Koren, E. et al. Coherent commensurate electronic states at the interface between misoriented graphene layers. Nat. Nanotechnol. 11, 752â757 (2016).
Chari, T., Ribeiro-Palau, R., Dean, C. R. & Shepard, K. Resistivity of rotated graphiteâgraphene contacts. Nano Lett. 16, 4477â4482 (2016).
Ribeiro-Palau, R. et al. Twistable electronics with dynamically rotatable heterostructures. Science 361, 690â693 (2018).
Yang, Y. et al. In situ manipulation of van der Waals heterostructures for twistronics. Sci. Adv. 6, eabd3655 (2020).
Hu, C. et al. In-situ twistable bilayer graphene. Sci. Rep. 12, 204 (2022).
Inbar, A. et al. The quantum twisting microscope. Nature 614, 682â687 (2023).
Yao, K. et al. Enhanced tunable second harmonic generation from twistable interfaces and vertical superlattices in boron nitride homostructures. Sci. Adv. 7, eabe8691 (2021).
Yuan, L., Lin, Q., Xiao, M. & Fan, S. Synthetic dimension in photonics. Optica 5, 1396â1405 (2018).
Ozawa, T. & Price, H. M. Topological quantum matter in synthetic dimensions. Nat. Rev. Phys. 1, 349â357 (2019).
Göbel, B., Mertig, I. & Tretiakov, O. A. Beyond skyrmions: Review and perspectives of alternative magnetic quasiparticles. Phys. Rep. 895, 1â28 (2021).
Novoselov, K. S., Mishchenko, A., Carvalho, A. & Neto, A. H. C. 2D materials and van der Waals heterostructures. Science 353, aac9439 (2016).
Suárez Morell, E., Correa, J. D., Vargas, P., Pacheco, M. & Barticevic, Z. Flat bands in slightly twisted bilayer graphene: Tight-binding calculations. Phys. Rev. B 82, 121407 (2010).
Bistritzer, R. & MacDonald, A. H. Moiré bands in twisted double-layer graphene. Proc. Natl Acad. Sci. USA 108, 12233â12237 (2011).
Cao, Y. et al. Correlated insulator behaviour at half-filling in magic-angle graphene superlattices. Nature 556, 80â84 (2018).
Cao, Y. et al. Unconventional superconductivity in magic-angle graphene superlattices. Nature 556, 43â50 (2018).
Andrei, E. Y. et al. The marvels of moiré materials. Nat. Rev. Mater. 6, 201â206 (2021).
Mak, K. F. & Shan, J. Semiconductor moiré materials. Nat. Nanotechnol. 17, 686â695 (2022).
Liu, Y. et al. Van der Waals heterostructures and devices. Nat. Rev. Mater. 1, 16042 (2016).
Meng, Y. et al. Photonic van der Waals integration from 2D materials to 3D nanomembranes. Nat. Rev. Mater. 8, 498â517 (2023).
Lau, C. N., Bockrath, M. W., Mak, K. F. & Zhang, F. Reproducibility in the fabrication and physics of moiré materials. Nature 602, 41â50 (2022).
Bell, D. J., Lu, T. J., Fleck, N. A. & Spearing, S. M. MEMS actuators and sensors: observations on their performance and selection for purpose. J. Micromech. Microeng. 15, S153 (2005).
Algamili, A. S. et al. A review of actuation and sensing mechanisms in MEMS-based sensor devices. Nanoscale Res. Lett. 16, 16 (2021).
Stranczl, M., Sarajlic, E., Fujita, H., Gijs, M. A. M. & Yamahata, C. High-angular-range electrostatic rotary stepper micromotors fabricated with SOI technology. J. Microelectromech. Syst. 21, 605â620 (2012).
Cao, K. et al. Elastic straining of free-standing monolayer graphene. Nat. Commun. 11, 284 (2020).
Zhang, Y., Gao, Y. & Xiao, D. Topological charge pumping in twisted bilayer graphene. Phys. Rev. B 101, 041410 (2020).
Su, Y. & Lin, S.-Z. Topological sliding moiré heterostructure. Phys. Rev. B 101, 041113 (2020).
Wang, G. et al. Recent advances in the mechanics of 2D materials. Int. J. Extrem. Manuf. 5, 032002 (2023).
Kumar, N. et al. Second harmonic microscopy of monolayer MoS2. Phys. Rev. B 87, 161403 (2013).
Malard, L. M., Alencar, T. V., Barboza, A. P. M., Mak, K. F. & de Paula, A. M. Observation of intense second harmonic generation from MoS2 atomic crystals. Phys. Rev. B 87, 201401 (2013).
