Abstract
The quest for electronic devices that offer flexibility, wearability, durability and high performance has spotlighted two-dimensional (2D) van der Waals materials as potential next-generation semiconductors. Especially noteworthy is indium selenide, which has demonstrated surprising ultra-high plasticity. To deepen our understanding of this unusual plasticity in 2D van der Waals materials and to explore inorganic plastic semiconductors, we have conducted in-depth experimental and theoretical investigations on metal monochalcogenides (MX) and transition metal dichalcogenides (MX2). We have discovered a general plastic deformation mode in MX, which is facilitated by the synergetic effect of phase transitions, interlayer gliding and micro-cracks. This is in contrast to crystals with strong atomic bonding, such as metals and ceramics, where plasticity is primarily driven by dislocations, twinning or grain boundaries. The enhancement of gliding barriers prevents macroscopic fractures through a pinning effect after changes in stacking order. The discovery of ultra-high plasticity and the phase transition mechanism in 2D MX materials holds significant potential for the design and development of high-performance inorganic plastic semiconductors.
This is a preview of subscription content, access via your institution
Access options
Access Nature and 54 other Nature Portfolio journals
Get Nature+, our best-value online-access subscription
$29.99 / 30 days
cancel any time
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
Data availability
All data in this article are available from the corresponding authors upon reasonable request. Source data are provided with this paper.
References
Petroski, H. M. C. The Pencil: A History of Design and Circumstance (Knopf, 2011).
Kim, Y., Sung, A., Seo, Y., Hwang, S. & Kim, H. Measurement of hardness and friction properties of pencil leads for quantification of pencil hardness test. Adv. Appl. Ceram. 115, 443–448 (2016).
Heissenbüttel, M.-C., Marauhn, P., Deilmann, T., Krüger, P. & Rohlfing, M. Nature of the excited states of layered systems and molecular excimers: exciplex states and their dependence on structure. Phys. Rev. B 99, 035425 (2019).
Ermolaev, G. A. et al. Giant optical anisotropy in transition metal dichalcogenides for next-generation photonics. Nat. Commun. 12, 854 (2021).
Nicolosi, V., Chhowalla, M., Kanatzidis, M. G., Strano, M. S. & Coleman, J. N. Liquid exfoliation of layered materials. Science 340, 1226419 (2013).
Wang, Q. H., Kalantar-Zadeh, K., Kis, A., Coleman, J. N. & Strano, M. S. Electronics and optoelectronics of two-dimensional transition metal dichalcogenides. Nat. Nanotechnol. 7, 699–712 (2012).
Wei, T.-R. et al. Exceptional plasticity in the bulk single-crystalline van der Waals semiconductor InSe. Science 369, 542–545 (2020).
Gao, Z. et al. High-throughput screening of 2D van der Waals crystals with plastic deformability. Nat. Commun. 13, 7491 (2022).
Wang, Y., Szökölová, K., Nasir, M. Z. M., Sofer, Z. & Pumera, M. Electrochemistry of layered semiconducting AIIIBVI chalcogenides: indium monochalcogenides (InS, InSe, InTe). Chem. Cat. Chem. 11, 2634–2642 (2019).
Luxa, J., Wang, Y., Sofer, Z. & Pumera, M. Layered post-transition-metal dichalcogenides (X–M–M–X) and their properties. Chemistry 22, 18810–18816 (2016).
Late, D. J. et al. GaS and GaSe ultrathin layer transistors. Adv. Mater. 24, 3549–3554 (2012).
Feng, W., Zheng, W., Cao, W. & Hu, P. Back gated multilayer InSe transistors with enhanced carrier mobilities via the suppression of carrier scattering from a dielectric interface. Adv. Mater. 26, 6587–6593 (2014).
Wu, L. M. et al. InSe/hBN/graphite heterostructure for high-performance 2D electronics and flexible electronics. Nano Res. 13, 1127–1132 (2020).
