Abstract
Nonlinear physics is one of the most important research fields in modern physics and materials science. It offers an unprecedented paradigm for exploring many fascinating physical phenomena and realizing diverse cutting-edge applications inconceivable in the framework of linear processes. Here we review the recent theoretical and experimental progress concerning the nonlinear physics of synthetic quantum moiré superlattices. We focus on the emerging nonlinear electronic, optical and optoelectronic properties of moiré superlattices, including but not limited to the nonlinear anomalous Hall effect, dynamically twistable harmonic generation, nonlinear optical chirality, ultralow-power-threshold optical solitons and spontaneous photogalvanic effect. We also present our perspectives on the future opportunities and challenges in this rapidly progressing field, and highlight the implications for advances in both fundamental physics and technological innovations.
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Acknowledgements
We acknowledge discussion with F. Xia and Y. S. Kivshar. We acknowledge financial support from the National Science Foundation of China (NSFC) (grants 61888102 and 12274447), the National Key Research and Development Program (grants 2021YFA1202900 and 2023YFA1407000), the Strategic Priority Research Program of the Chinese Academy of Sciences (grant XDB0470101), the Academy of Finland (314810, 333982, 336144, 336818, 352780, 352930, 360411 and 353364), the Academy of Finland Flagship Programme (320167, PREIN), ERC (834742), the EU H2020-MSCA-RISE-872049 (IPN-Bio), the Jane and Aatos Erkko foundation and the Technology Industries of Finland centennial foundation (Future Makers 2022), the Air Force Office of Scientific Research (grant FA2386-21-1-4066), the National Science Foundation (grant DMR 2132470) and the Army Research Office (grant W911NF-17-1-0312).
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L.D. and Z.S. conceived the idea. L.D., Z.H., J.Z., F.Y., H.D., G.Z. and Z.S. led the writing. All authors reviewed and edited the paper before submission.
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Du, L., Huang, Z., Zhang, J. et al. Nonlinear physics of moiré superlattices. Nat. Mater. 23, 1179–1192 (2024). https://doi.org/10.1038/s41563-024-01951-8
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DOI: https://doi.org/10.1038/s41563-024-01951-8