Abstract
Strain is a powerful tool to modify the optical properties of semiconducting transition metal dichalcogenides like MoS2, MoSe2, WS2 and WSe2. In this work we provide a thorough description of the technical details to perform uniaxial strain measurements on these two-dimensional semiconductors and we provide a straightforward calibration method to determine the amount of applied strain with high accuracy. We then employ reflectance spectroscopy to analyze the strain tunability of the electronic properties of single-, bi- and tri-layer MoS2, MoSe2, WS2 and WSe2. Finally, we quantify the flake-to-flake variability by analyzing 15 different single-layer MoS2 flakes.
Similar content being viewed by others
References
Roldán, R.; Castellanos-Gomez, A.; Cappelluti, E.; Guinea F. Strain engineering in semiconducting two-dimensional crystals. J. Phys. Condens. Matter2015, 27, 313201.
Amorim, B.; Cortijo, A.; de Juan, F.; Grushin, A. G.; Guinea, F.; Gutiérrez-Rubio, A.; Ochoa, H.; Parente, V.; San-Jose, P.; Schiefele, J. et al. Novel effects of strains in graphene and other two dimensional materials. Phys. Rep.2016, 617, 1–54.
Lee, C.; Wei, X. D.; Kysar, J. W.; Hone, J. Measurement of the elastic properties and intrinsic strength of monolayer graphene. Science2008, 32, 385–388.
Bertolazzi, S.; Brivio, J.; Kis, A. Stretching and breaking of ultrathin MoS2. ACS Nano2011, 5, 9703–9709.
Castellanos-Gomez, A.; Poot, M.; Steele, G. A.; van der Zant, H. S. J.; Agraït, N.; Rubio-Bollinger, G. Elastic properties of freely suspended MoS2 nanosheets. Adv. Mater.2012, 24, 772–775.
Castellanos-Gomez, A.; Singh, V.; van der Zant, H. S. J.; Steele, G. A. Mechanics of freely-suspended ultrathin layered materials. Ann. Phys.2015, 527, 27–44.
Conley, H. J.; Wang, B.; Ziegler, J. I.; Haglund, R. F. Jr; Pantelides, S. T.; Bolotin, K. I. Bandgap engineering of strained monolayer and bilayer MoS2. Nano Lett.2013, 13, 3626–3630.
He, K. L.; Poole, C.; Mak, K. F.; Shan, J. Experimental demonstration of continuous electronic structure tuning via strain in atomically thin MoS2. Nano Lett.2013, 13, 2931–2936.
Castellanos-Gomez, A.; Roldán, R.; Cappelluti, E.; Buscema, M.; Guinea F.; van der Zant, H. S. J.; Steele, G. A. Local strain engineering in atomically thin MoS2. Nano Lett.2013, 13, 5361–5366.
Hui, Y. Y.; Liu, X. F.; Jie, W. J.; Chan, N. Y.; Hao, J. H.; Hsu, Y. T.; Li, L. J.; Guo, W. L.; Lau, S. P. Exceptional tunability of band energy in a compressively strained trilayer MoS2 sheet. ACS Nano2013, 7, 7126–7131.
Lloyd, D.; Liu, X. H.; Christopher, J. W.; Cantley, L.; Wadehra, A.; Kim, B. L.; Goldberg, B. B.; Swan, A. K.; Bunch, J. S. Band gap engineering with ultralarge biaxial strains in suspended monolayer MoS2. Nano Lett.2016, 16, 5836–5841.
Zhu, C. R.; Wang, G.; Liu, B. L.; Marie, X.; Qiao, X. F.; Zhang, X.; Wu, X. X.; Fan, H.; Tan, P. H.; Amand, T. et al. Strain tuning of optical emission energy and polarization in monolayer and bilayer MoS2. Phys. Rev. B2013, 8, 121301.
Wang, Y. L.; Cong, C. X.; Yang, W. H.; Shang, J. Z.; Peimyoo, N.; Chen, Y.; Kang J. Y.; Wang, J. P.; Huang, W.; Yu, T. Strain-induced direct-indirect band gap transition and phonon modulation in monolayer WS2. Nano Res.2015, 8, 2562–2572.
Liu, Z.; Amani, M.; Najmaei, S.; Xu, Q.; Zou, X. L.; Zhou, W.; Yu, T.; Qiu, C. Y.; Birdwell, A. G.; Crowne, F. J. et al. Strain and structure heterogeneity in MoS2 atomic layers grown by chemical vapour deposition. Nat. Commun.2014, 5, 5246.