Jiang, J., Xu, L., Qiu, C. & Peng, L.-M. Ballistic two-dimensional InSe transistors. Nature 616, 470–475 (2023).
Yoon, Y., Ganapathi, K. & Salahuddin, S. How good can monolayer MoS2 transistors be? Nano Lett. 11, 3768–3773 (2011).
Radisavljevic, B. & Kis, A. Mobility engineering and a metal-insulator transition in monolayer MoS2. Nat. Mater. 12, 815–820 (2013).
Zhong, F. et al. Substitutionally doped MoSe2 for high-performance electronics and optoelectronics. Small 17, 2102855 (2021).
Cho, S. et al. Phase patterning for ohmic homojunction contact in MoTe2. Science 349, 625–628 (2015).
Wu, E. et al. Dynamically controllable polarity modulation of MoTe2 field-effect transistors through ultraviolet light and electrostatic activation. Sci. Adv. 5, eaav3430 (2019).
Fang, H. et al. High-performance single layered WSe2 p-FETs with chemically doped contacts. Nano Lett. 12, 3788–3792 (2012).
Iqbal, M. W. et al. High-mobility and air-stable single-layer WS2 field-effect transistors sandwiched between chemical vapor deposition-grown hexagonal BN films. Sci. Rep. 5, 10699 (2015).
Wang, Y. et al. Electron mobility in monolayer WS2 encapsulated in hexagonal boron-nitride. Appl. Phys. Lett. 118, 102105 (2021).
Fu, D. et al. Tuning the electrical transport of type II Weyl semimetal WTe2 nanodevices by Ga+ ion implantation. Sci. Rep. 7, 12688 (2017).
Yan, Z. et al. Highly stretchable van der Waals thin films for adaptable and breathable electronic membranes. Science 375, 852–859 (2022).
Wang, H. et al. Orientation-dependent large plasticity of single-crystalline gallium selenide. Cell Rep. Phys. Sci. 3, 100816 (2022).
Qiu, D., Chu, Y., Zeng, H., Xu, H. & Dan, G. Stretchable MoS2 electromechanical sensors with ultrahigh sensitivity and large detection range for skin-on monitoring. ACS Appl. Mater. Interfaces 11, 37035–37042 (2019).
Sui, F. et al. Sliding ferroelectricity in van der Waals layered γ-InSe semiconductor. Nat. Commun. 14, 36 (2023).
Rogée, L. et al. Ferroelectricity in untwisted heterobilayers of transition metal dichalcogenides. Science 376, 973–978 (2022).
El-Kady, M. F., Strong, V., Dubin, S. & Kaner, R. B. Laser scribing of high-performance and flexible graphene-based electrochemical capacitors. Science 335, 1326–1330 (2012).
Vazirisereshk, M. R., Martini, A., Strubbe, D. A. & Baykara, M. Z. Solid lubrication with MoS2: a review. Lubricants 7, 57 (2019).
Scharf, T. W. & Prasad, S. V. Solid lubricants: a review. J. Mater. Sci. 48, 511–531 (2013).
Berman, D., Erdemir, A. & Sumant, A. V. Graphene: a new emerging lubricant. Mater. Today 17, 31–42 (2014).
Guo, Y. et al. Additive manufacturing of patterned 2D semiconductor through recyclable masked growth. Proc. Natl Acad. Sci. USA 116, 3437–3442 (2019).
Grubb, P. M., Subbaraman, H., Park, S., Akinwande, D. & Chen, R. T. Inkjet printing of high performance transistors with micron order chemically set gaps. Sci. Rep. 7, 1202 (2017).
Larson, N. M. et al. Rotational multimaterial printing of filaments with subvoxel control. Nature 613, 682–688 (2023).
Berre, C. et al. Failure analysis of the effects of porosity in thermally oxidised nuclear graphite using finite element modelling. J. Nucl. Mater. 381, 1–8 (2008).
