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Hypotaxy of wafer-scale single-crystal transition metal dichalcogenides

Abstract

Two-dimensional (2D) semiconductors, particularly transition metal dichalcogenides (TMDs), are promising for advanced electronics beyond silicon1,2,3. Traditionally, TMDs are epitaxially grown on crystalline substrates by chemical vapour deposition. However, this approach requires post-growth transfer to target substrates, which makes controlling thickness and scalability difficult. Here we introduce a method called hypotaxy (‘hypo’ meaning downward and ‘taxy’ meaning arrangement), which enables wafer-scale single-crystal TMD growth directly on various substrates, including amorphous and lattice-mismatched substrates, while preserving crystalline alignment with an overlying 2D template. By sulfurizing or selenizing a pre-deposited metal film under graphene, aligned TMD nuclei form, coalescing into a single-crystal film as graphene is removed. This method achieves precise MoS2 thickness control from monolayer to hundreds of layers on diverse substrates, producing 4-inch single-crystal MoS2 with high thermal conductivity (about 120 W m−1 K−1) and mobility (around 87 cm2 V−1 s−1). Furthermore, nanopores created in graphene using oxygen plasma treatment allow MoS2 growth at a lower temperature of 400 °C, compatible with back-end-of-line processes. This hypotaxy approach extends to other TMDs, such as MoSe2, WS2 and WSe2, offering a solution to substrate limitations in conventional epitaxy and enabling wafer-scale TMDs for monolithic three-dimensional integration.

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Fig. 1: Growth mechanisms of epitaxy and hypotaxy.
Fig. 2: Step-by-step process of hypotaxial growth.
Fig. 3: Layer controllability in hypotaxial growth of MoS2.
Fig. 4: Hypotaxial growth of 4-inch single-crystal MoS2.
Fig. 5: Thermal and electrical properties of hypotaxially grown single-crystal MoS2.

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References

  1. Fiori, G. et al. Electronics based on two-dimensional materials. Nat. Nanotechnol. 9, 768–779 (2014).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  2. Chhowalla, M., Jena, D. & Zhang, H. Two-dimensional semiconductors for transistors. Nat. Rev. Mater. 1, 16052 (2016).

    Article  ADS  CAS  Google Scholar 

  3. Akinwande, D. et al. Graphene and two-dimensional materials for silicon technology. Nature 573, 507–518 (2019).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  4. Kang, K. et al. High-mobility three-atom-thick semiconducting films with wafer-scale homogeneity. Nature 520, 656–660 (2015).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  5. Manzeli, S., Ovchinnikov, D., Pasquier, D., Yazyev, O. V. & Kis, A. 2D transition metal dichalcogenides. Nat. Rev. Mater. 2, 17033 (2017).

    Article  ADS  CAS  Google Scholar 

  6. Hoang, A. T. et al. Low-temperature growth of MoS2 on polymer and thin glass substrates for flexible electronics. Nat. Nanotechnol. 18, 1439–1447 (2023).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  7. Bhimanapati, G. R. et al. Recent advances in two-dimensional materials beyond graphene. ACS Nano 9, 11509–11539 (2015).

    Article  CAS  PubMed  Google Scholar 

  8. Zhou, J. et al. A library of atomically thin metal chalcogenides. Nature 556, 355–359 (2018).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  9. Liu, L. et al. Uniform nucleation and epitaxy of bilayer molybdenum disulfide on sapphire. Nature 605, 69–75 (2022).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  10. Kim, K. S. et al. Non-epitaxial single-crystal 2D material growth by geometric confinement. Nature 614, 88–94 (2023).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  11. Zhou, Z. et al. Stack growth of wafer-scale van der Waals superconductor heterostructures. Nature 621, 499–505 (2023).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  12. Jayachandran, D. et al. Three-dimensional integration of two-dimensional field-effect transistors. Nature 625, 276–281 (2024).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  13. Zhan, Y., Liu, Z., Najmaei, S., Ajayan, P. M. & Lou, J. Large-area vapor-phase growth and characterization of MoS2 atomic layers on a SiO2 substrate. Small 8, 966–971 (2012).

    Article  CAS  PubMed  Google Scholar 

  14. Najmaei, S. et al. Vapour phase growth and grain boundary structure of molybdenum disulphide atomic layers. Nat. Mater. 12, 754–759 (2013).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  15. van der Zande, A. M. et al. Grains and grain boundaries in highly crystalline monolayer molybdenum disulphide. Nat. Mater. 12, 554–561 (2013).

