Partha Goswami* and Udai Prakash Tyagi

D.B. College, University of Delhi, Kalkaji, New Delhi, India

*Corresponding Author: Partha Goswami, D.B. College, University of Delhi, Kalkaji, New Delhi, India.

Received: July 25, 2023; Published: August 08, 2023

Abstract

In this exceedingly short review article, we have provided some information on acoustic topological insulator (ATI) for pedagogical purpose. Since, intrinsically acoustic systems do not have Kramers doublets due to spin-0 status, artificially acoustic spin-1/2 states could be engineered [5] as reported in refs [6-26] maintaining time reversal symmetry. The high point of this article is an explanation of emergent Dirac physics in ATIs.

Keywords: Acoustic Topological Insulator (ATI); Topological Insulators (TIs); Dirac Hierarchy (DH); Dirac Cone (DC)

References

1. XL Qi and SC Zhang. “Topological insulators and superconductors”. Reviews of Modern Physics 83 (2011).
2. M Sato and Y Ando. “Topological superconductors: a review”. Reports on Progress in Physics 80 (2017).
3. MZ Hasan and CL Kane. “Colloquium: Topological insulators”. Reviews of Modern Physics 82 (2010): 3045.
4. Z Song., et al. “(d−2)-dimensional edge states of rotation symmetry protected topological states”. Physical Review Letters 119 (2017).
5. AY Guan., et al. “A General Method to Design Acoustic Higher-Order Topological Insulators, arXiv:2102.11710 v2[Physics. app-physics] (2021).
6. C He., et al. “Acoustic topological insulator and robust one-way sound transport”. Nature Physics 12 (2016): 1124.
7. H Xue ., et al. “Realization of an Acoustic Third-Order Topological Insulator”. Physical Review Letters 122 (2019): 244301.
8. C He., et al. “Hybrid Acoustic Topological Insulator in Three Dimensions”. Physical Review Letters 123 (2019): 195503.
9. F Meng., et al. “Observation of Emergent Dirac Physics at the Surfaces of Acoustic Higher‐Order Topological Insulators”. Advanced Science24 (2022): 2201568.
10. LY Zheng and J Christensen. “Dirac Hierarchy in Acoustic Topological Insulators”. Physical Review Letters 127 (2021): 156401.
11. L Yang., et al. “Observation of Dirac Hierarchy in Three-Dimensional Acoustic Topological Insulators”. Physical Review Letters 129 (2022): 125502.
12. C He., et al. “Acoustic analogues of three-dimensional topological insulators”. Nature Communications1 (2020): 2318.
13. M Bunney., et al. “Competition of First-Order and Second-Order Topology on the Honeycomb Lattice, arXiv: 2110.15549 (2022).
14. X Ni., et al. “Topological edge states in acoustic Kagome lattices”. New Journal of Physics 19 (2017).
15. F Liu and K Wakabayashi. “Novel Topological Phase with a Zero Berry Curvature”. Physical Review Letters 118 (2017).
16. X Ni., et al. “Observation of higher-order topological acoustic states protected by generalized chiral symmetry”. Nature Materials 18 (2019): 113.
17. V Peano., et al. “Topological phases of sound and light”. Physical Review X 5 (2015).
18. X Yu., et al. “Acoustic transport in higher-order topological insulators with Dirac hierarchy”. New Journal of Physics 25 (2023): 06300.
19. HS Lai., et al. “Tunable topological surface states of three-dimensional acoustic crystal”. Frontiers in Physics 9 (2021): 789697.
20. Q Wei., et al. “Higher-order topological semimetal in acoustic crystals”. Nature Materials 20 (2021): 812.
21. Y Yang., et al. “Observation of a topological nodal surface and its surface-state arcs in an artificial acoustic crystal”. Nature Communications 10 (2019): 5185.
22. W Deng., et al. “Acoustic spin-1 Weyl semimetal”. Science China Physics, Mechanics and Astronomy 63 (2020): 287032.
23. C He., et al. “Three-dimensional topological acoustic crystals with pseudospin-valley coupled saddle surface states”. Nature Communications 9 (2018): 4555.
24. A Bansil., et al. “Colloquium: Topological band theory”. Reviews of Modern Physics 88 (2016): 021004.
25. V Peri., et al. “Experimental characterization of fragile topology in an acoustic metamaterial”. Science 367 (2020): 797.
26. P Zhang. “Symmetry and degeneracy of phonon modes for periodic structures with glide symmetry”. Journal of the Mechanics and Physics of Solids 122 (2019): 244.
27. WA Benalcazar., et al. “Quantized Electric Multipole Insulators”. Science 357 (2016): 61.
28. M Ezawa. “Higher-Order Topological Insulators and Semimetals on the Breathing Kagome and Pyrochlore Lattices”. Physical Review Letters 120 (2018): 026801.
29. F Schindler., et al. “Higher order topological insulators”. Science Advances 4 (2018): eaat0346.
30. T Ozawa., et al. “Topological photonics”. Reviews of Modern Physics 91 (2019): 015006.
31. F Haldane and S Raghu. “Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry”. Physical Review Letters 100 (2008): 013904.
32. Y Ding., et al. “Experimental Demonstration of Acoustic Chern Insulators”. Physical Review Letters 122 (2019): 014302.
33. J Lu., et al. “Observation of topological valley transport of sound in sonic crystals”. Nature Physics 13 (2016): 369.
34. W Deng., et al. “Acoustic spin-Chern insulator induced by synthetic spin–orbit coupling with spin conservation breaking”. Nature Communications 11 (2020): 3227.
35. T Kawarabayashi and Y Hatsugai. “Bulk-edge correspondence with generalized chiral symmetry”. arXiv: 2011.09164 v3 (2021).
36. K Kawabata., et al. “Higher-order non-Hermitian skin effect”. Physical Review B 102 (2020): 205118.
37. H Gao., et al. “Non-Hermitian route to higher-order topology in an acoustic crystal”. arXiv (2007): 01041.

Citation

Citation: Partha Goswami and Udai Prakash Tyagi. “Some Information on Acoustic Topological Insulator". Acta Scientific Applied Physics 3.9 (2023): 11-15.

Copyright

Copyright: © 2023 Partha Goswami and Udai Prakash Tyagi. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.