Akimov, ІV., Sylovanyuk, V. P., Volchok, ІP. & Ivantyshyn, N. А Influence of the shape of graphite inclusions on the mechanical properties of iron–carbon alloys. Mater. Sci. 48, 620–627 (2013).
Rudenko, A. N., Katsnelson, M. I. & Gornostyrev, Y. N. Dislocation structure and mobility in the layered semiconductor InSe: a first-principles study. 2D Mater. 8, 045028 (2021).
Küpers, M. et al. Controlled crystal growth of indium selenide, In2Se3, and the crystal structures of α-In2Se3. Inorg. Chem. 57, 11775–11781 (2018).
Grzonka, J., Claro, M. S., Molina-Sánchez, A., Sadewasser, S. & Ferreira, P. J. Novel polymorph of GaSe. Adv. Funct. Mater. 31, 2104965 (2021).
Keum, D. H. et al. Bandgap opening in few-layered monoclinic MoTe2. Nat. Phys. 11, 482–486 (2015).
Wang, H., Li, Q., Cui, T., Ma, Y. & Zou, G. Phase-transition mechanism of h-BN → w-BN from first principles. Solid State Commun. 149, 843–846 (2009).
Lin, Y.-C., Dumcenco, D. O., Huang, Y.-S. & Suenaga, K. Atomic mechanism of the semiconducting-to-metallic phase transition in single-layered MoS2. Nat. Nanotechnol. 9, 391–396 (2014).
Hao, Q. et al. Phase identification and strong second harmonic generation in Pure ε-InSe and Its Alloys. Nano Lett. 19, 2634–2640 (2019).
Sun, M. et al. ε-InSe single crystals grown by a horizontal gradient freeze method. Cryst. Eng. Comm. 22, 7864–7869 (2020).
Yu, W. J., Lau, W. M., Chan, S. P., Liu, Z. F. & Zheng, Q. Q. Ab initio study of phase transformations in boron nitride. Phys. Rev. B 67, 014108 (2003).
Sachdev, H., Haubner, R., Nöth, H. & Lux, B. Investigation of the c-BN/h-BN phase transformation at normal pressure. Diam. Relat. Mater. 6, 286–292 (1997).
Dutta, A., Reid, C. & Heinrich, H. Simulation of incoherent scattering in high-angle annular dark-field scanning electron microscopy. Microsc. Microanal. 19, 852–853 (2013).
Ly, T. H. et al. Hyperdislocations in van der Waals layered materials. Nano Lett. 16, 7807–7813 (2016).
Caldwell, J. D. et al. Technique for the dry transfer of epitaxial graphene onto arbitrary substrates. ACS Nano 4, 1108–1114 (2010).
Wong, L.-W. et al. Site-specific electrical contacts with the two-dimensional materials. Nat. Commun. 11, 3982 (2020).
Thompson, A. P. et al. LAMMPS—a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales. Comput. Phys. Commun. 271, 108171 (2022).
Jiang, J.-W. Handbook of Stillinger-Weber Potential Parameters for Two-Dimensional Atomic Crystals (BoD–Books on Demand, 2017).
Rappe, A. K., Casewit, C. J., Colwell, K. S., Goddard, W. A. & Skiff, W. M. UFF, a full periodic table force field for molecular mechanics and molecular dynamics simulations. J. Am. Chem. Soc. 114, 10024–10035 (1992).
Barthel, J. Dr. Probe: a software for high-resolution STEM image simulation. Ultramicroscopy 193, 1–11 (2018).
Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996).
Kresse, G. & Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comput. Mater. Sci. 6, 15–50 (1996).
Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B 50, 17953–17979 (1994).
Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).
Dion, M., Rydberg, H., Schröder, E., Langreth, D. C. & Lundqvist, B. I. Van der Waals density functional for general geometries. Phys. Rev. Lett. 92, 246401 (2004).
