Abstract
Valley topological materials, in which electrons possess valley pseudospin, have attracted a growing interest recently. The additional valley degree of freedom offers a great potential for its use in information encoding and processing. The valley pseudospin and valley edge transport have been investigated in photonic and phononic crystals for electromagnetic and acoustic waves, respectively. In this work, by using a micromanufacturing technology, valley topological materials are fabricated on silicon chips, which allows the observation of gyral valley states and valley edge transport for elastic waves. The edge states protected by the valley topology are robust against the bending and weak randomness of the channel between distinct valley Hall phases. At the channel intersection, a counterintuitive partition of the valley edge states manifests for elastic waves, in which the partition ratio can be freely adjusted. These results may enable the creation of on-chip high-performance micro-ultrasonic materials and devices.
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The data that support the findings of this study are available from the corresponding author upon reasonable request.
References
Schaibley, J. R. et al. Valleytronics in 2D materials. Nat. Rev. Mater. 1, 16055 (2016).
Gorbachev, R. V. et al. Detecting topological currents in graphene superlattices. Science 346, 448–451 (2014).
Lundeberg, M. B. & Folk, J. A. Harnessing chirality for valleytronics. Science 346, 422–423 (2014).
Mak, K. F., McGill, K. L., Park, J. & McEuen, P. L. The valley Hall effect in MoS2 transistors. Science 344, 1489–1492 (2014).
Deng, F. et al. Observation of valley-dependent beams in photonic graphene. Opt. Express 22, 23605–23613 (2014).
Deng, F. et al. Valley-dependent beams controlled by pseudomagnetic field in distorted photonic graphene. Opt. Lett. 40, 3380–3383 (2015).
Dong, J. W., Chen, X. D., Zhu, H., Wang, Y. & Zhang, X. Valley photonic crystals for control of spin and topology. Nat. Mater. 16, 298–302 (2017).
Bleu, O., Solnyshkov, D. D. & Malpuech, G. Quantum valley Hall effect and perfect valley filter based on photonic analogs of transitional metal dichalcogenides. Phys. Rev. B 95, 235431 (2017).
Ma, T. & Shvets, G. All-Si valley-Hall photonic topological insulator. New J. Phys. 18, 025012 (2016).
Noh, J., Huang, S., Chen, K. P. & Rechtsman, M. C. Observation of photonic topological valley Hall edge states. Phys. Rev. Lett. 120, 063902 (2018).
Gao, F. et al. Topologically protected refraction of robust kink states in valley photonic crystals. Nat. Phys. 14, 140–144 (2018).
Ma, T. & Shvets, G. Scattering-free edge states between heterogeneous photonic topological insulators. Phys. Rev. B 95, 165102 (2017).
Lu, J., Qiu, C., Ke, M. & Liu, Z. Valley vortex states in sonic crystals. Phys. Rev. Lett. 116, 093901 (2016).
Ye, L. et al. Observation of acoustic valley vortex states and valley-chirality locked beam splitting. Phys. Rev. B 95, 174106 (2017).
Pal, R. K. & Ruzzene, M. Edge waves in plates with resonators: an elastic analogue of the quantum valley Hall effect. New J. Phys. 19, 025001 (2017).
Lu, J. et al. Valley topological phases in bilayer sonic crystals. Phys. Rev. Lett. 120, 116802 (2018).
Vila, J., Pal, R. K. & Ruzzene, M. Observation of topological valley modes in an elastic hexagonal lattice. Phys. Rev. B 96, 134307 (2017).
Lu, J. et al. Observation of topological valley transport of sound in sonic crystals. Nat. Phys. 13, 369–374 (2016).
Chen, J.-J., Huo, S.-Y., Geng, Z.-G., Huang, H.-B. & Zhu, X.-F. Topological valley transport of plate-mode waves in a homogenous thin plate with periodic stubbed surface. AIP Adv. 7, 115215 (2017).
Huo, S. Y., Chen, J. J., Huang, H. B. & Huang, G. L. Simultaneous multi-band valley-protected topological edge states of shear vertical wave in two-dimensional phononic crystals with veins. Sci. Rep. 7, 10335 (2017).
Liu, T.-W. & Semperlotti, F. Tunable acoustic valley-Hall edge states in reconfigurable phononic elastic waveguides. Phys. Rev. Appl. 9, 014001 (2018).
Xiao, D., Yao, W. & Niu, Q. Valley-contrasting physics in graphene: magnetic moment and topological transport. Phys. Rev. Lett. 99, 236809 (2007).
Xiao, D., Chang, M.-C. & Niu, Q. Berry phase effects on electronic properties. Rev. Mod. Phys. 82, 1959–2007 (2010).
Zhang, F., MacDonald, A. H. & Mele, E. J. Valley Chern numbers and boundary modes in gapped bilayer graphene. Proc. Natl Acad. Sci. USA 110, 10546–10551 (2013).
Lu, J. et al. Dirac cones in two-dimensional artificial crystals for classical waves. Phys. Rev. B 89, 134302 (2014).
Collins, M. J., Zhang, F., Bojko, R., Chrostowski, L. & Rechtsman, M. C. Integrated optical Dirac physics via inversion symmetry breaking. Phys. Rev. A 94, 063827 (2016).
Liu, J.-L., Ye, W.-M. & Zhang, S. Pseudospin-induced chirality with staggered optical graphene. Light Sci. Appl. 5, e16094 (2016).
Wu, X. et al. Direct observation of valley-polarized topological edge states in designer surface plasmon crystals. Nat. Commun. 8, 1304 (2017).
Graczykowski, B. et al. Phonon dispersion in hypersonic two-dimensional phononic crystal membranes. Phys. Rev. B 91, 075414 (2015).
