
1.Department of Materials Science and Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong 999077, China
2.Department of Applied Biology and Chemical Technology, The Hong Kong Polytechnic University, Hung Hom, Hong Kong 999077, China
Dangyuan Lei (dangylei@cityu.edu.hk)
Published:2020,
Published Online:23 November 2020,
Received:23 March 2020,
Revised:10 October 2020,
Accepted:14 October 2020
Scan QR Code
Peng, Z. W. et al. Strain engineering of 2D semiconductors and graphene: from strain fields to band-structure tuning and photonic applications. Light: Science & Applications, 9, 1745-1769 (2020).
Peng, Z. W. et al. Strain engineering of 2D semiconductors and graphene: from strain fields to band-structure tuning and photonic applications. Light: Science & Applications, 9, 1745-1769 (2020). DOI: 10.1038/s41377-020-00421-5.
Two-dimensional (2D) transition metal dichalcogenides (TMDCs) and graphene compose a new family of crystalline materials with atomic thicknesses and exotic mechanical
electronic
and optical properties. Due to their inherent exceptional mechanical flexibility and strength
these 2D materials provide an ideal platform for strain engineering
enabling versatile modulation and significant enhancement of their optical properties. For instance
recent theoretical and experimental investigations have demonstrated flexible control over their electronic states via application of external strains
such as uniaxial strain and biaxial strain. Meanwhile
many nondestructive optical measurement methods
typically including absorption
reflectance
photoluminescence
and Raman spectroscopies
can be readily exploited to quantitatively determine strain-engineered optical properties. This review begins with an introduction to the macroscopic theory of crystal elasticity and microscopic effective low-energy Hamiltonians coupled with strain fields
and then summarizes recent advances in strain-induced optical responses of 2D TMDCs and graphene
followed by the strain engineering techniques. It concludes with exciting applications associated with strained 2D materials
discussions on existing open questions
and an outlook on this intriguing emerging field.
Novoselov, K. S. et al. Electric field effect in atomically thin carbon films.Science306, 666-669 (2004)..
Novoselov, K. S. et al. Two-dimensional atomic crystals.Proc. Natl Acad. Sci. USA102, 10451-10453 (2005)..
Butler, S. Z. et al. Progress, challenges, and opportunities in two-dimensional materials beyond graphene.ACS Nano7, 2898-2926 (2013)..
Xu, M. S. et al. Graphene-like two-dimensional materials.Chem. Rev.113, 3766-3798 (2013)..
Novoselov, K. S. et al. Two-dimensional gas of massless Dirac fermions in graphene.Nature438, 197-200 (2005)..
Lui, C. H. et al. Ultrafast photoluminescence from graphene.Phys. Rev. Lett.105, 127404 (2010)..
Malard, L. M. et al. Raman spectroscopy in graphene.Phys. Rep.473, 51-87 (2009)..
Mannix, A. J. et al. Synthesis and chemistry of elemental 2D materials.Nat. Rev. Chem.1, 0014 (2017)..
Radisavljevic, B. et al. Single-layer MoS2transistors.Nat. Nanotechnol.6, 147-150 (2011)..
Wilson, J. A.&Yoffe, A. D. The transition metal dichalcogenides discussion and interpretation of the observed optical, electrical and structural properties.Adv. Phys.18, 193-335 (1969)..
Lu, A. Y. et al. Janus monolayers of transition metal dichalcogenides.Nat. Nanotechnol.12, 744-749 (2017)..
Mak, K. F. et al. Atomically thin MoS2: a new direct-gap semiconductor.Phys. Rev. Lett.105, 136805 (2010)..
Splendiani, A. et al. Emerging photoluminescence in monolayer MoS2.Nano Lett.10, 1271-1275 (2010)..
Roldán, R. et al. Electronic properties of single-layer and multilayer transition metal dichalcogenidesMX2(M = Mo, W andX= S, Se).Ann. Phys.526, 347-357 (2014)..
Mak, K. F. et al. Control of valley polarization in monolayer MoS2by optical helicity.Nat. Nanotechnol.7, 494-498 (2012)..
Zeng, H. L. et al. Valley polarization in MoS2monolayers by optical pumping.Nat. Nanotechnol.7, 490-493 (2012)..