Berland, K. & Hyldgaard, P. Exchange functional that tests the robustness of the plasmon description of the van der Waals density functional. Phys. Rev. B 89, 035412 (2014).
Grimme, S. Semiempirical GGA-type density functional constructed with a long-range dispersion correction. J. Comput. Chem. 27, 1787–1799 (2006).
Grimme, S., Ehrlich, S. & Goerigk, L. Effect of the damping function in dispersion corrected density functional theory. J. Comput. Chem. 32, 1456–1465 (2011).
Grimme, S., Antony, J., Ehrlich, S. & Krieg, H. A consistent and accurate ab initio parametrization of density functional dispersion correction (DFT-D) for the 94 elements H-Pu. J. Chem. Phys. 132, 154104 (2010).
Henkelman, G., Uberuaga, B. P. & Jónsson, H. A climbing image nudged elastic band method for finding saddle points and minimum energy paths. J. Chem. Phys. 113, 9901–9904 (2000).
Nelson, R. et al. LOBSTER: local orbital projections, atomic charges, and chemical-bonding analysis from projector-augmented-wave-based density-functional theory. J. Comput. Chem. 41, 1931–1940 (2020).
Hill, R. The elastic behaviour of a crystalline aggregate. Proc. Phys. Soc. Sect. A 65, 349 (1952).
Voigt, W. Lehrbuch der Kristallphysik (Textbook of Crystal Physics) (BG Teubner, 1928).
Reuss, A. Calculation of the flow limits of mixed crystals on the basis of the plasticity of monocrystals. Z. Angew. Math. Mech. 9, 49–58 (1929).
Kube, C. M. Elastic anisotropy of crystals. AIP Adv. 6, 095209 (2016).
Acknowledgements
This work was supported by the National Natural Science Foundation of China (grant nos. 52173230, 52222218 and 52272045), the Research Grants Council of Hong Kong (grant no. AoE/P-701/20), the Hong Kong Research Grant Council General Research Fund (project nos. 15301623, 11312022, 15302522, 11300820 and 15302419), the City University of Hong Kong (project nos. 6000758, 9211308, 9667223 and 9678303), The Hong Kong Polytechnic University (project nos. 1-BE47, ZE0C and ZE2F), the Environment and Conservation Fund (project nos. 69/2021 and 34/2022), the Shenzhen Science, Technology and Innovation Commission (project no. JCYJ20200109110213442), The State Key Laboratory of Marine Pollution (SKLMP) Seed Collaborative Research Fund (grant no. SKLMP/SCRF/0037) and The Research Institute for Advanced Manufacturing of The Hong Kong Polytechnic University.
Author information
Authors and Affiliations
Contributions
J.Z., M.Y. and T.H.L. led and supervised this project. L.W.W. planned the project, wrote the original manuscript and conducted focused ion beam, STEM–HAADF, in situ TEM, molecular dynamics simulations and STEM simulations. H.Y.W., X.Z., C.-S.L., S.P.L., T.H.L. and J.Z. helped data analysis. L.W.W. and W.H. prepared the materials. L.W.W., W.H. and H.Y.W. contributed to the XRD. L.W.W., W.H. and C.S.T. collected Raman data. K.Y. and M.Y. calculated the DFT results. All authors read and approved the paper.
Corresponding authors
Ethics declarations
Competing interests
The authors declare no competing interests.
Peer review
Peer review information
Nature Materials thanks Qi An, Changgu Lee and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Extended data
Extended Data Fig. 1 Raman spectra with corresponding optical images and a table of normalized peak intensity (%).
The orange crosses in the optical images indicate the laser excited position. The postdeformed InSe presents stronger E′(1) and weaker E″(2), representing 3R stacking. Exp. 4 displays a red shift with an extra peak at 199 cm−1 that attributes to some local 2R phase.