Frisenda, R.; Drüppel, M.; Schmidt, R.; de Vasconcellos, S. M.; de Lara, D. P.; Bratschitsch, R.; Rohlfing, M.; Castellanos-Gomez, A. Biaxial strain tuning of the optical properties of single-layer transition metal dichalcogenides. npj 2D Mater. Appl.2017, 1, 10.
Zhao, Q. H.; Frisenda, R.; Wang, T.; Castellanos-Gomez, A. InSe: A two-dimensional semiconductor with superior flexibility. Nanoscale2019, 11, 9845–9850.
Taghavi, N. S.; Gant, P.; Huang, P.; Niehues, I.; Schmidt, R.; de Vasconcellos, S. M.; Bratschitsch, R.; García-Hernández, M.; Frisenda, R.; Castellanos-Gomez, A. Thickness determination of MoS2, MoSe2, WS2 and WSe2 on transparent stamps used for deterministic transfer of 2D materials. Nano Res.2019, 12, 1691–1695.
Backes, C.; Abdelkader, A. M.; Alonso, C.; Andrieux-Ledier, A.; Arenal, R.; Azpeitia, J.; Balakrishnan, N.; Banszerus, L.; Barjon, J.; Bartali, R. et al. Production and processing of graphene and related materials. 2D Mater.2020, 7, 022001.
Niu, Y.; Gonzalez-Abad, S.; Frisenda, R.; Marauhn, P.; Drüppel, M.; Gant, P.; Schmidt, R.; Taghavi, N. S.; Barcons, D.; Molina-Mendoza, A. J. et al. Thickness-dependent differential reflectance spectra of monolayer and few-layer MoS2, MoSe2, WS2 and WSe2. Nanomaterials2018, 8, 725.
Castellanos-Gomez, A.; Buscema, M.; Molenaar, R.; Singh, V.; Janssen, L.; van der Zant, H. S. J.; Steele, G. A. Deterministic transfer of two-dimensional materials by all-dry viscoelastic stamping. 2D Mater.2014, 1, 011002.
Frisenda, R.; Navarro-Moratalla, E.; Gant, P.; De Lara, D. P.; Jarillo-Herrero, P.; Gorbachev, R. V.; Castellanos-Gomez, A. Recent progress in the assembly of nanodevices and van der Waals hetero-structures by deterministic placement of 2D materials. Chem. Soc. Rev. 2018, 47, 53–68.
Zhao, Q. H.; Wang, T.; Ryu, Y. K.; Frisenda, R. An inexpensive system for the deterministic transfer of 2D materials. J. Phys. Mater., in press, DOI: https://doi.org/10.1088/2515-7639/ab6a72.
Frisenda, R.; Niu, Y.; Gant, P.; Molina-Mendoza, A. J.; Schmidt, R.; Bratschitsch, R.; Liu, J. X.; Fu, L.; Dumcenco, D.; Kis, A. et al. Micro-reflectance and transmittance spectroscopy: A versatile and powerful tool to characterize 2D materials. J. Phys. D Appl. Phys.2017, 5, 074002.
Chernikov, A.; Berkelbach, T. C.; Hill, H. M.; Rigosi, A.; Li, Y. L.; Aslan, O. B.; Reichman, D. R.; Hybertsen, M. S.; Heinz, T. F. Exciton binding energy and nonhydrogenic Rydberg series in monolayer WS2. Phys. Rev. Lett.2014, 113, 076802.
Castellanos-Gomez, A.; Quereda, J.; van der Meulen, H. P.; Agraït, N.; Rubio-Bollinger, G. Spatially resolved optical absorption spectroscopy of single- and few-layer MoS2 by hyperspectral imaging. Nanotechnology2016, 27, 115705.
Niehues, I.; Schmidt, R.; Drüppel, M.; Marauhn, P.; Christiansen, D.; Selig, M.; Berghäuser, G.; Wigger, D.; Schneider, R.; Braasch, L. et al. Strain control of exciton-phonon coupling in atomically thin semiconductors. Nano Lett.2018, 18, 1751–1757.
Niehues, I.; Blob, A.; Stiehm, T.; Schmidt, R.; Jadriško, V.; Radatović, B.; Čapeta, D.; Kralj, M.; de Vasconcellos, S. M.; Bratschitsch, R. Strain transfer across grain boundaries in MoS2 monolayers grown by chemical vapor deposition. 2D Mater.2018, 5, 031003.
Niehues, I.; Blob, A.; Stiehm, T.; de Vasconcellos, S. M.; Bratschitsch, R. Interlayer excitons in bilayer MoS2 under uniaxial tensile strain. Nanoscale2019, 11, 12788–12792.