Chen, P. G. et al. Chiral coupling of valley excitons and light through photonic spin-orbit interactions.Adv. Opt. Mater.8, 1901233 (2020)..
Radisavljevic, B., Whitwick, M. B.&Kis, A. Integrated circuits and logic operations based on single-layer MoS2.ACS Nano5, 9934-9938 (2011)..
Yin, Z. Y. et al. Single-layer MoS2phototransistors.ACS Nano6, 74-80 (2012)..
Kang, K. et al. High-mobility three-atom-thick semiconducting films with wafer-scale homogeneity.Nature520, 656-660 (2015)..
Gong, S. H. et al. Nanoscale chiral valley-photon interface through optical spin-orbit coupling.Science359, 443-447 (2018)..
Geim, A. K.&Grigorieva, I. V. Van der Waals heterostructures.Nature499, 419-425 (2013)..
Dean, C. R. et al. Boron nitride substrates for high-quality graphene electronics.Nat. Nanotechnol.5, 722-726 (2010)..
Zhang, C. H. et al. Direct growth of large-area graphene and boron nitride heterostructures by a co-segregation method.Nat. Commun.6, 6519 (2015)..
Britnell, L. et al. Strong light-matter interactions in heterostructures of atomically thin films.Science340, 1311-1314 (2013)..
Li, J. et al. General synthesis of two-dimensional van der Waals heterostructure arrays.Nature579, 368-374 (2020)..
Wang, L. et al. 2D-material-integrated whispering-gallery-mode microcavity.Photonics Res.7, 905-916 (2019)..
Conley, H. J. et al. Bandgap engineering of strained monolayer and bilayer MoS2.Nano Lett.13, 3626-3630 (2013)..
He, K. L. et al. Experimental demonstration of continuous electronic structure tuning via strain in atomically thin MoS2.Nano Lett.13, 2931-2936 (2013)..
Yoon, D., Son, Y. W.&Cheong, H. Strain-dependent splitting of the double-resonance Raman scattering band in graphene.Phys. Rev. Lett.106, 155502 (2011)..
Frank, O. et al. Raman 2D-band splitting in graphene: theory and experiment.ACS Nano5, 2231-2239 (2011)..
Shi, H. L. et al. Quasiparticle band structures and optical properties of strained monolayer MoS2and WS2.Phys.Rev. B87, 155304 (2013)..
Castellanos-Gomez, A. et al. Mechanics of freely-suspended ultrathin layered materials.Ann. Phys.527, 27-44 (2015)..
Bertolazzi, S., Brivio, J.&Kis, A. Stretching and breaking of ultrathin MoS2.ACS Nano5, 9703-9709 (2011)..
Castellanos-Gomez, A. et al. Elastic propertiesof freely suspended MoS2nanosheets.Adv. Mater.24, 772-775 (2012)..
Bao, S. Y. et al. Low-threshold optically pumped lasing in highly strained germanium nanowires.Nat. Commun.8, 1845 (2017)..
Griffith, A. A. V. I. The phenomena of rupture and flow in solids.Philos. Trans. R. Soc. Lond. A221, 163-198 (1921)..
Cooper, R. C. et al. Nonlinear elastic behavior of two-dimensional molybdenum disulfide.Phys. Rev. B87, 035423 (2013)..
Roldán, R. et al. Strain engineering in semiconducting two-dimensional crystals.J. Phys. Condens. Matter27, 313201 (2015)..
Castellanos-Gomez, A., van der Zant, H. S. J.&Steele, G. A. Folded MoS2layers with reduced interlayer coupling.Nano Res.7, 572-578 (2014)..
Castellanos-Gomez, A. et al. Local strain engineering in atomically thin MoS2.Nano Lett.13, 5361-5366 (2013)..
Lee, C. et al. Measurement of the elastic properties and intrinsic strength of monolayer graphene.Science321, 385-388 (2008)..
Scalise, E. et al. Strain-induced semiconductor to metal transition in the two-dimensional honeycomb structure of MoS2.Nano Res.5, 43-48 (2012)..
Feng, J. et al. Strain-engineered artificial atom as a broad-spectrum solar energy funnel.Nat. Photonics6, 866-872 (2012)..
Ghorbani-Asl, M. et al. Strain-dependent modulation of conductivity in single-layer transition-metal dichalcogenides.Phys. Rev. B87, 235434 (2013)..
