research attention in the past decade due to its fundamental interest and unique manner in controlling light propagation for advanced applications. Paradigmatic approaches have been proposed to…

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