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The investigation of topologically protected waves in classical media has opened unique opportunities to achieve exotic properties like one-way phonon transport, protection from backscattering and immunity to imperfections. Contrary to…

Applied Physics · Physics 2018-09-26 M. Miniaci , R. K. Pal , B. Morvan , M. Ruzzene

In this Letter, an elastic twisted kagome lattice at a critical twist angle, called self-dual kagome lattice, is shown to exhibit peculiar finite-frequency topological modes which emerge when certain conditions are satisfied. These states…

Applied Physics · Physics 2022-11-23 Hrishikesh Danawe , Heqiu Li , Kai Sun , Serife Tol

One-dimensional superlattices with modulated coupling constants show rich topological properties and tunable edge states. Beyond the dimeric case, probing the topological properties of superlattices is a challenge. Here we suggest a rather…

Optics · Physics 2020-12-15 Stefano Longhi

Topological boundary modes, a hallmark of quantum topological phases, remarkably occur in classical mechanical systems through an interesting correspondence with the quantum case. Here, we explore the Maxwell lattice frustrated Mott…

Strongly Correlated Electrons · Physics 2026-02-25 Hong-Hao Song , Pengwei Zhao , Gang v. Chen

We describe the possibility for topologically robust edge states existing on interfaces of triangular lattices which are supported by rotational symmetries that are sensitive to boundary conditions. Such states are trivial from the…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 Robert J. Davis , Yun Zhou , Dia'aaldin J. Bisharat , Prabhakar R. Bandaru , Daniel F. Sievenpiper

Topological insulating phases are usually found in periodic lattices stemming from collective resonant effects, and it may thus be expected that similar features may be prohibited in thermal diffusion, given its purely dissipative and…

Applied Physics · Physics 2021-07-16 Guoqiang Xu , Yihao Yang , Xue Zhou , Hongsheng Chen , Andrea Alu , Cheng-Wei Qiu

Topological photonics has emerged recently as a novel approach for realizing robust optical circuitry, and the study of nonlinear effects in topological photonics is expected to open the door for tunability of photonic structures with…

Optics · Physics 2019-12-12 Daria Smirnova , Lev Smirnov , Daniel Leykam , Yuri Kivshar

Topology describes properties that remain unaffected by smooth distortions. Its main hallmark is the emergence of edge states localized at the boundary between regions characterized by distinct topological invariants. This feature offers…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 P. St-Jean , V. Goblot , E. Galopin , A. Lemaître , T. Ozawa , L. Le Gratiet , I. Sagnes , J. Bloch , A. Amo

Implementation of topology on photonics has opened new functionalities of photonic systems such as topologically protected boundary modes. We present polarization-dependent topological properties in 2D Su-Schrieffer-Heeger lattice by using…

Optics · Physics 2019-09-04 Minkyung Kim , Junsuk Rho

Detecting topological order in cold-atom experiments is an ongoing challenge, the resolution of which offers novel perspectives on topological matter. In material systems, unambiguous signatures of topological order exist for topological…

Quantum Gases · Physics 2013-04-25 N. Goldman , J. Dalibard , A. Dauphin , F. Gerbier , M. Lewenstein , P. Zoller , I. B. Spielman

We report on the experimental observation of topologically protected edge waves in a two-dimensional elastic hexagonal lattice. The lattice is designed to feature K point Dirac cones that are well separated from the other numerous elastic…

Materials Science · Physics 2017-10-25 Javier Vila , Raj K. Pal , Massimo Ruzzene

Continuum lattice grid structures which consist of joined elastic beams subject to flexural deformations are ubiquitous. In this work, we establish a theoretical framework of the topological dynamics of continuum lattice grid structures,…

Classical Physics · Physics 2025-01-07 Yimeng Sun , Jiacheng Xing , Li-Hua Shao , Jianxiang Wang

We study how the topological properties of a one-dimensional staggered lattice, loaded into states with orbital angular momentum $l=1$, can be controlled simply by tuning the relative angle between sites. The original system under…

Quantum Gases · Physics 2026-05-07 Yunjia Zhai , Anselmo M. Marques , Ricardo G. Dias , Verònica Ahufinger , David Viedma

The localization of waves in two-dimensional clusters of scatterers arranged in relatively twisted lattices is studied by multiple scattering theory. It is found that, for a given frequency, it is always possible to find localized modes for…

Materials Science · Physics 2021-01-20 Dani Torrent , Marc Martí-Sabaté

We investigate the large deformation and extreme load-management capabilities of a soft topologically polarized kagome lattice mapped to a cylindrical domain through the problem of a lattice wheel rolling on an irregular surface. We test…

Materials Science · Physics 2020-12-24 William Zunker , Stefano Gonella

Topological edge states form at the edges of periodic materials with specific degeneracies in their modal spectra, such as Dirac points, under the action of effects breaking certain symmetries of the system. In particular, in Floquet…

Conventional topological insulators exhibit exotic gapless edge or surface states, as a result of non-trivial bulk topological properties. In periodically-driven systems the bulk-boundary correspondence is fundamentally modified and…

We put forward properties of solitons supported by optical lattices featuring topological dislocations, and show that solitons experience attractive and repulsive forces around the dislocations. Suitable arrangements of dislocations are…

Optics · Physics 2009-11-11 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

Mechanical metamaterials are those structures designed to convey force and motion in novel and desirable ways. Recently, Kane and Lubensky showed that lattices at the point of marginal mechanical stability (Maxwell lattices) possess a…

Materials Science · Physics 2017-08-02 D. Zeb Rocklin

We study topological mechanics in two-dimensional quasicrystalline parallelogram tilings. Topological mechanics has been studied intensively in periodic lattices in the past a few years, leading to the discovery of topologically protected…

Soft Condensed Matter · Physics 2019-06-26 Di Zhou , Leyou Zhang , Xiaoming Mao