Dirac points and the transition towards Weyl points in three-dimensional sonic crystals

Boyang Xie; Hui Liu; Hua Cheng; Zhengyou Liu; Jianguo Tian; Shuqi Chen

doi:10.1038/s41377-020-00416-2

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Dirac points and the transition towards Weyl points in three-dimensional sonic crystals

Original Articles

- Dirac points and the transition towards Weyl points in three-dimensional sonic crystals
- Dirac points and the transition towards Weyl points in three-dimensional sonic crystals
- LSA 2020年9卷第6期页码：1841-1849
- Affiliations：
  
  1.The Key Laboratory of Weak Light Nonlinear Photonics, Ministry of Education, School of Physics, TEDA Institute of Applied Physics, and Renewable Energy Conversion and Storage Center, Nankai University, 300071 Tianjin, China
  2.The Key Laboratory of Artificial Micro- and Nanostructures of the Ministry of Education and School of Physics and Technology, Wuhan University, 430072 Wuhan, China
  3.The Collaborative Innovation Center of Extreme Optics, Shanxi University, 030006 Taiyuan, Shanxi, China
  4.The Collaborative Innovation Center of Light Manipulations and Applications, Shandong Normal University, 250358 Jinan, China
- Author bio：
  
  Hua Cheng (hcheng@nankai.edu.cn)
  Shuqi Chen (schen@nankai.edu.cn)
- Funds：
- DOI：10.1038/s41377-020-00416-2
  中图分类号：
- 纸质出版日期：2020，
  
  网络出版日期：2020-12-22，
  
  收稿日期：2020-04-04，
  
  修回日期：2020-09-26，
  
  录用日期：2020-09-27
- Accepted：
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Dirac points and the transition towards Weyl points in three-dimensional sonic crystals[J]. LSA, 2020,9(6):1841-1849.

Xie, B. Y. et al. Dirac points and the transition towards Weyl points in three-dimensional sonic crystals. Light: Science & Applications, 9, 1841-1849 (2020).
Dirac points and the transition towards Weyl points in three-dimensional sonic crystals[J]. LSA, 2020,9(6):1841-1849. DOI： 10.1038/s41377-020-00416-2.

Xie, B. Y. et al. Dirac points and the transition towards Weyl points in three-dimensional sonic crystals. Light: Science & Applications, 9, 1841-1849 (2020). DOI： 10.1038/s41377-020-00416-2.

摘要

Abstract

A four-fold-degenerate three-dimensional (3D) Dirac point

represents a degenerate pair of Weyl points carrying opposite chiralities. Moreover

3D Dirac crystals have shown many exotic features different from those of Weyl crystals. How these features evolve from 3D Dirac to Weyl crystals is important in research on 3D topological matter. Here

we realized a pair of 3D acoustic Dirac points from band inversion in a hexagonal sonic crystal and observed the surface states and helical interface states connecting the Dirac points. Furthermore

each Dirac point can transition into a pair of Weyl points with the introduction of chiral hopping. The exotic features of the surface states and interface states are inherited by the resulting Weyl crystal. Our work may serve as an ideal platform for exploring exotic physical phenomena in 3D topological semimetals.

关键词

Keywords

references

Armitage, N. P., Mele, E. J.&Vishwanath, A. Weyl and Dirac semimetals in three-dimensional solids.Rev. Mod. Phys.90, 015001 (2018)..

Liu, Z. K. et al. Discovery of a three-dimensional topological Dirac semimetal, Na3Bi.Science343, 864–867 (2014)..

Neupane, M. et al. Observation of a three-dimensional topological Dirac semimetal phase in high-mobility Cd3As2.Nat. Commun.5, 3786 (2014)..

Liu, Z. K. et al. A stable three-dimensional topological Dirac semimetal Cd3As2.Nat. Mater.13, 677–681 (2014)..

Yan, M. Z. et al. Lorentz-violating type-Ⅱ Dirac fermions in transition metal dichalcogenide PtTe2.Nat. Commun.8, 257 (2017)..

Yang, Y. H. et al. Realization of a three-dimensional photonic topological insulator.Nature565, 622–626 (2019)..

Slobozhanyuk, A. et al. Three-dimensional all-dielectric photonic topological insulator.Nat. Photonics11, 130–136 (2017)..

Li, K. K. et al. Dirac and nodal line magnons in three-dimensional antiferromagnets.Phys. Rev. Lett.119, 247202 (2017)..

Young, S. M. et al. Dirac semimetal in three dimensions.Phys. Rev. Lett.108, 140405 (2012)..

Wang, Z. J. et al. Dirac semimetal and topological phase transitions in A3Bi (A = Na, K, Rb).Phys. Rev. B85, 195320 (2012)..

Xu, S. Y. et al. Discovery of a Weyl fermion semimetal and topological Fermi arcs.Science349, 613–617 (2015)..