    Article  ADS  PubMed  Google Scholar 

  16. Wang, X., Feng, H., Wu, Y. & Jiao, L. Controlled synthesis of highly crystalline MoS2 flakes by chemical vapor deposition. J. Am. Chem. Soc. 135, 5304–5307 (2013).

    Article  CAS  PubMed  MATH  Google Scholar 

  17. Liu, Z. et al. Strain and structure heterogeneity in MoS2 atomic layers grown by chemical vapour deposition. Nat. Commun. 5, 5246 (2014).

    Article  ADS  PubMed  MATH  Google Scholar 

  18. Wang, Q. et al. Wafer-scale highly oriented monolayer MoS2 with large domain sizes. Nano Lett. 20, 7193–7199 (2020).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  19. Chubarov, M. et al. Wafer-scale epitaxial growth of unidirectional WS2 monolayers on sapphire. ACS Nano 15, 2532–2541 (2021).

    Article  CAS  PubMed  MATH  Google Scholar 

  20. Li, T. et al. Epitaxial growth of wafer-scale molybdenum disulfide semiconductor single crystals on sapphire. Nat. Nanotechnol. 16, 1201–1207 (2021).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  21. Zheng, P. et al. Universal epitaxy of non-centrosymmetric two-dimensional single-crystal metal dichalcogenides. Nat. Commun. 14, 592 (2023).

    Article  ADS  CAS  PubMed  PubMed Central  MATH  Google Scholar 

  22. Zhu, H. et al. Step engineering for nucleation and domain orientation control in WSe2 epitaxy on c-plane sapphire. Nat. Nanotechnol. 18, 1295–1302 (2023).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  23. Fu, J.-H. et al. Oriented lateral growth of two-dimensional materials on c-plane sapphire. Nat. Nanotechnol. 18, 1289–1294 (2023).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  24. Jung, Y. et al. Nucleation and growth of monolayer MoS2 at multisteps of MoO2 crystals by sulfurization. ACS Nano 17, 7865–7871 (2023).

    Article  CAS  PubMed  MATH  Google Scholar 

  25. Lee, C. et al. Anomalous lattice vibrations of single- and few-layer MoS2. ACS Nano 4, 2695–2700 (2010).

    Article  CAS  PubMed  MATH  Google Scholar 

  26. Zandiatashbar, A. et al. Effect of defects on the intrinsic strength and stiffness of graphene. Nat. Commun. 5, 3186 (2014).

    Article  ADS  PubMed  MATH  Google Scholar 

  27. Lee, G., Yang, G., Cho, A., Han, J. W. & Kim, J. Defect-engineered graphene chemical sensors with ultrahigh sensitivity. Phys. Chem. Chem. Phys. 18, 14198–14204 (2016).

    Article  CAS  PubMed  Google Scholar 

  28. Karvonen, L. et al. Rapid visualization of grain boundaries in monolayer MoS2 by multiphoton microscopy. Nat. Commun. 8, 15714 (2017).

    Article  ADS  CAS  PubMed  PubMed Central  MATH  Google Scholar 

  29. Li, L. et al. Epitaxy of wafer-scale single-crystal MoS2 monolayer via buffer layer control. Nat. Commun. 15, 1825 (2024).

    Article  ADS  PubMed  PubMed Central  MATH  Google Scholar 

  30. Alexeev, E. M. et al. Imaging of interlayer coupling in van der Waals heterostructures using a bright-field optical microscope. Nano Lett. 17, 5342–5349 (2017).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  31. Ly, T. H. et al. Observing grain boundaries in CVD-grown monolayer transition metal dichalcogenides. ACS Nano 8, 11401–11408 (2014).

    Article  CAS  PubMed  Google Scholar 

  32. Wang, J. et al. Visualizing grain boundaries in monolayer MoSe2 using mild H2O vapor etching. Nano Res. 11, 4082–4089 (2018).

    Article  CAS  MATH  Google Scholar 

  33. Zhang, Y. et al. Controlled growth of high-quality monolayer WS2 layers on sapphire and imaging Its grain boundary. ACS Nano 7, 8963–8971 (2013).

    Article  CAS  PubMed  MATH  Google Scholar 

  34. Zhang, Y. et al. Invisible growth of microstructural defects in graphene chemical vapor deposition on copper foil. Carbon 96, 237–242 (2016).

    Article  CAS  MATH  Google Scholar 

  35. Li, J. et al. Facile and rigorous route to distinguish the boundary structure of monolayer MoS2 domains by oxygen etching. Appl. Surf. Sci. 510, 145412 (2020).