Guinea, F., Katsnelson, M. I.&Geim, A. K. Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering.Nat. Phys.6, 30-33 (2010)..
Pellegrino, F. M. D., Angilella, G. G. N.&Pucci, R. Strain effect on the optical conductivity of graphene.Phys. Rev. B81, 035411 (2010)..
Wang, Q. H. et al. Electronics and optoelectronics of two-dimensional transition metal dichalcogenides.Nat. Nanotechnol.7, 699-712 (2012)..
Zhu, Y. W. et al. Graphene and graphene oxide: synthesis, properties, and applications.Adv. Mater.22, 3906-3924 (2010)..
Xia, F. N. et al. Two-dimensional material nanophotonics.Nat. Photonics8, 899-907 (2014)..
Xu, X. D. et al. Spin and pseudospins in layered transition metal dichalcogenides.Nat. Phys.10, 343-350 (2014)..
Chuang, S. L.Physics of Photonic Devices(Wile, New York, 2009).
Naumis, G. G. et al. Electronic and optical properties of strained graphene and other strained 2D materials: a review.Rep. Prog. Phys.80, 096501 (2017)..
Amorim, B. et al. Novel effects of strains in graphene and other two dimensional materials.Phys. Rep.617, 1-54 (2016)..
Midtvedt, D., Lewenkopf, C. H.&Croy, A. Strain-displacement relations for strain engineering in single-layer 2d materials.2D Mater.3, 011005 (2016)..
Atalaya, J., Isacsson, A.&Kinaret, J. M. Continuum elastic modeling of graphene resonators.Nano Lett.8, 4196-4200 (2008)..
Pereira, V. M., Castro Neto, A. H.&Peres, N. M. R. Tight-binding approach to uniaxial strain in graphene.Phys. Rev. B80, 045401 (2009)..
Cocco, G., Cadelano, E.&Colombo, L. Gap opening in graphene by shear strain.Phys. Rev. B81, 241412 (2010)..
Fang, S. et al. Electronic structure theory of strained two-dimensional materials with hexagonal symmetry.Phys. Rev. B98, 075106 (2018)..
Mañes, J. L. et al. Generalized effective Hamiltonian for graphene under nonuniform strain.Phys. Rev. B88, 155405 (2013)..
Feldmann, J. et al. Linewidth dependence of radiative exciton lifetimes in quantum wells.Phys. Rev. Lett.59, 2337-2340 (1987)..
Wang, G. et al.Colloquium: Excitons in atomically thin transition metal dichalcogenides.Rev. Mod. Phys.90, 021001 (2018)..
Knox, R. S.Theory of Excitons(Academic, New York, 1963).
Liang, W. Y. Excitons.Phys. Educ.5, 226-228 (1970)..
Combescot, M.&Shiau, S. Y.Excitons and Cooper Pairs: Two Composite Bosons in Many-Body Physics(Oxford University Press, Oxford, 2015).
Zhang, C. D. et al. Direct imaging of band profile in single layer MoS2on graphite: quasiparticle energy gap, metallic edge states, and edge band bending.Nano Lett.14, 2443-2447 (2014)..
Haug, H.&Koch, S. W.Quantum Theory of the Optical and Electronic Properties of Semiconductors5th edn (World Scientific Publishing Company, Singapore, 2009).
Yan, C. Y. et al. 2D Group IVB transition metal dichalcogenides.Adv. Funct. Mater.28, 1803305 (2018)..
Chakraborty, B. et al. Layer-dependent resonant Raman scattering of a few layer MoS2.J. Raman Spectrosc.44, 92-96 (2013)..
Li, H. et al. From bulk to monolayer MoS2: evolution of Raman scattering.Adv. Funct. Mater.22, 1385-1390 (2012)..
Chakraborty, B. et al. Symmetry-dependent phonon renormalization in monolayer MoS2transistor.Phys. Rev. B85, 161403 (2012)..
Lee, C. et al. Anomalous lattice vibrations of single- and few-layer MoS2.ACS Nano4, 2695-2700 (2010)..
Mak, K. F.&Shan, J. Photonics and optoelectronics of 2D semiconductor transition metal dichalcogenides.Nat. Photonics10, 216-226 (2016)..
