Spinful Topological Phases in Acoustic Crystals with Projective 
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 Symmetry

Meng, Yan; Lin, Shuxin; Shi, Bin-jie; Wei, Bin; Yang, Linyun; Yan, Bei; Zhu, Zhenxiao; Xi, Xiang; Wang, Yin; Ge, Yong; Yuan, Shouqi; Chen, Jingming; Liu, Gui-Geng; Sun, Hong-xiang; Chen, Hongsheng; Yang, Yihao; Gao, Zhen

doi:10.1103/physrevlett.130.026101

Cited by 26 publications

(4 citation statements)

References 75 publications

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“…We not only identify the distinctive mirror eigenvalue-locked bulk and edge spectra, but also directly measure the MCN through extracting the Berry curvature in momentum space. Comparing with the previous topological phases realized by projective symmetries [25][26][27] , here the PMCI is essentially a strong topological phase protected by MCN. Experimentally, our protocol used for measuring topological invariants, which is efficacious even in the presence of degenerate bands, can be extended to characterize other topological phases, especially for the newly emergent Euler [52][53][54] and non-orientable phases 55 .…”

Section: Conclusion and Discussionmentioning

confidence: 42%

“…Comparing to that of symmorphic symmetry, the multiplication rule of the point-group representation features an additional phase factor and enforces a projective representation for nonsymmorphic symmetry. Very recently, it unveils that in the presence of gauge degrees of freedom, spatial symmetries of a crystalline system need to be projectively represented, which completely changes the fundamental algebraic structure of the original symmetry group [22][23][24][25][26][27][28] . This inspires to establish a systematic projective topological classification based on the extraordinarily rich interplay between all variety of gauge and crystalline symmetries, particularly in various artificial systems [29][30][31][32][33][34][35][36] with abundant gauge symmetries [37][38][39][40] .…”

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confidence: 99%

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Acoustic realization of projective mirror Chern insulators

Liu

Zhang

et al. 2023

Preprint

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Symmetry plays a key role in classifying topological phases. Recent theory shows that in the presence of gauge fields, the algebraic structure of crystalline symmetries needs to be projectively represented, which enables unprecedented topological band physics. Here, by exploiting the concept of projective symmetry, we report an acoustic realization of mirror Chern insulators that are widely believed to be impossible in spinless systems. More specifically, we introduce a simple but universal recipe for constructing projective mirror symmetry, and conceive a minimal model for achieving the projective symmetry-enriched mirror Chern insulators. Based on our selective-excitation measurements, we demonstrate unambiguously the projective mirror eigenvalue-locked topological nature of the bulk states and associated chiral edge states. More importantly, we extract the non-abelian Berry curvature and identify the mirror Chern number directly, as conclusive experimental evidence for this exotic topological phase. All experimental results agree well with the theoretical predictions. Our findings will shine new light on the topological systems equipped with gauge fields.

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Section: Conclusion and Discussionmentioning

confidence: 42%

mentioning

confidence: 99%

Acoustic realization of projective mirror Chern insulators

Liu

Zhang

et al. 2023

Preprint

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“…Owning to the gauge symmetry, the algebraic structure of crystal symmetries needs to be projectively represented, leading to new topological phases [502][503][504][505][506][507]. A concrete example is the Möbius topological insulator induced by the projective translation symmetry in the presence of a Z 2 gauge field [507].…”

Section: Acoustic Topological Insulators Induced By Projected Symmetrymentioning

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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“…The emergence of acoustic metamaterials, which refers to artificial structural materials with unconventional acoustic properties, provides a new solution to the problem of low-frequency noise reduction. After a fast development over the last 20 years, acoustic metamaterials have made significant progress in various areas and become necessary building blocks for acoustic focusing [7][8][9], imaging [10,11], vibration and noise reduction [12][13][14][15][16][17], and a variety of topological phenomena [18][19][20][21]. Acoustic metamaterials for vibration and noise reduction are divided into sound-insulating metamaterials [22][23][24] and sound-absorbing metamaterials.…”

Section: Introductionmentioning

confidence: 99%

Ultra-ventilated sound absorption metamaterial lamina

Wu,

Yuan,

et al. 2024

J. Phys. D: Appl. Phys.

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We propose a lamina-shaped metamaterial absorber based on the coherently coupled weak resonances of high-order Helmholtz resonators in this work. Such an ultra-thin lamina metamaterial can achieve broadband tunable absorption (maximal absorption> 0.9), which exhibits near-perfect ventilation performance (ventilated area ratio> 0.8, ratio of wind velocity> 0.95). Benefiting from coherently coupled weak resonances between units with different structure parameters, the lamina metamaterial presents a broadband absorption (506-659 Hz with 2×3 units and 480-679 Hz with 2×4 units). The ultra-thin and simple structure shape of this sound absorption metamaterial lamina leads to not only an efficient ventilation performance but also high potential value in various scenarios of ventilated sound absorption, especially in ventilation tubes with high noise.

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Spinful Topological Phases in Acoustic Crystals with Projective PT Symmetry

Cited by 26 publications

References 75 publications

Acoustic realization of projective mirror Chern insulators

Acoustic realization of projective mirror Chern insulators

Topological phononic metamaterials

Ultra-ventilated sound absorption metamaterial lamina

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