Extended Data Fig. 2 Low magnification TEM top views with selected area diffraction patterns (SAED).
a, Pristine InSe. b, Post-deformation InSe. Red circles show the selected area. Yellow circles in (a) highlight the stronger diffraction signal of {\(1\bar{2}10\)} of the pristine 2H-InSe. Scale bars: 2 µm (left), 10 1/nm (right).
Extended Data Fig. 3 Low magnification TEM cross-section views with SAED.
a, Pristine InSe. b, Post-deformation InSe. Red circles show the corresponding selected area. The average interlayer spacing is slightly shorter after deformation. Scale bars: 2 µm (left), 10 1/nm (right).
Extended Data Fig. 4 Top views of typical of low magnification STEM-HAADF after deformations.
a-f, InSe (a,b), MoS2 (c,d), and MoTe2 (e,f). Scale bars: 1 µm (a,c,e) and 200 nm (b,d,f). The orange arrows denote the serious fractures. InSe prefers relaxing strain by forming discrete micro-cracks, while MoS2 and MoTe2 prefer storing strain by dislocations, hence forming serious fracture eventually.
Extended Data Fig. 5 Cross-section view of typical low magnification STEM-HAADF after deformations.
a-i, InSe (a-c), MoS2 (d-f), and MoTe2 (g-i). InSe has significantly fewer large cracks than MoS2 and MoTe2. Scale bars: 2 µm (a-i).
Extended Data Fig. 6 Atomic cross-section views of post-deformation InSe near micro-cracks.
a, Full field of view of the post-deformed InSe supported by Si substrate. b-g, Corresponding atomic resolution STEM-HAADF highlighted by yellow boxes in (a). The grey scale (almost all the viewing area) represents 3R stacking while green, yellow, and blue in (f) highlight 3R’ stacking, phase boundary, and 2H stacking, respectively. Scale bars: 1 µm (a), 5 nm (b-g).
Extended Data Fig. 7 Atomic cross-section views of the post-deformed MoS2 near micro-cracks and defects.
a, The large field of view of the experimental MoTe2. b-e, Corresponding atomic resolution STEM-HAADF highlighted by yellow boxes in a, showing well 2H stacking. All the region demonstrates 2H stacking in MoS2 after deformation. Scale bars: 0.5 µm (a), 5 nm (b-e).
Extended Data Fig. 8 Atomic cross-section views of the post-deformed MoTe2 near micro-cracks and defects.
a, The large field of view of the experimental MoTe2. b-e, Corresponding atomic resolution STEM-HAADF highlighted by yellow boxes in a, showing well 2H stacking. All the region demonstrates 2H stacking in MoTe2 after deformation. Scale bars: 0.5 µm (a), 5 nm (b-e).
Extended Data Fig. 9 Cross-section views of the typical multilayer micro-cracks.
a, InSe. b, GaSe. Scale bars: 5 nm. The stacking near the few layers micro-cracks is mainly 3R stacking. The untransformed 2H stacking is highlighted in white in (b).
Extended Data Fig. 10 Strain analysis by geometric phase analysis of completely transformed 3R region, phase boundary and edge dislocation.
Scale bars: 2 nm. The 3R region after phase transition demonstrates strain relaxation, while the phase boundary and edge dislocation regions show strain concentration.
Supplementary information
Supplementary Information
Supplementary Figs. 1–25, Tables 1–5, Notes 1–3 and references.
Supplementary Video 1
An outermost fracture during the in situ bending experiment.
Source data
Source Data Fig. 2
Source data for Fig. 2.
Source Data Fig. 5
Source data for Fig. 5.
Source Data Extended Data Fig. 1
Source data for Extended Data Fig. 1.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Wong, L.W., Yang, K., Han, W. et al. Deciphering the ultra-high plasticity in metal monochalcogenides. Nat. Mater. 23, 196–204 (2024). https://doi.org/10.1038/s41563-023-01788-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/s41563-023-01788-7