Abstract
Interfacing nanomechanics with photonics and charge/spin-based electronics has transformed information technology and facilitated fundamental searches for the quantum-to-classical transition1,2,3. Utilizing the electron valley degree of freedom as an information carrier, valleytronics has recently emerged as a promising platform for developments in computation and communication4,5,9,10,11,12,13,14,15,16. Here, we realize valley–mechanical coupling in a resonator made of the monolayer semiconductor MoS2 and transduce valley information into mechanical states. The coupling is achieved by exploiting the magnetic moment of valley carriers with a magnetic field gradient. We optically populate the valleys and observe the resulting mechanical actuation using laser interferometry. We are thus able to control the valley–mechanical interaction by adjusting the pump-laser light, the magnetic field gradient and temperature. Our work paves the way for realizing valley-actuated devices and hybrid valley quantum systems.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41566-019-0428-0/MediaObjects/41566_2019_428_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41566-019-0428-0/MediaObjects/41566_2019_428_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41566-019-0428-0/MediaObjects/41566_2019_428_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1038%2Fs41566-019-0428-0/MediaObjects/41566_2019_428_Fig4_HTML.png)
Similar content being viewed by others
Data availability
The data that support the plots within this paper and other findings of this study are available from the corresponding author upon reasonable request.
References
Craighead, H. G. Nanoelectromechanical systems. Science 290, 1532–1535 (2000).
Roukes, M. Nanoelectromechanical systems face the future. Phys. World 14, 25–31 (2001).
Midolo, L., Schliesser, A. & Fiore, A. Nano-opto-electro-mechanical systems. Nat. Nanotechnol. 13, 11–18 (2018).
Rycerz, A., Tworzydlo, J. & Beenakker, C. W. J. Valley filter and valley valve in graphene. Nat. Phys. 3, 172–175 (2007).
Culcer, D., Saraiva, A. L., Koiller, B., Hu, X. & Sarma, S. D. Valley-based noise-resistant quantum computation using Si quantum dots. Phys. Rev. Lett. 108, 126804 (2012).
Xu, X., Yao, W., **ao, D. & Heinz, T. F. Spin and pseudospins in layered transition metal dichalcogenides. Nat. Phys. 10, 343–350 (2014).
Mak, K. F., **ao, D. & Shan, J. Light–valley interactions in 2D semiconductors. Nat. Photon. 12, 451–460 (2018).
**ao, D., Liu, G.-B., Feng, W., Xu, X. & Yao, W. Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides. Phys. Rev. Lett. 108, 196802 (2012).
Zeng, H., Dai, J., Yao, W., **. Nat. Nanotechnol. 7, 490–493 (2012).
Mak, K. F., He, K., Shan, J. & Heinz, T. F. Control of valley polarization in monolayer MoS2 by optical helicity. Nat. Nanotechnol. 7, 494–498 (2012).
Mak, K. F., McGill, K. L., Park, J. & McEuen, P. L. The valley Hall effect in MoS2 transistors. Science 344, 1489–1492 (2014).
Ye, Z., Sun, D. & Heinz, T. F. Optical manipulation of valley pseudospin. Nat. Phys. 13, 26–29 (2017).
Aivazian, G. et al. Magnetic control of valley pseudospin in monolayer WSe2. Nat. Phys. 11, 148–152 (2015).
Srivastava, A. et al. Valley Zeeman effect in elementary optical excitations of monolayer WSe2. Nat. Phys. 11, 141–147 (2015).
Ye, Y. et al. Electrical generation and control of the valley carriers in a monolayer transition metal dichalcogenide. Nat. Nanotechnol. 11, 598–602 (2016).
Lee, J., Wang, Z., **e, H., Mak, K. F. & Shan, J. Valley magnetoelectricity in single-layer MoS2. Nat. Mater. 16, 887–891 (2017).
Gubbi, J., Buyya, R., Marusic, S. & Palaniswami, M. Internet of Things (IoT): a vision, architectural elements, and future directions. Future Gener. Comput. Syst. 29, 1645–1660 (2013).
Rebeiz, G. M. RF MEMS: Theory, Design, and Technology (John Wiley and Sons, 2004).
Kovacs, G. T. A. Micromachined Transducers Sourcebook (WCB/McGraw-Hill, 1998).
O’Connell, A. D. et al. Quantum ground state and single-phonon control of a mechanical resonator. Nature 464, 697–703 (2010).
