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We report a new type of phononic crystals with topologically non-trivial bandgaps for both longitudinal and transverse polarizations, resulting in protected one-way elastic edge waves. In our design, gyroscopic inertial effects are used to…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Pai Wang , Ling Lu , Katia Bertoldi

Topological insulators are unique devices supporting unidirectional edge states at their interfaces. Due to topological protection, such edge states persist in the presence of disorder and do not experience backscattering upon interaction…

In this paper, we discuss the possibility of achieving tunable topologically protected edge modes through the application of uniaxial deformation in an auxetic metamaterial. The proposed structure consists of a thin slab with oriented cuts…

Topological magnon modes are expected to be useful for novel applications such as robust information propagation, since they are immune to backscattering and robust against disorder. Although there are several of theoretical proposals for…

Mesoscale and Nanoscale Physics · Physics 2021-12-23 Hong Huang , Toshikaze Kariyado , Xiao Hu

A systematic approach for deriving tight-binding approximations in general longitudinally driven lattices is presented. As prototypes, honeycomb and staggered square lattices are considered. Time-reversal symmetry is broken by…

Pattern Formation and Solitons · Physics 2017-11-08 Mark J. Ablowitz , Justin T. Cole

Periodic networks on the verge of mechanical instability, called Maxwell lattices, are known to exhibit zero-frequency modes localized to their boundaries. Topologically polarized Maxwell lattices, in particular, focus these zero modes to…

Soft Condensed Matter · Physics 2022-11-30 Mohammad Charara , James McInerney , Kai Sun , Xiaoming Mao , Stefano Gonella

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. While a range of different mechanisms to induce topological order have been introduced, a quest for…

Materials Science · Physics 2019-08-07 Mengyao Li , Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

Recent advances in topologically robust waveguiding for electromagnetic systems have presented opportunities for improving practical photonic and microwave devices. To bring this rich area of physics within the reach of application, it is…

Applied Physics · Physics 2021-04-07 Robert J. Davis , Dia'aaldin J. Bisharat , Daniel F. Sievenpiper

Nonlinear mechanical metamaterials can exhibit emergent transport phenomena that mimic topological protection without relying on linear band topology. Here, we realize a bifurcation-induced nonreciprocal lattice that supports robust…

Materials Science · Physics 2026-02-05 Brahim Lemkalli , Qingxiang Ji , Jingyi Zhang , Richard Craster , Johan Christensen , Muamer Kadic

We present a class of mechanical lattices based on elliptical gears with quasiperiodic modulation and geometric nonlinearity, capable of exhibiting topologically protected modes and amplitude-driven transitions. Starting from a…

Applied Physics · Physics 2025-08-11 Shuaifeng Li , Di Zhou , Feng Li , Panayotis G. Kevrekidis , Jinkyu Yang

Unidirectional nonreciprocal transport is at the heart of many fundamental problems and applications in both science and technology. Here we study the novel design of wave diode devices by engineering asymmetric shapes of nonlinear…

Mesoscale and Nanoscale Physics · Physics 2015-09-10 Nianbei Li , Jie Ren

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…

Conventional magnonic devices use three classes of magnetostatic waves that require detailed manipulation of magnetization structure that makes the design and the device/circuitry scalability difficult tasks. Here, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2017-07-04 X. S. Wang , H. W. Zhang , X. R. Wang

We propose a dynamically tunable nonreciprocal response for wave propagations by employing nonlinear Fano resonances. We demonstrate that transmission contrast of waves propagation in opposite directions can be controlled by excitation…

Optics · Physics 2015-06-17 Yi Xu , Andrey E. Miroshnichenko

Inducing nonreciprocal wave propagation is a fundamental challenge across a wide range of physical systems in electromagnetics, optics, and acoustics. Recent efforts to create nonreciprocal devices have departed from established…

Precise control of elastic waves in modes and coherences is of great use in reinforcing nowadays elastic energy harvesting/storage, nondestructive testing, wave-mater interaction, high sensitivity sensing and information processing, etc.…

Mesoscale and Nanoscale Physics · Physics 2017-07-18 Si-Yuan Yu , Cheng He , Zhen Wang , Fu-Kang Liu , Xiao-Chen Sun , Zheng Li , Ming-Hui Lu , Xiao-Ping Liu , Yan-Feng Chen

Topological metamaterials exhibit unusual behaviors at their boundaries, such as unidirectional chiral waves, that are protected by a topological feature of their band structure. The ability to tune such a material through a topological…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Noah P. Mitchell , Lisa M. Nash , William T. M. Irvine

Topological phononic crystals, alike their electronic counterparts, are characterized by a bulk-edge correspondence where the interior of a material dictates the existence of stable surface or boundary modes. In the mechanical setup, such…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 Roman Süsstrunk , Sebastian D. Huber

The propagation of linear and nonlinear edge modes in bounded photonic honeycomb lattices formed by an array of rapidly varying helical waveguides is studied. These edge modes are found to exhibit strong transmission (reflection) around…

Optics · Physics 2023-07-19 Mark J. Ablowitz , Yi-Ping Ma

Breaking reciprocity in the microwave frequency range will have important implications for modern electronic systems. Since it usually involves bulky biasing magnets or complex spatial-temporal modulations, exploring a lightweight,…

Applied Physics · Physics 2023-05-04 Xiaozhen Yang , Erda Wen , Daniel F. Sievenpiper