    Article  CAS  Google Scholar 

  36. Li, J. et al. Single-crystal MoS2 monolayer wafer grown on Au (111) film substrates. Small 17, 2100743 (2021).

    Article  CAS  Google Scholar 

  37. Cahill, D. G. Analysis of heat flow in layered structures for time-domain thermoreflectance. Rev. Sci. Instrum. 75, 5119–5122 (2004).

    Article  ADS  CAS  MATH  Google Scholar 

  38. Sood, A. et al. Quasi-ballistic thermal transport across MoS2 thin films. Nano Lett. 19, 2434–2442 (2019).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  39. Yu, Y., Minhaj, T., Huang, L., Yu, Y. & Cao, L. In-plane and interfacial thermal conduction of two-dimensional transition-metal dichalcogenides. Phys. Rev. Appl. 13, 034059 (2020).

    Article  ADS  CAS  Google Scholar 

  40. Yalon, E. et al. Temperature-dependent thermal boundary conductance of monolayer MoS2 by Raman thermometry. ACS Appl. Mater. Interfaces 9, 43013–43020 (2017).

    Article  CAS  PubMed  Google Scholar 

  41. Feser, J. P., Liu, J. & Cahill, D. G. Pump-probe measurements of the thermal conductivity tensor for materials lacking in-plane symmetry. Rev. Sci. Instrum. 85, 104903 (2014).

    Article  ADS  PubMed  Google Scholar 

  42. Feser, J. P. & Cahill, D. G. Probing anisotropic heat transport using time-domain thermoreflectance with offset laser spots. Rev. Sci. Instrum. 83, 104901 (2012).

    Article  ADS  PubMed  Google Scholar 

  43. Sledzinska, M. et al. Thermal conductivity of MoS2 polycrystalline nanomembranes. 2D Mater. 3, 035016 (2016).

    Article  MATH  Google Scholar 

  44. Gu, X. & Yang, R. Phonon transport in single-layer transition metal dichalcogenides: a first-principles study. Appl. Phys. Lett. 105, 131903 (2014).

    Article  ADS  Google Scholar 

  45. Jiang, P., Qian, X., Gu, X. & Yang, R. Probing anisotropic thermal conductivity of transition metal dichalcogenides MX2 (M = Mo, W and X = S, Se) using time-domain thermoreflectance. Adv. Mater. 29, 1701068 (2017).

    Article  Google Scholar 

  46. Liu, J., Choi, G.-M. & Cahill, D. G. Measurement of the anisotropic thermal conductivity of molybdenum disulfide by the time-resolved magneto-optic Kerr effect. J. Appl. Phys. 116, 233107 (2014).

    Article  ADS  Google Scholar 

  47. Jiang, P., Qian, X. & Yang, R. Tutorial: time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials. J. Appl. Phys. 124, 161103 (2018).

    Article  ADS  MATH  Google Scholar 

  48. Yang, J., Ziade, E. & Schmidt, A. J. Uncertainty analysis of thermoreflectance measurements. Rev. Sci. Instrum. 87, 014901 (2016).

    Article  ADS  PubMed  MATH  Google Scholar 

  49. Lindroth, D. O. & Erhart, P. Thermal transport in van der Waals solids from first-principles calculations. Phys. Rev. B 94, 115205 (2016).

    Article  ADS  MATH  Google Scholar 

  50. Cui, X. et al. Multi-terminal transport measurements of MoS2 using a van der Waals heterostructure device platform. Nat. Nanotechnol. 10, 534–540 (2015).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  51. Smithe, K. K. H., English, C. D., Suryavanshi, S. V. & Pop, E. High-field transport and velocity saturation in synthetic monolayer MoS2. Nano Lett. 18, 4516–4522 (2018).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  52. Sanne, A. et al. Radio frequency transistors and circuits based on CVD MoS2. Nano Lett. 15, 5039–5045 (2015).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  53. Amani, M., Burke, R. A., Proie, R. M. & Dubey, M. Flexible integrated circuits and multifunctional electronics based on single atomic layers of MoS2 and graphene. Nanotechnology 26, 115202 (2015).

    Article  ADS  PubMed  Google Scholar 

  54. Xiao, J. et al. Record-high saturation current in end-bond contacted monolayer MoS2 transistors. Nano Res. 15, 475–481 (2022).

