Dirac Hierarchy in Acoustic Topological Insulators

Zheng, Li-Yang; Christensen, Johan

doi:10.1103/physrevlett.127.156401

Cited by 39 publications

(26 citation statements)

References 41 publications

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“…Further breaking these hinge states with a bandgap may hierarchically bring a third‐order corner state. [ 87] …”

Section: Acoustic Family Of 2d Qhe 3d Tis and Tsmsmentioning

confidence: 99%

“…Further breaking these hinge states with a bandgap may hierarchically bring a third-order corner state. [ 87] In real 3D solid-state materials, dislocations are unavoidable defects, such as edge and screw dislocations. Their Burgers vectors are always integer values, probably possessing some real-space topological character.…”

Section: Three-dimensional Acoustic Tismentioning

confidence: 99%

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Various topological phases and their abnormal effects of topological acoustic metamaterials

Chen

et al. 2023

Interdisciplinary Materials

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The last 20 years have witnessed growing impacts of the topological concept on the branches of physics, including materials, electronics, photonics, and acoustics. Topology describes objects with some global invariant property under continuous deformation, which in mathematics could date back to the 17th century and mature in the 20th century. In physics, it successfully underpinned the physics of the Quantum Hall effect in 1984. To date, topology has been extensively applied to describe topological phases in acoustic metamaterials. As artificial structures, acoustic metamaterials could be well theoretically analyzed, on‐demand designed, and easily fabricated by modern techniques, such as three‐dimensional printing. Some new theoretical topological models were first discovered in acoustic metamaterials analogous to electronic counterparts, associated with novel effects for acoustics closer to applications. In this review, we focused on the concept of topology and its realization in airborne acoustic crystals, solid elastic phononic crystals, and surface acoustic wave systems. We also introduced emerging concepts of non‐Hermitian, higher‐order, and Floquet topological insulators in acoustics. It has been shown that the topology theory has such a powerful generality that among the disciplines from electron to photon and phonon, from electronic to photonics and acoustics, from acoustic topological theory to acoustic devices, could interact and be analogous to fertilize fantastic new ideas and prototype devices, which might find applications in acoustic engineering and noise‐vibration control engineering in the near future.

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“…Further breaking these hinge states with a bandgap may hierarchically bring a third‐order corner state. [ 87] …”

Section: Acoustic Family Of 2d Qhe 3d Tis and Tsmsmentioning

confidence: 99%

Section: Three-dimensional Acoustic Tismentioning

confidence: 99%

Various topological phases and their abnormal effects of topological acoustic metamaterials

Chen

et al. 2023

Interdisciplinary Materials

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“…Acoustic systems have served as important and versatile experimental platforms for demonstrating the physics of HOTIs. In particular, various types of HOTIs with corner modes have been realized in acoustics [70][71][72][90][91][92][93][94][95][96][97][98][99][100][101][102][103][104][105].…”

Section: Acoustic Higher-order Topological Insulating Phasesmentioning

confidence: 99%

Topological acoustics

Xue,

Yang,

Zhang

2023

Preprint

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Topological acoustics is an emerging field that lies at the intersection of condensed matter physics, mechanical structural design and acoustics engineering. It explores the design and construction of novel artificial structures, such as acoustic metamaterials and phononic crystals, to manipulate sound waves robustly, taking advantage of topological protection. Early work on topological acoustics was limited to duplicating topological phases that have been understood in condensed matter systems, but recent advances have shifted the paradigm to exploring novel topological concepts that are difficult to realize in other physical systems, such as various topological semimetal phases, and topological phases associated with Floquet engineering, fragile topology, non-Hermiticity and synthetic dimensions. These developments demonstrate the unique advantages of topological acoustic systems and their role in developing topological physics. In this Review, we survey the fundamental mechanisms, basic designs and practical realizations of topological phases in acoustic systems, and provide an overview of future directions and potential applications.

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“…In order to reduce the system to four equations, we first eliminate r G in (15), afterwards τ G and Γ G in Eq. ( 16) and (17) and finally, t G in Eq.…”

Section: Data Availabilitymentioning

confidence: 99%

“…An attractive motivation compared to their electronic counterparts is their easy fabrication and tunability, which often reveal novel and unexpected effects to lead to entirely differing analogous connection to the original physical context. Chern insulators, valley-Hall phases and higher-order topological insulators are a few of many arenas that have been conquered with classical wave acoustics [7][8][9][10][11][12][13][14][15][16] . Among the latest efforts, several groups have already demonstrated that structured and twisted bilayer plates indeed host striking sonic, vibrating and photonic similarities compared to twisted bilayer graphene physics [17][18][19][20][21][22] .…”

mentioning

confidence: 99%

Theory of holey twistsonic media

et al. 2022

Self Cite

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Rotating two overlapping lattices relative to each other produces the well known moiré interference patterns and has surprisingly led to strongly correlated superconductivity in twisted bilayer graphene. This seminal effect that is associated with electrons occupying flat dispersion bands has stimulated a surge of activities in classical wave physics such as acoustics to explore equivalent scenarios. Here, we mimic twisted bilayer physics by employing a rigorous sound wave expansion technique to conduct band engineering in holey bilayer plates, i.e., twistsonic media. Our numerical findings show how one flexibly is able to design moiré sound interference characteristics that alone are controlled by the twist angle and the interlayer air separation. More specifically, our numerical approach provides a significant advantage in both computational speed and storage size in comparison with widely used commercial finite-element-method solvers. We foresee that our findings should stimulate further studies in terms of band engineering and exotic topological twisted phases.

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Dirac Hierarchy in Acoustic Topological Insulators

Cited by 39 publications

References 41 publications

Various topological phases and their abnormal effects of topological acoustic metamaterials

Various topological phases and their abnormal effects of topological acoustic metamaterials

Topological acoustics

Theory of holey twistsonic media

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