Xu, S. Y. et al. Observation of Fermi arc surface states in a topological metal.Science347, 294–298 (2015)..

Huang, X. C. et al. Observation of the chiral-anomaly-induced negative magnetoresistance in 3D Weyl semimetal TaAs.Phys. Rev. X5, 031023 (2015)..

Xiong, J. et al. Evidence for the chiral anomaly in the Dirac semimetal Na3Bi.Science350, 413–416 (2015)..

Guo, Q. H. et al. Observation of three-dimensional photonic Dirac points and spin-polarized surface arcs.Phys. Rev. Lett.122, 203903 (2019)..

Le, C. C. et al. Dirac semimetal in β-CuI without surface Fermi arcs.Proc. Natl Acad. Sci. USA115, 8311–8315 (2018)..

Potter, A. C., Kimchi, I.&Vishwanath, A. Quantum oscillations from surface Fermi arcs in Weyl and Dirac semimetals.Nat. Commun.5, 5161 (2014)..

Wang, Z. J. et al. Three-dimensional Dirac semimetal and quantum transport in Cd3As2.Phys. Rev. B88, 125427 (2013)..

Lu, L. et al. Topological photonics.Nat. Photonics8, 821–829 (2014)..

Khanikaev, A. B.&Shvets, G. Two-dimensional topological photonics.Nat. Photonics11, 763–773 (2017)..

Yang, Z. J. et al. Topological acoustics.Phys. Rev. Lett.114, 114301 (2015)..

He, C. et al. Acoustic topological insulator and robust one-way sound transport.Nat. Phys.12, 1124–1129 (2016)..

Lu, J. Y. et al. Valley topological phases in bilayer sonic crystals.Phys. Rev. Lett.120, 116802 (2018)..

Peng, Y. G. et al. Experimental demonstration of anomalous Floquet topological insulator for sound.Nat. Commun.7, 13368 (2016)..

He, C. et al. Three-dimensional topological acoustic crystals with pseudospin-valley coupled saddle surface states.Nat. Commun.9, 4555 (2018)..

Xiao, M. et al. Synthetic gauge flux and Weyl points in acoustic systems.Nat. Phys.11, 920–924 (2015)..

Li, F. et al. Weyl points and Fermi arcs in a chiral phononic crystal.Nat. Phys.14, 30–34 (2018)..

Xie, B. Y. et al. Experimental realization of type-Ⅱ Weyl points and Fermi arcs in phononic crystal.Phys. Rev. Lett.122, 104302 (2019)..

He, H. L. et al. Topological negative refraction of surface acoustic waves in a Weyl phononic crystal.Nature560, 61–64 (2018)..

Yang, Y. H. et al. Topological triply degenerate point with double Fermi arcs.Nat. Phys.15, 645–649 (2019)..

Deng, W. Y. et al. Nodal rings and drumhead surface states in phononic crystals.Nat. Commun.10, 1769 (2019)..

Qiu, H. H. et al. Straight nodal lines and waterslide surface states observed in acoustic metacrystals.Phys. Rev. B100, 041303 (2019)..

Peri, V. et al. Axial-field-induced chiral channels in an acoustic Weyl system.Nat. Phys.15, 357–361 (2019)..

Cheng, H. B. et al. Discovering topological surface states of Dirac points.Phys. Rev. Lett.124, 104301 (2020)..

Cai, X. X. et al. Symmetry-enforced three-dimensional Dirac phononic crystals.Light: Sci. Appl.9, 38 (2020)..

Lu, L. et al. Symmetry-protected topological photonic crystal in three dimensions.Nat. Phys.12, 337–340 (2016)..

Wang, H. X. et al. Type-Ⅱ Dirac photons.npj Quantum Mater.2, 54 (2017)..

Guo, Q. H. et al. Three dimensional photonic Dirac points in metamaterials.Phys. Rev. Lett.119, 213901 (2017)..

Wang, H. et al. Three-dimensional photonic Dirac points stabilized by point group symmetry.Phys. Rev. B93, 235155 (2016)..

Yang, B. J.&Nagaosa, N. Classification of stable three-dimensional Dirac semimetals with nontrivial topology.Nat. Commun.5, 4898 (2014)..

Lin, M.&Hughes, T. L. Topological quadrupolar semimetals.Phys. Rev. B98, 241103 (2018)..

He, C. et al. Acoustic analogues of three-dimensional topological insulators.Nat. Commun.11, 2318 (2020)..

Ding, Y. J. et al. Experimental demonstration of acoustic Chern insulators.Phys. Rev. Lett.122, 014302 (2019)..

Kargarian, M., Randeria, M.&Lu, Y. M. Are the surface Fermi arcs in Dirac semimetals topologically protected?Proc. Natl Acad. Sci. USA113, 8648–8652 (2016)..

Fang, C. et al. Topological semimetals with helicoid surface states.Nat. Phys.12, 936–941 (2016)..

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