Christopher, J. W.; Vutukuru, M.; Lloyd, D.; Bunch, J. S.; Goldberg, B. B.; Bishop, D. J.; Swan, A. K. Monolayer MoS2 strained to 1.3% with a microelectromechanical system. J. Microelectromechan. Syst.2019, 28, 254–263.
Li, Z. W.; Lv, Y. W.; Ren, L. W.; Li, J.; Kong, L. G.; Zeng, Y. J.; Tao, Q. Y.; Wu, R. X.; Ma, H. F.; Zhao, B. et al. Efficient strain modulation of 2D materials via polymer encapsulation. Nat. Commun.2020, 11, 11518.
He, X.; Li, H.; Zhu, Z. Y.; Dai, Z. Y.; Yang, Y.; Yang, P.; Zhang, Q.; Li, P.; Schwingenschlogl, U.; Zhang, X. X. Strain engineering in monolayer WS2, MoS2, and the WS2/MoS2 heterostructure. Appl. Phys. Lett.2016, 10, 173105.
Liu, Z.; Amani, M.; Najmaei, S.; Xu, Q.; Zou, X. L.; Zhou, W.; Yu, T.; Qiu, C. Y.; Birdwell, A. G.; Crowne, F. J. et al. Strain and structure heterogeneity in MoS2 atomic layers grown by chemical vapour deposition. Nat. Commun.2014, 5, 5246.
John, A. P.; Thenapparambil, A.; Thalakulam, M. Strain-engineering the Schottky barrier and electrical transport on MoS2. Nanotechnology2020, 31, 275703.
Island, J. O.; Kuc, A.; Diependaal, E. H.; Bratschitsch, R.; van der Zant, H. S. J.; Heine, T.; Castellanos-Gomez, A. Precise and reversible band gap tuning in single-layer MoSe2 by uniaxial strain. Nanoscale2016, 8, 2589–2593.
Mennel, L.; Paur, M.; Mueller, T. Second harmonic generation in strained transition metal dichalcogenide monolayers: MoS2, MoSe2, WS2, and WSe2. APL Photonics2019, 4, 034404.
Zhang, Q. H.; Chang, Z. Y.; Xu, G. Z.; Wang, Z. Y.; Zhang, Y. P.; Xu, Z. Q.; Chen, S. J.; Bao, Q. L.; Liu, J. Z.; Mai, Y. W. et al. Strain relaxation of monolayer WS2 on plastic substrate. Adv. Funct. Mater.2016, 26, 8707–8714.
Schmidt, R.; Niehues, I.; Schneider, R.; Drüppel, M.; Deilmann, T.; Rohlfing, M.; Michaelis de Vasconcellos, S.; Castellanos-Gomez, A.; Bratschitsch, R. Reversible uniaxial strain tuning in atomically thin WSe2. 2D Mater.2016, 3, 021011.
Desai, S. B.; Seol, G.; Kang, J. S.; Fang, H.; Battaglia, C.; Kapadia, R.; Ager, J. W.; Guo, J.; Javey, A. Strain-induced indirect to direct bandgap transition in multilayer WSe2. Nano Lett.2014, 14, 4592–4597.
Aslan, O. B.; Deng, M. D.; Heinz, T. F. Strain tuning of excitons in monolayer WSe2. Phys. Rev. B2018, 9, 115308.
Aslan, O. B.; Deng, M. D.; Brongersma, M. L.; Heinz, T. F. Strained bilayer WSe2 with reduced exciton-phonon coupling. Phys. Rev. B2020, 10, 115305.
Tang, N. Y.; Du, C.; Wang, Q. Q.; Xu, H. R. Strain engineering in bilayer WSe2 over a large strain range. Microelectron. Eng.2020, 22, 111202.
Acknowledgements
This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement no 755655, ERC-StG 2017 project 2D-TOPSENSE). R. F. acknowledges the support from the Spanish Ministry of Economy, Industry and Competitiveness through a Juan de la Cierva-formación fellowship 2017 FJCI-2017-32919. H. L. acknowledges the grant from China Scholarship Council (CSC) under No. 201907040070.
Author information
Authors and Affiliations
Corresponding authors
Electronic Supplementary Material
Rights and permissions
About this article
Cite this article
Carrascoso, F., Li, H., Frisenda, R. et al. Strain engineering in single-, bi- and tri-layer MoS2, MoSe2, WS2 and WSe2. Nano Res. 14, 1698–1703 (2021). https://doi.org/10.1007/s12274-020-2918-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12274-020-2918-2