Schmidt, R. et al. Reversible uniaxial strain tuning in atomically thin WSe2.2D Mater.3, 021011 (2016)..
Zhu, C. R. et al. Strain tuning of optical emission energy and polarization in monolayer and bilayer MoS2.Phys. Rev. B88, 121301 (2013)..
Hui, Y. Y. et al. Exceptional tunability of band energy in a compressively strained trilayer MoS2sheet.ACS Nano7, 7126-7131 (2013)..
Wang, Y. L. et al. Strain-induced direct-indirect bandgap transition and phonon modulation in monolayer WS2.Nano Res.8, 2562-2572 (2015)..
Desai, S. B. et al. Strain-induced indirect to direct bandgap transition in multilayer WSe2.Nano Lett.14, 4592-4597 (2014)..
Plechinger, G. et al. Control of biaxial strain in single-layer molybdenite using local thermal expansion of thesubstrate.2D Mater.2, 015006 (2015)..
Tripathi, L. N. et al. Spontaneous emission enhancement in strain-induced WSe2monolayer-based quantum light sources on metallic surfaces.ACS Photonics5, 1919-1926 (2018)..
Mennel, L. et al. Optical imaging of strain in two-dimensional crystals.Nat. Commun.9, 516 (2018)..
Zhao, M. et al. Atomically phase-matched second-harmonic generation in a 2D crystal.Light Sci. Appl.5, e16131 (2016)..
Jeong, J. W. et al. Strain-induced three-photon effects.Phys. Rev. B62, 13455-13463 (2000)..
Huang, H. H. et al. Recent progress of TMD nanomaterials: phase transitions and applications.Nanoscale12, 1247-1268 (2020)..
Duerloo, K. A. N., Li, Y.&Reed, E. J. Structural phase transitions in two-dimensional Mo- and W-dichalcogenide monolayers.Nat. Commun.5, 4214 (2014)..
Song, S. et al. Room temperature semiconductor-metal transition of MoTe2thin films engineered by strain.Nano Lett.16, 188-193 (2016)..
Gmitra, M. et al. Band-structure topologies of graphene: spin-orbit coupling effects from first principles.Phys. Rev. B80, 235431 (2009)..
Pacheco Sanjuan, A. A. et al. Graphene's morphology and electronic properties from discrete differential geometry.Phys. Rev. B89, 121403 (2014)..
Nair, R. R. et al. Fine structure constant defines visual transparency of graphene.Science320, 1308 (2008)..
Beenakker, C. W. J.Colloquium: Andreev reflection and Klein tunneling in graphene.Rev. Mod. Phys.80, 1337-1354 (2008)..
Li, Y. L. et al. Measurement of the optical dielectric function of monolayer transition-metal dichalcogenides: MoS2, MoSe2, WS2, and WSe2.Phys. Rev. B90, 205422 (2014)..
Zhu, L. X. et al. Angle-selective perfect absorption with two-dimensional materials.Light Sci. Appl.5, e16052 (2016)..
Lin, H. et al. A 90-nm-thick graphene metamaterial for strong and extremely broadband absorption of unpolarized light.Nat. Photonics13, 270-276 (2019)..
Cai, H. et al. Enhanced linear absorption coefficient of in-plane monolayer graphene on a silicon microring resonator.Opt. Express24, 24105-24116 (2016)..
Thomsen, C.&Reich, S. Double resonant Raman scattering in graphite.Phys. Rev. Lett.85, 5214-5217 (2000)..
Graf, D. et al. Spatially resolved Raman spectroscopy of single- and few-layer graphene.Nano Lett.7, 238-242 (2007)..
Ding, F. et al. Stretchable graphene: a close look at fundamental parameters through biaxial straining.Nano Lett.10, 3453-3458 (2010)..
Geim, A. K.&Novoselov, K. S. The rise of graphene.Nature Mater.6, 183-191 (2007)..
Ando, T., Zheng, Y. S.&Suzuura, H. Dynamical conductivity and zero-mode anomaly in honeycomb lattices.J. Phys. Soc. Jpn71, 1318-1324 (2002)..
Gusynin, V. P., Sharapov, S. G.&Carbotte, J. P. Unusual microwave response of Dirac quasiparticles in graphene.Phys. Rev. Lett.96, 256802 (2006)..
