Robust Fano resonance between mechanical first- and second-order topological states

Yang, Linyun; Wu, Ying; Yu, Kaiping; Zhao, Rui; Wang, Wei; Bonello, Bernard; Djafari‐Rouhani, Bahram

doi:10.1016/j.ijmecsci.2022.107768

Cited by 15 publications

(2 citation statements)

References 68 publications

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“…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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Section: Introductionmentioning

confidence: 99%

Delocalization and higher-order topology in a nonlinear elastic lattice

Yi,

Chen

2024

New J. Phys.

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“…In recent years, there has been a marked surge in research interest concerning topological EMMs [16][17][18][19][20]. These innovative materials exhibit high-efficiency transportation of edge modes or higher-order corner states, drawing inspiration from the groundbreaking discovery of topological insulators in the realm of condensed-matter physics [21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

A Topological Valley Stamping Plate for Low-Frequency-Vibration Isolation and Wave Manipulation in Helicopters

Wang,

Lin,

Liu

et al. 2023

Processes

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Vibration isolation and wave manipulation play a significant role in helicopter applications, from small elastic devices for information processing to large solid structures for vibration control. The emergence of topological elastic metamaterials has opened up new possibilities for modulating vibrations and waves in solids. However, most designs are limited to laboratory settings due to complex manufacturing or low structural strength. In this study, we propose a topological elastic metamaterial with a stamping triangle whose orientation θ can be rotated to achieve topological phase transitions between −30° and 30°. Unlike traditional manufacturing methods, the utilization of stamping technology provides a cost-effective means of production, allowing for wider application across diverse industries. Moreover, the metamaterial has the capability to manipulate elastic waves along specific trajectories and effectively decrease common vibrations (more than 50 dB), typically occurring at a frequency of 24 Hz in helicopters. Our approach also enables the control of elastic wave propagation along interfaces through the emergence of topological edge states. The practical implementation of this design will enhance the confidence in using topological elastic metamaterials for vibration isolation and wave manipulation in helicopters.

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Parity‐Frequency‐Space Elastic Spin Control of Wave Routing in Topological Phononic Circuits

Huang,

Yang,

Yuan

et al. 2024

Advanced Science

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Topological phononic cavities, such as ring resonators with topological whispering gallery modes (TWGMs), offer a flexible platform for the realization of robust phononic circuits. However, the chiral mechanism governing TWGMs and their selective routing in integrated phononic circuits remain unclear. This work reveals, both experimentally and theoretically, that at a phononic topological interface, the elastic spin texture is intricately linked to, and can be explained through a knowledge of, the phonon eigenmodes inside each unit cell. Furthermore, for paired, counterpropagating TWGMs based on such interfaces in a waveguide resonator, this study demonstrates that the elastic spin exhibits locking at discrete frequencies. Backed up by theory, experiments on kHz TWGMs in thin honeycomb‐lattice aluminum plates bored with clover‐leaf shaped holes show that together with this spin‐texture related angular‐momentum locking mechanism at a single topological interface, there are triplicate parity‐frequency‐space selective wave routing mechanisms. In the future, these mechanisms can be harnessed for the versatile manipulation of elastic‐spin based routing in phononic topological insulators.

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Robust Fano resonance between mechanical first- and second-order topological states

Cited by 15 publications

References 68 publications

Delocalization and higher-order topology in a nonlinear elastic lattice

Delocalization and higher-order topology in a nonlinear elastic lattice

A Topological Valley Stamping Plate for Low-Frequency-Vibration Isolation and Wave Manipulation in Helicopters

Parity‐Frequency‐Space Elastic Spin Control of Wave Routing in Topological Phononic Circuits

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