Local-Resonance-Induced Dual-Band Topological Corner States of Flexural Waves in a Perforated Metaplate

Li, Fan; Chen, Yafeng; An, Shuowei; Liu, Tuo; Fan, Haiyan; Zhu, Jie; Su, Zhongqing

doi:10.1103/physrevapplied.19.034065

Cited by 8 publications

(2 citation statements)

References 65 publications

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“…A concrete example is the dual-band valley phononic crystals [255,[399][400][401][402] which enable multi-band topological transport of sound waves. Likewise, multi-gap higher-order topological phenomena can be utilized to trap phonons at the corner boundaries at multiple frequency bands [403][404][405][406]. Furthermore, one may combine the conventional topology with higher-order topology in a single phononic system, leading to the hybrid (or hierarchy) topological insulator [366,367].…”

Section: Higher-order Topological Insulatorsmentioning

confidence: 99%

Topological phononic metamaterials

Zhu,

Deng,

Liu

et al. 2023

Rep. Prog. Phys.

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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 years, this paradigm was extended to phononic metamaterials (including mechanical and acoustic metamaterials), giving rise to the discovery of remarkable phenomena that were not observed elsewhere thanks to the extraordinary controllability and tunability of phononic metamaterials as well as versatile measuring techniques. These phenomena include, but not limited to, topological negative refraction, topological `sasers' (i.e., the phononic analog of lasers), higher-order topological insulating states, non-Abelian topological phases, higher-order Weyl semimetal phases, Majorana-like modes in Dirac vortex structures and fragile topological phases with spectral flows. Here we review the developments in the field of topological phononic metamaterials from both theoretical and experimental perspectives with emphasis on the underlying physics principles. To give a broad view of topological phononics, we also discuss the synergy with non-Hermitian effects and cover topics including synthetic dimensions, artificial gauge fields, Floquet topological acoustics, bulk topological transport, topological pumping, and topological active matters as well as potential applications, materials fabrications and measurements of topological phononic metamaterials. Finally, we discuss the challenges, opportunities and future developments in this intriguing field and its potential impact on physics and materials science.

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Section: Higher-order Topological Insulatorsmentioning

confidence: 99%

Topological phononic metamaterials

Zhu,

Deng,

Liu

et al. 2023

Rep. Prog. Phys.

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show abstract

“…Based on the generalized SSH model, second-order topological corner states can be realized in structures with different crystalline symmetries [31], e.g. Kagome lattices [21], square lattices [32], and honeycomb lattices [33]. These HOTIs have clear advantages in that their topological states are hierarchical and multi-dimensional.…”

Section: Introductionmentioning

confidence: 99%

Delocalization and higher-order topology in a nonlinear elastic lattice

Yi,

Chen

2024

New J. Phys.

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Topological elastic waves provide novel and robust ways for manipulating mechanical energy transfer and information transmission, with potential applications in vibration control, analog computation, and more. Recently discovered higher-order topological insulators (HOTIs) with multidimensional and hierarchical edge states can further expand the capabilities of topological elastic waves. However, the effects of nonlinearity on elastic HOTIs remain elusive. In this paper, we propose a nonlinear elastic higher-order topological Kagome lattice. After briefly reviewing its linear properties, we explore the effects of nonlinearity on the higher-order band topology and topological states. To do this, we have developed a method to calculate approximate nonlinear modes in order to identify the bulk polarization and probe the higher-order topological phase in the nonlinear lattice. We find that nonlinearity induces unusual delocalization of topological corner states, band crossing, and higher-order topological phase transition. The delocalization reveals that intracell hardening nonlinearity leads to direct delocalization of topological corner states while intracell softening nonlinearity first enhances and then reduces localization. The nonlinear higher-order topological phase is amplitude dependent, and we demonstrate a transition from a trivial to a non-trivial phase, enabling amplitude induced topological corner and edge states. Additionally, this phase transition corresponds to the closing and reopening of the bandgap, accompanied by an unusual band crossing. By examining the band topology before and after the band crossing, we find that the bulk polarization becomes quantized with respect to amplitude and can predict higher-order topological phases in nonlinear lattices. The obtained results are expected to be beneficial for the development of tunable and robust elastic wave devices.

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An All‐Polarized Elastic Topological Metamaterial for Ultrasonic Energy Conveying and Harvesting

Chen,

Fan,

Zhu

et al. 2024

Adv Funct Materials

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Microelastic topological metamaterials (METMs) are of great use in the robust conveying and harvesting of high‐frequency ultrasonic energies. However, current METMs only hold topological edge states of a single flexural mode, restricting their capacity to convey ultrasonic energies of other polarized elastic waves. Moreover, the potential of METMs for ultrasonic energy harvesting remains unexplored. To address these challenges, an all‐polarized elastic topological metamaterial (AETM) is developed, capable of simultaneous conveying and harvesting of ultrasonic energies from elastic waves of all polarizations. This AETM supports broadband topological edge states for both out‐of‐plane and in‐plane modes, enabling the robust conveying of ultrasonic energies from all‐polarized elastic waves. Subsequently, by integrating the AETM with a piezoelectric energy harvester, efficient harvesting of ultrasonic energies conveyed by the AETM is achieved. Notably, the developed AETM with structural simplicity can be easily integrated into micro‐electromechanical systems (MEMSs) for on‐chip ultrasonic wave communication and energy harvesting. This work advances the development of topological metamaterials that can concurrently convey and harvest ultrasonic energies from all‐polarized elastic waves, offering significant potential for various MEMS applications.

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Local-Resonance-Induced Dual-Band Topological Corner States of Flexural Waves in a Perforated Metaplate

Cited by 8 publications

References 65 publications

Topological phononic metamaterials

Topological phononic metamaterials

Delocalization and higher-order topology in a nonlinear elastic lattice

An All‐Polarized Elastic Topological Metamaterial for Ultrasonic Energy Conveying and Harvesting

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