Naumov, I. I.&Bratkovsky, A. M. Gap opening in graphene by simple periodic inhomogeneous strain.Phys. Rev. B84, 245444 (2011)..
Levy, N. et al. Strain-induced pseudo-magnetic fields greater than 300 Tesla in graphene nanobubbles.Science329, 544-547 (2010)..
Cazalilla, M. A., Ochoa, H.&Guinea, F. Quantum spin Hall effect in two-dimensional crystals of transition-metal dichalcogenides.Phys. Rev. Lett.113, 077201 (2014)..
Jie, W. J. et al. Effects of controllable biaxial strain on the Raman spectra of monolayer graphene prepared by chemical vapor deposition.Appl. Phys. Lett.102, 223112 (2013)..
Zabel, J. et al. Raman spectroscopy of graphene and bilayer under biaxial strain: bubbles and balloons.Nano Lett.12, 617-621 (2012)..
Fandan, R. et al. Dynamic local strain in graphene generated by surface acoustic waves.Nano Lett.20, 402-409 (2020)..
Dong, X. C. et al. Symmetry breaking of graphene monolayers by molecular decoration.Phys. Rev. Lett.102, 135501 (2009)..
Qiu, C. Y. et al. Raman spectroscopy of morphology-controlled deposition of Au on graphene.Carbon59, 487-494 (2013)..
Mohiuddin, T. M. G. et al. Uniaxial strain in graphene by Raman spectroscopy: G peak splitting, Grüneisen parameters, and sample orientation.Phys. Rev. B79, 205433 (2009)..
Huang, M. Y. et al. Probing strain-induced electronic structure change in graphene by Raman spectroscopy.Nano Lett.10, 4074-4079 (2010)..
Frank, O. et al. Compression behavior of single-layer graphenes.ACS Nano4, 3131-3138 (2010)..
Ni, Z. H. et al. Uniaxial strain on graphene: Raman spectroscopy study and band-gap opening.ACS Nano2, 2301-2305 (2008)..
Zhao, Y. D. et al. Effects of surface roughness of Ag thin films on surface-enhanced Raman spectroscopy of graphene: spatial nonlocality and physisorption strain.Nanoscale6, 1311-1317 (2014)..
Ni, G. X. et al. Tuning optical conductivity of large-scale CVD graphene by strain engineering.Adv. Mater.26, 1081-1086 (2014)..
Island, J. O. et al. Precise and reversible band gap tuning in single-layer MoSe2by uniaxial strain.Nanoscale8, 2589-2593 (2016)..
Timoshenko, S. P.&Gere, J. M.Theory of Elastic Stability(McGraw-Hill, New York, 1961).
Shen, T. T., Penumatcha, A. V.&Appenzeller, J. Strain engineering for transition metal dichalcogenides based field effect transistors.ACS Nano10, 4712-4718 (2016)..
Wang, L. et al. On-chip rolling design for controllable strain engineering and enhanced photon-phonon interaction in graphene.Small15, e1805477 (2019)..
Pérez Garza, H. H. et al. Controlled, reversible, and nondestructive generation of uniaxial extreme strains (>10%) in graphene.Nano Lett.14, 4107-4113 (2014)..
Frank, O. et al. Phonon and structural changes in deformed Bernal stacked bilayer graphene.Nano Lett.12, 687-693 (2012)..
Ahn, G. H. et al. Strain-engineered growth of two-dimensional materials.Nat. Commun.8, 608 (2017)..
Dhakal, K. P. et al. Local strain induced band gap modulation and photoluminescence enhancement of multilayer transition metal dichalcogenides.Chem. Mater.29, 5124-5133 (2017)..
Yang, S. X. et al. Tuning the optical, magnetic, and electrical properties of ReSe2by nanoscale strain engineering.Nano Lett.15, 1660-1666 (2015)..
Kang, P. et al. Mechanically reconfigurable architectured graphene for tunable plasmonic resonances.Light Sci. Appl.7, 17 (2018)..
Vella, D. et al. The macroscopic delamination of thin films from elastic substrates.Proc. Natl Acad. Sci. USA106, 10901-10906 (2009)..
Palacios-Berraquero, C. et al. Large-scale quantum-emitter arrays in atomically thin semiconductors.Nat. Commun.8, 15093 (2017)..
