Abstract
Nonlinear optical frequency conversion, in which optical fields interact with a nonlinear medium to produce new field frequencies1, is ubiquitous in modern photonic systems. However, the nonlinear electric susceptibilities that give rise to such phenomena are often challenging to tune in a given material and, so far, dynamical control of optical nonlinearities remains confined to research laboratories as a spectroscopic tool2. Here, we report a mechanism to electrically control second-order optical nonlinearities in monolayer WSe2, an atomically thin semiconductor. We show that the intensity of second-harmonic generation at the A-exciton resonance is tunable by over an order of magnitude at low temperature and nearly a factor of four at room temperature through electrostatic doping in a field-effect transistor. Such tunability arises from the strong exciton charging effects in monolayer semiconductors3,4, which allow for exceptional control over the oscillator strengths at the exciton and trion resonances. The exciton-enhanced second-harmonic generation is counter-circularly polarized to the excitation laser due to the combination of the two-photon and one-photon valley selection rules5,6,7,8, which have opposite helicity in the monolayer. Our study paves the way towards a new platform for chip-scale, electrically tunable nonlinear optical devices based on two-dimensional semiconductors.
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References
Shen, Y. R. The Principles of Nonlinear Optics (Wiley, 1984).
Terhune, R. W., Maker, P. D. & Savage, C. M. Optical harmonic generation in calcite. Phys. Rev. Lett. 8, 404–406 (1962).
Mak, K. F. et al. Tightly bound trions in monolayer MoS2 . Nature Mater. 12, 207–211 (2013).
Ross, J. S. et al. Electrical control of neutral and charged excitons in a monolayer semiconductor. Nature Commun. 4, 1474 (2013).
Xiao, 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).
Mak, K. F., He, K., Shan, J. & Heinz, T. F. Control of valley polarization in monolayer MoS2 by optical helicity. Nature Nanotech. 7, 494–498 (2012).
Zeng, H., Dai, J., Yao, W., Xiao, D. & Cui, X. Valley polarization in MoS2 monolayers by optical pumping. Nature Nanotech. 7, 490–493 (2012).
Cao, T. et al. Valley-selective circular dichroism of monolayer molybdenum disulphide. Nature Commun. 3, 887 (2012).
Cai, W., Vasudev, A. & Brongersma, M. Electrically controlled nonlinear generation of light with plasmonics. Science 333, 1720–1723 (2011).
Kang, L. et al. Electrifying photonic metamaterials for tunable nonlinear optics. Nature Commun. 5, 4680 (2014).
Ruzicka, R. A. et al. Second-harmonic generation induced by electric currents in GaAs. Phys. Rev. Lett. 108, 077403 (2012).
Ding, W., Zhou, L. & Chou, S. Y. Enhancement and electric charge-assisted tuning of nonlinear light generation in bipolar plasmonics. Nano Lett. 14, 2822–2830 (2014).
Sitori, C., Capasso, F., Sivco, D. L., Hutchinson, A. L. & Cho, A. Y. Resonant Stark tuning of second-order susceptibility in coupled quantum wells. Appl. Phys. Lett. 60, 151–153 (1992).
Ramasubramaniam, A. Large excitonic effects in monolayers of molybdenum and tungsten dichalcogenides. Phys. Rev. B 86, 115409 (2012).
Chernikov, A. et al. Exciton binding energy and nonhydrogenic exciton Rydberg series in monolayer WS2 . Phys. Rev. Lett. 113, 076802 (2014).
Ye, Z. et al. Probing excitonic dark states in single-layer tungsten disulfide. Nature 513, 214–218 (2014).
He, K. et al. Tightly bound excitons in monolayer WSe2 . Phys. Rev. Lett. 113, 026803 (2014).
Wang, G. et al. Giant enhancement of the optical second-harmonic emission of WSe2 monolayers by laser excitation at exciton resonances. Phys. Rev. Lett. 114, 097403 (2015).
Zhu, B., Chen, X. & Cui, X. Exciton binding energy of monolayer WS2 . Sci. Rep. 5, 9218 (2015).
