Topological Wannier cycles induced by sub-unit-cell artificial gauge flux in a sonic crystal

Lin, Zhi‐Kang; Wu, Ying; Jiang, Bin; Liu, Yang; Wu, Shiqiao; Li, F.; Jiang, Jianhua

doi:10.1038/s41563-022-01200-w

Cited by 60 publications

(35 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This has been a topic since the early years of TIs [196,197], but is rarely studied experimentally due to the lack of suitable platforms. In acoustic structures that can be freely designed and accurately fabricated, topological lattice defects can be easily engineered, and thus the associated physics becomes accessible in the laboratory [198][199][200][201].…”

Section: Discussionmentioning

confidence: 99%

Topological acoustics

Xue,

Yang,

Zhang

2023

Preprint

View full text Add to dashboard Cite

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.

show abstract

Section: Discussionmentioning

confidence: 99%

Topological acoustics

Xue,

Yang,

Zhang

2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Additionally, recent investigations have revealed that -symmetric topological semimetals gapped with charge-density waves exhibit the same low-energy theory as helical HOTIs 57 , 82 , suggesting an intriguing future venue for investigating the spin-charge-separated defect and flux response effects introduced in this work. Furthermore, though we have focused on solid-state materials, metamaterials can also exhibit nontrivial defect and flux responses 83 , 84 , and may therefore provide an additional platform for realizing HEND states. Lastly, it was recently demonstrated that dislocations in d -D crystals can also map interacting ( d −1)-D topological phases to real space 85 , suggesting that the interplay of crystal defects and topological order is a promising direction for future study.…”

Section: Discussionmentioning

confidence: 99%

Topological zero-dimensional defect and flux states in three-dimensional insulators

et al. 2022

View full text Add to dashboard Cite

In insulating crystals, it was previously shown that defects with two fewer dimensions than the bulk can bind topological electronic states. We here further extend the classification of topological defect states by demonstrating that the corners of crystalline defects with integer Burgers vectors can bind 0D higher-order end (HEND) states with anomalous charge and spin. We demonstrate that HEND states are intrinsic topological consequences of the bulk electronic structure and introduce new bulk topological invariants that are predictive of HEND dislocation states in solid-state materials. We demonstrate the presence of first-order 0D defect states in PbTe monolayers and HEND states in 3D SnTe crystals. We relate our analysis to magnetic flux insertion in insulating crystals. We find that π-flux tubes in inversion- and time-reversal-symmetric (helical) higher-order topological insulators bind Kramers pairs of spin-charge-separated HEND states, which represent observable signatures of anomalous surface half quantum spin Hall states.

show abstract

“…, − , + h/4). [89] After dimensional reduction, the 3D system can be mapped into various k z -dependent 2D slices. Each coupling between neighboring quarter sectors has a gauge phase ±k z h/4.…”

Section: Three-dimensional Acoustic Tismentioning

confidence: 99%

Section: Three-dimensional Acoustic Tismentioning

confidence: 99%

“…For example, a step screw dislocation at the center of a 3D phononic crystal (Figure 12D,E) is related by the screw rotation

{S}_{4z}:\phantom{\rule{}{0ex}}(x,y,z)

→ (

y,-x,z+\phantom{\rule{}{0ex}}

h /4). [ 89 ] After dimensional reduction, the 3D system can be mapped into various k z ‐dependent 2D slices. Each coupling between neighboring quarter sectors has a gauge phase ± k z h /4.…”

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

confidence: 99%

See 1 more Smart Citation

Various topological phases and their abnormal effects of topological acoustic metamaterials

Chen

et al. 2023

Interdisciplinary Materials

View full text Add to dashboard Cite

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.

show abstract

Topological Wannier cycles induced by sub-unit-cell artificial gauge flux in a sonic crystal

Cited by 60 publications

References 47 publications

Topological acoustics

Topological acoustics

Topological zero-dimensional defect and flux states in three-dimensional insulators

Various topological phases and their abnormal effects of topological acoustic metamaterials

Contact Info

Product

Resources

About