Gorishnyy, T., Ullal, C. K., Maldovan, M., Fytas, G. & Thomas, E. L. Hypersonic phononic crystals. Phys. Rev. Lett. 94, 115501 (2005).
Maldovan, M. Sound and heat revolutions in phononics. Nature 503, 209–217 (2013).
Yudistira, D. et al. Nanoscale pillar hypersonic surface phononic crystals. Phys. Rev. B 94, 094304 (2016).
Pourabolghasem, R., Dehghannasiri, R., Eftekhar, A. A. & Adibi, A. Waveguiding effect in the gigahertz frequency range in pillar-based phononic-crystal slabs. Phys. Rev. Appl. 9, 014013 (2018).
Ghasemi Baboly, M., Reinke, C. M., Griffin, B. A., El-Kady, I. & Leseman, Z. C. Acoustic waveguiding in a silicon carbide phononic crystals at microwave frequencies. Appl. Phys. Lett. 112, 103504 (2018).
Hatanaka, D., Dodel, A., Mahboob, I., Onomitsu, K. & Yamaguchi, H. Phonon propagation dynamics in band-engineered one-dimensional phononic crystal waveguides. New J. Phys. 17, 113032 (2015).
Benchabane, S. et al. Guidance of surface waves in a micron-scale phononic crystal line-defect waveguide. Appl. Phys. Lett. 106, 081903 (2015).
Qiao, Z. et al. Current partition at topological channel intersections. Phys. Rev. Lett. 112, 206601 (2014).
Ren, Y., Zeng, J., Wang, K., Xu, F. & Qiao, Z. Tunable current partition at zero-line intersection of quantum anomalous Hall topologies. Phys. Rev. B 96, 155445 (2017).
Li, J., et al A valley valve and electron beam splitter in bilayer graphene. Preprint at https://arxiv.org/abs/1708.02311 (2017).
Yudistira, D. et al. Monolithic phononic crystals with a surface acoustic band gap from surface phonon–polariton coupling. Phys. Rev. Lett. 113, 215503 (2014).
Ash, B. J., Worsfold, S. R., Vukusic, P. & Nash, G. R. A highly attenuating and frequency tailorable annular hole phononic crystal for surface acoustic waves. Nat. Commun. 8, 174 (2017).
Chen, X.-D., Zhao, F.-L., Chen, M. & Dong, J.-W. Valley-contrasting physics in all-dielectric photonic crystals: orbital angular momentum and topological propagation. Phys. Rev. B 96, 020202 (2017).
Gao, Z. et al. Valley surface-wave photonic crystal and its bulk/edge transport. Phys. Rev. B 96, 201402 (2017).
Qiu, P. et al. Topologically protected edge states in graphene plasmonic crystals. Opt. Express 25, 22587–22594 (2017).
Wang, K. et al. Gate-tunable current partition in graphene-based topological zero lines. Phys. Rev. B 95, 245420 (2017).
Wu, Y. et al. Applications of topological photonics in integrated photonic devices. Adv. Opt. Mater. 5, 1700357 (2017).
Campbell, C. Surface Acoustic Wave Devices for Mobile and Wireless Communications (Academic, Orlando, 1998).
Morgan, D. P. A history of surface acoustic wave devices. Int. J. High Speed Electron. Syst. 10, 553–602 (2000).
Guo, Y., Brick, D., Großmann, M., Hettich, M. & Dekorsy, T. Acoustic beam splitting at low GHz frequencies in a defect-free phononic crystal. Appl. Phys. Lett. 110, 031904 (2017).
Olsson Iii, R. H. & El-Kady, I. Microfabricated phononic crystal devices and applications. Measure. Sci. Technol. 20, 012002 (2009).
Shilton, R. J., Langelier, S. M., Friend, J. R. & Yeo, L. Y. Surface acoustic wave solid-state rotational micromotor. Appl. Phys. Lett. 100, 033503 (2012).
Friend, J. & Yeo, L. Y. Microscale acoustofluidics: microfluidics driven via acoustics and ultrasonics. Rev. Mod. Phys. 83, 647–704 (2011).
Aspelmeyer, M., Kippenberg, T. J. & Marquardt, F. Cavity optomechanics. Rev. Mod. Phys. 86, 1391–1452 (2014).
Balram, K. C., Davanco, M. I., Song, J. D. & Srinivasan, K. Coherent coupling between radio frequency, optical, and acoustic waves in piezo-optomechanical circuits. Nat. Photon. 10, 346–352 (2016).
Acknowledgements
We thank J. Li and B. Miao for micro fabrication. We thank S. Yin for scanning electron microscope. This work is supported by the National Key R&D Program of China (grant no. 2018FYA0305800), the National Basic Research Program of China (grant no. 2015CB755500), the National Natural Science Foundation of China (grant nos 11804101, 11572318, 11604102, 11774275 and 11704128), Guangdong Innovative and Entrepreneurial Research Team Program (grant no. 2016ZT06C594) and the National Postdoctoral Program for Innovative Talents (BX201600054 and BX201700082).
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M.Y. and F.L. designed and performed the experiments. M.Y. and J.L. carried out the numerical simulations. Z.L. supervised the project. All the authors contributed to the analyses and the preparation of the manuscript.
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Supplements A-D, Supplementary Figures 1–13, Supplementary References 1–4
K1 valley state
Displacement fields of the K1 valley state
K2 valley state
Displacement fields of the K2 valley state
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Yan, M., Lu, J., Li, F. et al. On-chip valley topological materials for elastic wave manipulation. Nature Mater 17, 993–998 (2018). https://doi.org/10.1038/s41563-018-0191-5
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DOI: https://doi.org/10.1038/s41563-018-0191-5
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