Branny, A. et al. Deterministic strain-induced arrays of quantum emitters in a two-dimensional semiconductor.Nat. Commun.8, 15053 (2017)..
Cai, T. et al. Radiative enhancement of single quantum emitters in WSe2monolayers using site-controlled metallic nanopillars.ACS Photonics5, 3466-3471 (2018)..
Tomori, H. et al. Introducing nonuniform strain to graphene using dielectric nanopillars.Appl. Phys. Express4, 075102 (2011)..
Kern, J. et al. Nanoscale positioning of single-photon emitters in atomically thin WSe2.Adv. Mater.28, 7101-7105 (2016)..
Kumar, S., Kaczmarczyk, A.&Gerardot, B. D. Strain-induced spatial and spectral isolation of quantum emitters in mono- and bilayer WSe2.Nano Lett.15, 7567-7573 (2015)..
Kim, J. H. et al. Mechanical properties of two-dimensional materials and their applications.J. Phys. D Appl. Phys.52, 083001 (2018)..
Wang, D. et al. Flexible and optical fiber sensors composited by graphene and PDMS for motion detection.Polymers11, 1433 (2019)..
Li, H. et al. Optoelectronic crystal of artificial atoms in strain-textured molybdenum disulphide.Nat. Commun.6, 7381 (2015)..
O'Brien, J. L., Furusawa, A.&Vučković, J. Photonic quantum technologies.Nat. Photonics3, 687-695 (2009)..
Chakraborty, C. et al. Voltage-controlled quantum light from an atomically thin semiconductor.Nat. Nanotechnol.10, 507-511 (2015)..
He, Y. M. et al. Single quantum emitters in monolayer semiconductors.Nat. Nanotechnol.10, 497-502 (2015)..
Srivastava, A. et al. Optically active quantum dots in monolayer WSe2.Nat. Nanotechnol.10, 491-496 (2015)..
Luo, Y. et al. Deterministic coupling of site-controlled quantum emitters in monolayer WSe2to plasmonic nanocavities.Nat. Nanotechnol.13, 1137-1142 (2018)..
Park, K. D. et al. Hybrid tip-enhanced nanospectroscopy and nanoimaging of monolayer WSe2with local strain control.Nano Lett.16, 2621-2627 (2016)..
Bunch, J. S. et al. Electromechanical resonators from graphene sheets.Science315, 490-493 (2007)..
Martinez, J. C., Jalil, M. B. A.&Tan, S. G. Giant Faraday and Kerr rotation with strained graphene.Opt. Lett.37, 3237-3239 (2012)..
Li, H. et al. Activating and optimizing MoS2basal planes for hydrogen evolution through the formation of strained sulphur vacancies.Nat. Mater.15, 48-53 (2016)..
Lu, P. et al. Strain-dependent electronic and magnetic properties of MoS2monolayer, bilayer, nanoribbons and nanotubes.Phys. Chem. Chem. Phys.14, 13035-13040 (2012)..
Quereda, J. et al. Strain engineering of Schottky barriers in single- and few-layer MoS2vertical devices.2D Mater.4, 021006 (2017)..
An, C. H. et al. The opposite anisotropic piezoresistive effect of ReS2.ACS Nano13, 3310-3319 (2019)..
Zhao, X. X. et al. Strain modulation by van der Waals coupling in bilayer transition metal dichalcogenide.ACS Nano12, 1940-1948 (2018)..
Chen, J. H. et al. Tunable and enhanced light emission in hybrid WS2-optical-fiber-nanowire structures.Light Sci. Appl.8, 8 (2019)..
He, Y. M. et al. Strain-induced electronic structure changes in stacked van der Waals heterostructures.Nano Letters16, 3314-3320 (2016)..
X.ie, S. E. et al. Coherent, atomically thin transition-metal dichalcogenide superlattices with engineered strain.Science359, 1131-1136 (2018)..
Motlag, M. et al. Asymmetric 3D elastic-plastic strain-modulated electron energy structure in monolayer graphene by laser shocking.Adv. Mater.31, 1900597 (2019)..
0
Views
0
Downloads
0
CSCD
Publicity Resources
Related Articles
Related Author
Related Institution
京公网安备11010802024621