Ugeda, U. M. et al. Giant bandgap renormalization and excitonic effects in a monolayer transition metal dichalcogenide semiconductor. Nature Mater. 13, 1091–1095 (2014).
Jones, A. M. et al. Optical generation of excitonic valley coherence in monolayer WSe2 . Nature Nanotech. 8, 634–638 (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, 3329–3333 (2013).
Kumar, N. et al. Second harmonic microscopy of monolayer MoS2 . Phys. Rev. B 87, 161403 (2013).
Zeng, H. et al. Optical signature of symmetry variations and spin–valley coupling in atomically thin tungsten dichalcogenides. Sci. Rep. 3, 1608 (2013).
Janisch, C. et al. Extraordinary second harmonic generation in tungsten disulfide monolayers. Sci. Rep. 4, 5530 (2014).
Yin, X. et al. Edge nonlinear optics on a MoS2 atomic monolayer. Science 344, 488–490 (2014).
Jiang, T. et al. Valley and band structure engineering of folded MoS2 bilayers. Nature Nanotech. 9, 825–829 (2014).
Newaz, A. K. M. et al. Electrical control of optical properties of monolayer MoS2 . Solid State Comm. 155, 49–52 (2013).
Miller, D. A. B. et al. Band-edge electroabsorption in quantum well structures: the quantum-confined Stark effect. Phys. Rev. Lett. 53, 2173–2176 (1984).
Simon, H. J. & Bloembergen, N. Second-harmonic light generation in crystals with natural optical activity. Phys. Rev. 171, 1104–1114 (1968).
Chen, Y. et al. Tunable band gap photoluminescence from atomically thin transition-metal dichalcogenides alloys. ACS Nano 7, 4610–4616 (2013).
Mann, J. et al. 2-Dimensional transition metal dichalcogenides with tunable direct band gaps: MoS2(1–x)Se2x monolayers. Adv. Mater. 26, 1399–1404 (2014).
Tongay, S. et al. Two-dimensional semiconductor alloys: monolayer Mo1−xWxSe2 . Appl. Phys. Lett. 104, 012101 (2014).
Hagimoto, K. & Mito, A. Determination of the second-order susceptibility of ammonium dihydrogen phosphate and α-quartz at 633 nm and 1064 nm. Appl. Opt. 34, 8276–8282 (1995).
Acknowledgements
This work was mainly supported by the Department of Energy Office of Basic Energy Sciences (DoE BES, DE-SC0008145 and SC0012509). Device fabrication was partially supported by the National Science Foundation (NSF, DMR-1150719). P.G. and W.Y. were supported by the Research Grant Council (HKU705513P and HKU9/CRF/13G) and University Grant Council (AoE/P-04/08) of the government of Hong Kong, and the Croucher Foundation under the Croucher Innovation Award. J.Y. and D.M. were supported by the US DoE, BES, the Materials Sciences and Engineering Division. X.X. acknowledges support from the Cottrell Scholar Award, and S.W. acknowledges support from the State of Washington funded Clean Energy Institute. Device fabrication was performed at the Washington Nanofabrication Facility and NSF-funded Nanotech User Facility.
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X.X. conceived the idea. K.L.S. designed the experiment and performed the measurements, assisted by J.R.S., A.M.J., and P.R. P.R. and K.L.S. fabricated the devices. J.Y. and D.M. synthesized and characterized the bulk WSe2 crystal. K.L.S. performed data analysis, with input from P.G., J.R.S., S.W., X.X. and W.Y. K.L.S. wrote the manuscript, assisted by X.X., J.R.S. and W.Y. All authors discussed the results and commented on the manuscript.
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Seyler, K., Schaibley, J., Gong, P. et al. Electrical control of second-harmonic generation in a WSe2 monolayer transistor. Nature Nanotech 10, 407–411 (2015). https://doi.org/10.1038/nnano.2015.73
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DOI: https://doi.org/10.1038/nnano.2015.73
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