    Article  ADS  CAS  MATH  Google Scholar 

  55. Jeon, J. et al. Layer-controlled CVD growth of large-area two-dimensional MoS2 films. Nanoscale 7, 1688–1695 (2015).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  56. Smithe, K. K. H., Suryavanshi, S. V., Muñoz Rojo, M., Tedjarati, A. D. & Pop, E. Low variability in synthetic monolayer MoS2 devices. ACS Nano 11, 8456–8463 (2017).

    Article  CAS  PubMed  Google Scholar 

  57. Park, W. et al. Photoelectron spectroscopic imaging and device applications of large-area patternable single-Layer MoS2 synthesized by chemical vapor deposition. ACS Nano 8, 4961–4968 (2014).

    Article  CAS  PubMed  MATH  Google Scholar 

  58. Shen, P.-C. et al. Ultralow contact resistance between semimetal and monolayer semiconductors. Nature 593, 211–217 (2021).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  59. Sebastian, A., Pendurthi, R., Choudhury, T. H., Redwing, J. M. & Das, S. Benchmarking monolayer MoS2 and WS2 field-effect transistors. Nat. Commun. 12, 693 (2021).

    Article  ADS  CAS  PubMed  PubMed Central  Google Scholar 

  60. Zhu, J. et al. Low-thermal-budget synthesis of monolayer molybdenum disulfide for silicon back-end-of-line integration on a 200 mm platform. Nat. Nanotechnol. 18, 456–463 (2023).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  61. Novoselov, K. S. et al. Electric field effect in atomically thin carbon films. Science 306, 666–669 (2004).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  62. Son, J. et al. Atomically precise graphene etch stops for three dimensional integrated systems from two dimensional material heterostructures. Nat. Commun. 9, 3988 (2018).

    Article  ADS  PubMed  PubMed Central  MATH  Google Scholar 

  63. Lee, G.-H. et al. High-strength chemical-vapor–deposited graphene and grain boundaries. Science 340, 1073–1076 (2013).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  64. Jin, S. et al. Colossal grain growth yields single-crystal metal foils by contact-free annealing. Science 362, 1021–1025 (2018).

    Article  ADS  CAS  PubMed  MATH  Google Scholar 

  65. Kim, H. et al. In-plane anisotropy of graphene by strong interlayer interactions with van der Waals epitaxially grown MoO3. Sci. Adv. 9, eadg6696 (2023).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  66. 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).

    Article  ADS  CAS  MATH  Google Scholar 

  67. Sholl, D. & Steckel, J. A. Density Functional Theory: A Practical Introduction (Wiley, 2011).

  68. Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).

    Article  ADS  CAS  PubMed  Google Scholar 

  69. Blöchl, P. E. Projector augmented-wave method. Phys. Rev. B 50, 17953–17979 (1994).

    Article  ADS  Google Scholar 

  70. Kresse, G. & Joubert, D. From ultrasoft pseudopotentials to the projector augmented-wave method. Phys. Rev. B 59, 1758–1775 (1999).

    Article  ADS  CAS  MATH  Google Scholar 

  71. Monkhorst, H. J. & Pack, J. D. Special points for Brillouin-zone integrations. Phys. Rev. B 13, 5188–5192 (1976).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  72. Javaid, M., Drumm, D. W., Russo, S. P. & Greentree, A. D. A study of size-dependent properties of MoS2 monolayer nanoflakes using density-functional theory. Sci Rep. 7, 9775 (2017).

    Article  ADS  CAS  PubMed  PubMed Central  Google Scholar 

  73. Kim, J.-Y., Choi, S. M., Seo, W.-S. & Cho, W.-S. Thermal and electronic properties of exfoliated metal chalcogenides. Bull. Korean Chem. Soc. 31, 3225–3227 (2010).

    Article  CAS  MATH  Google Scholar 

  74. Shin, Y. et al. Graphene via contact architecture for vertical integration of vdW heterostructure devices. Small 18, 2200882 (2022).

    Article  CAS  Google Scholar 

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Acknowledgements

This work was supported by the National Research Foundation of Korea Grants funded by the Korean Government (2021R1A2C3014316 and RS-2024-00401234). G.-H.L. acknowledges the support from the Institute of Engineering Research, the Institute of Applied Physics and the Inter-University Semiconductor Research Center at the Seoul National University. We thank Y. J. Hong for naming this technology ‘hypotaxy’.