Li, Y. et al. Probing symmetry properties of few-layer MoS2 and h-BN by optical second-harmonic generation. Nano Lett. 13, 3329â3333 (2013).
Yi, F. et al. Optomechanical enhancement of doubly resonant 2D optical nonlinearity. Nano Lett. 16, 1631â1636 (2016).
Day, J. K., Chung, M.-H., Lee, Y.-H. & Menon, V. M. Microcavity enhanced second harmonic generation in 2D MoS2. Opt. Mater. Express 6, 2360â2365 (2016).
Fryett, T. K. et al. Silicon photonic crystal cavity enhanced second-harmonic generation from monolayer WSe2. 2D Mater. 4, 015031 (2016).
Akselrod, G. M. et al. Leveraging nanocavity harmonics for control of optical processes in 2D semiconductors. Nano Lett. 15, 3578â3584 (2015).
Haigh, S. J. et al. Cross-sectional imaging of individual layers and buried interfaces of graphene-based heterostructures and superlattices. Nat. Mater. 11, 764â767 (2012).
Lee, C., Wei, X., Kysar, J. W. & Hone, J. Measurement of the elastic properties and intrinsic strength of monolayer graphene. Science 321, 385â388 (2008).
Rokni, H. & Lu, W. Direct measurements of interfacial adhesion in 2D materials and van der Waals heterostructures in ambient air. Nat. Commun. 11, 5607 (2020).
Kim, C.-J. et al. Chiral atomically thin films. Nat. Nanotechnol. 11, 520â524 (2016).
Gorbachev, R. V. et al. Hunting for monolayer boron nitride: optical and Raman signatures. Small 7, 465â468 (2011).
KreÄmarová, M. et al. Optical contrast and Raman spectroscopy techniques applied to few-layer 2D hexagonal boron nitride. Nanomaterials 9, 1047 (2019).
Guo, C., Xiao, M., Guo, Y., Yuan, L. & Fan, S. Meron spin textures in momentum space. Phys. Rev. Lett. 124, 106103 (2020).
Guo, Q. et al. Ultrathin quantum light source with van der Waals NbOCl2 crystal. Nature 613, 53â59 (2023).
Klimmer, S. et al. All-optical polarization and amplitude modulation of second-harmonic generation in atomically thin semiconductors. Nat. Photon. 15, 837â842 (2021).
Zhang, C., Huang, Y.-F., Liu, B.-H., Li, C.-F. & Guo, G.-C. Spontaneous parametric down-conversion sources for multiphoton experiments. Adv. Quant. Technol. 4, 2000132 (2021).
Shi, J. et al. 3R MoS2 with broken inversion symmetry: a promising ultrathin nonlinear optical device. Adv. Mater. 29, 1701486 (2017).
Tang, H. et al. Experimental probe of twist angleâdependent band structure of on-chip optical bilayer photonic crystal. Sci. Adv. 9, eadh8498 (2023).
Sari, I., Zeimpekis, I. & Kraft, M. A dicing free SOI process for MEMS devices. Microelectron. Eng. 95, 121â129 (2012).
Collett, E. Polarized Light: Fundamentals and Applications (Marcel Dekker, 1993).
Yang, F. et al. Tunable second harmonic generation in twisted bilayer. Graphene. Matter 3, 1361â1376 (2020).
Kim, B. et al. Three-dimensional nonlinear optical materials from twisted two-dimensional van der Waals interfaces. Nat. Photon. 18, 91â98 (2024).
Wang, W. et al. Evidence for an edge supercurrent in the Weyl superconductor MoTe2. Science 368, 534â537 (2020).
Kapfer, M. et al. Programming twist angle and strain profiles in 2D materials. Science 381, 677â681 (2023).
Ning, T., Zhao, L., Huo, Y., Cai, Y. & Ren, Y. Giant enhancement of second harmonic generation from monolayer 2D materials placed on photonic moiré superlattice. Nanophotonics 12, 4009â4016 (2023).
Santiago-Cruz, T. et al. Photon pairs from resonant metasurfaces. Nano Lett. 21, 4423â4429 (2021).
Zhang, J. et al. Spatially entangled photon pairs from lithium niobate nonlocal metasurfaces. Sci. Adv. 8, eabq4240 (2022).
Wang, H. et al. All-optical ultrafast polarization switching with nonlinear plasmonic metasurfaces. Sci. Adv. 10, eadk3882 (2024).
Tang, H. et al. On-chip multidimensional dynamic control of twisted moiré photonic crystal for smart sensing and imaging. Preprint at https://doi.org/10.48550/arXiv.2312.09089 (2023).
Yankowitz, M. et al. Tuning superconductivity in twisted bilayer graphene. Science 363, 1059â1064 (2019).