Palomaki, T. A., Harlow, J. W., Teufel, J. D., Simmonds, R. W. & Lehnert, K. W. Coherent state transfer between itinerant microwave fields and a mechanical oscillator. Nature 495, 210–214 (2013).
Chu, Y. et al. Quantum acoustics with superconducting qubits. Science 358, 199–202 (2017).
Bunch, J. S. et al. Electromechanical resonators from graphene sheets. Science 315, 490–493 (2007).
Chen, C. et al. Performance of monolayer graphene nanomechanical resonators with electrical readout. Nat. Nanotechnol. 4, 861–867 (2009).
Castellanos-Gomez, A. et al. Single-layer MoS2 mechanical resonators. Adv. Mater. 25, 6719–6723 (2013).
Lee, C., Wei, X., Kysar, J. W. & Hone, J. Measurement of the elastic properties and intrinsic strength of monolayer graphene. Science 321, 385–388 (2008).
Morell, N. et al. High quality factor mechanical resonators based on WSe2 monolayers. Nano Lett. 16, 5102–5108 (2016).
Jensen, K., Kim, K. & Zettl, A. An atomic-resolution nanomechanical mass sensor. Nat. Nanotechnol. 3, 533–537 (2008).
Wang, Z. & Feng, P. X.-L. Interferometric motion detection in atomic layer 2D nanostructures: visualizing signal transduction efficiency and optimization pathways. Sci. Rep. 6, 28923 (2016).
Lagarde, D. et al. Carrier and polarization dynamics in monolayer MoS2. Phys. Rev. Lett. 112, 047401 (2014).
Yang, L. et al. Long-lived nanosecond spin relaxation and spin coherence of electrons in monolayer MoS2 and WS2. Nat. Phys. 11, 830–834 (2015).
Plechinger, G. et al. Valley dynamics of excitons in monolayer dichalcogenides. Phys. Status Solidi RRL 11, 1700131 (2017).
Carvalho, B. R. et al. Intervalley scattering by acoustic phonons in two-dimensional MoS2 revealed by double-resonance Raman spectroscopy. Nat. Commun. 8, 14670 (2017).
Tao, Y., Eichler, A., Holzherr, T. & Degen, C. L. Ultrasensitive mechanical detection of magnetic moment using a commercial disk drive write head. Nat. Commun. 7, 12714 (2016).
Kim, J. et al. Observation of ultralong valley lifetime in WSe2/MoS2 heterostructures. Sci. Adv. 3, e1700518 (2017).
Fong, K. Y. et al. Valley-optomechanics in a monolayer semiconductor. Proc. SPIE 10733, 107330E (2018).
Acknowledgements
We acknowledge support from the US Department of Energy, Office of Science, Office of Basic Energy Sciences, Materials Sciences and Engineering Division under contract number DEAC02-05-CH11231 (van der Waals Heterostructures Program, KCWF16) for theory, device fabrication and data analysis; from the King Abdullah University of Science and Technology (KAUST), Office of Sponsored Research (OSR) under award number OSR-2016-CRG5-2996 for sample preparation; and from the Office of Naval Research (ONR) MURI programme under grant number N00014-13-1-0631 for mechanical design and measurements.
Author information
Authors and Affiliations
Contributions
K.Y.F., H.Z., H.-K.L. and X.Z. conceived the project. H.-K.L. and K.Y.F. designed the experiment and performed the measurement. K.Y.F., H.-K.L., S.W. and S.Y. fabricated the substrate. H.-K.L., Q.L. and S.W. performed the MoS2 transfer. H.-K.L., K.Y.F., H.Z. and X.Z. analysed the data and wrote the manuscript with inputs from all authors. X.Z., Y.W. and S.Y. guided the research.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
Supplementary Information
This file contains more information about the work and Supplementary Figures 1−17.
Rights and permissions
About this article
Cite this article
Li, HK., Fong, K.Y., Zhu, H. et al. Valley optomechanics in a monolayer semiconductor. Nat. Photonics 13, 397–401 (2019). https://doi.org/10.1038/s41566-019-0428-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/s41566-019-0428-0
- Springer Nature Limited
This article is cited by
-
A monolithically sculpted van der Waals nano-opto-electro-mechanical coupler
Light: Science & Applications (2022)
-
Silica optical fiber integrated with two-dimensional materials: towards opto-electro-mechanical technology
Light: Science & Applications (2021)
-
Spectroscopic trace of the Lifshitz transition and multivalley activation in thermoelectric SnSe under high pressure
NPG Asia Materials (2021)