Acoustic waves are versatile on-chip information carriers that can be used in applications such as microwave filters and transducers. Nonreciprocal devices, in which the transmission of waves is non-symmetric between two ports, are desirable for the manipulation and routing of phonons, but building acoustic non-reciprocal devices is difficult because acoustic systems typically have a linear response. Here, we report non-reciprocal transmission of microwave surface acoustic waves using a nonlinear parity–time symmetric system based on two coupled acoustic resonators in a lithium niobate platform. Owing to the strong piezoelectricity of lithium niobate, we can tune the gain, loss and nonlinearity of the system using electric circuitry. Our approach can achieve 10 dB of non-reciprocal transmission for surface acoustic waves at a frequency of 200 MHz, and we use it to demonstrate a one-way circulation of acoustic waves in cascading non-reciprocal devices.
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We thank S. Bogdanovic, M. Yu, M. Zhang, C. Chia, B. Machielse and Y.-F. Xiao for fruitful discussions. This work is supported by the STC Center for Integrated Quantum Materials, NSF grant no. DMR-1231319, NSF CQIS grant no. ECCS-1810233, ONR MURI grant no. N00014-15-1-2761 and AFOSR MURI grant no. FA9550-14-1-0389. N.S. acknowledges support by the Natural Sciences and Engineering Research Council of Canada (NSERC), the AQT Intelligent Quantum Networks and Technologies (INQNET) research programme and the DOE/HEP QuantISED programme grant and QCCFP (Quantum Communication Channels for Fundamental Physics) award no. DE-SC0019219. W.M. acknowledges support from the undergraduate overseas internship programme of Nankai University supported by the National Science Fund for Talent Training in the Basic Sciences, grant no. J1103208. This work was performed in part at the Center for Nanoscale Systems (CNS), Harvard University.
M.L. is involved in developing lithium niobate technologies at HyperLight Corporation. The other authors declare no competing interests.
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Extended Data Fig. 1 Photo of the printed circuit board (PCB) used for non-reciprocal SAW device measurements.
This PCB supports simultaneous measurements of two devices. Signal from Port 1 to Port 2 is defined as the forward direction.
Extended Data Fig. 2 Measured non-reciprocity of the broken-PT-symmetric SAW resonators versus various input powers.
The non-reciprocity is defined in Equ. (1).
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Shao, L., Mao, W., Maity, S. et al. Non-reciprocal transmission of microwave acoustic waves in nonlinear parity–time symmetric resonators. Nat Electron 3, 267–272 (2020). https://doi.org/10.1038/s41928-020-0414-z
Nature Electronics (2020)