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Contributions

D.M. and G.-H.L. designed and conceived the project. W.L. and Hyejin Jang conducted thermal conductivity measurements. C.L. and J.W.H. performed DFT calculations. Jinwoo Kim performed TEM imaging. Jiwoo Kim, C.K., S.B., J.S., Y.J. and H.-G.O. prepared graphene and TMD samples. H.-Y.C., W.S.C., J.J., H.R. and J. Kwon fabricated devices and performed electrical measurements. Hajung Jang and H.C. performed the SHG measurements. K.W. and T.T. supplied boron nitride crystals. D.M. and G.-H.L. jointly analysed the data and wrote the paper together through discussion with H.K. and J.-H.B.

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Correspondence to Gwan-Hyoung Lee.

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Extended data figures and tables

Extended Data Fig. 1 Comparison of the MoS2 films grown by the conventional sulfurization and the hypotaxy through graphene.

a, Schematic of the MoS2 growth processes for conventional sulfurization and hypotaxy through graphene. The Mo film deposited on a SiO2 substrate by e-beam evaporation was partially covered by exfoliated 1L-Gr. For sulfurization, 20 sccm of H2S and 130 sccm of argon gas were supplied at 1000 °C for 2 h. The uncovered Mo film turns into randomly oriented MoS2 layers, while the graphene-covered Mo film transforms into a uniformly layered MoS2 structure through the formation of MoS2 nuclei that are crystallographically aligned with the top graphene layer. b,c, Raman spectra of conventionally sulfurized MoS2 (b) and hypotaxially grown MoS2 (c) before and after the sulfurization process. The cross-sectional STEM images in the insets shows the morphologies of two samples.

Extended Data Fig. 2 Hypotaxial growth of MoSe2, WS2, and WSe2.

a-c, HR-TEM images and corresponding SAED patterns (insets) of MoSe2 (a), WS2 (b), and WSe2 (c), indicating the applicability of the hypotaxial growth for a variety of TMDs.

Extended Data Fig. 3 Energetic stability of crystallographically aligned MoS2 nucleus with a graphene nanopore.

a, Optimized structure of hexagonal structure of MoS2 monolayer below graphene with nanopores. Black, sky blue, and yellow spheres are C, Mo, and S atoms, respectively. b, Relative energies as a function of the rotation of the MoS2 around the center of the MoS2 nuclei. The relative energies were calculated with reference to the energy of the 0 degree of MoS2. c, Standard deviation of bond lengths of six C-S bonds at the edge of graphene nanopore as a function of the rotation of the MoS2.

Extended Data Fig. 4 Effect of temperature and time on the hypotaxial growth of MoS2.

a, TEM images of graphene/Mo samples sulfurized at 600, 700, 800, and 900 °C for 30 and 120 min. Because of no formation of nanopores at 600 °C, the Mo film covered by graphene was not sulfurized even after 120 min. Meanwhile, the MoS2 was hypotaxially grown at 700–900 °C. However, graphene was partially removed at these temperatures. The TEM images were taken from the specific regions with no remaining graphene. b, Raman spectra of hypotaxially grown MoS2 at different sulfurization temperatures. As the sulfurization temperature increases, the \({\text{E}}_{2\text{g}}^{1}\) and A1g peaks of MoS2 becomes more pronounced, indicating higher crystallinity.

Extended Data Fig. 5 Low-temperature hypotaxial growth of MoS2.

a, TEM image of oxygen plasma-treated graphene for generation of nanopores. The nanopores are marked by red arrows. b, Cross-sectional STEM image of hypotaxially grown MoS2 at 400 °C through oxygen plasma-treated graphene. c, HR-TEM image and corresponding SAED pattern (inset) of the same sample.

Extended Data Fig. 6 Hypotaxial growth of MoS2 on various substrates.

a, Schematic process for hypotaxial growth of MoS2 at 400 °C on graphite, HfO2, and Au. b-d, HR-TEM images and corresponding FFT patterns (insets) of hypotaxially grown MoS2 on graphite (b), HfO2 (c), and Au (d), respectively. The 10 nm-thick HfO2 and 50 nm-thick Au film were deposited by atomic layer deposition (ALD) method and e-beam evaporation, respectively. Thanks to the unique characteristic of hypotaxy, the MoS2 can be grown regardless of the crystal structures of the substrates.

Extended Data Fig. 7 Asymmetry analyses in diffraction profiles of SAED patterns.

a, BF-TEM image of transferred 1L-MoS2 (hypotaxially grown at 1000 °C) onto a holey TEM grid. b, Representative SAED pattern of region 1. The diffraction intensity profile of spot 1 and 2 was extracted from the yellow dashed region. c, Diffraction intensity profiles obtained from twelve regions indicated in (a). These diffraction intensity profiles show that all regions have stronger intensity at spot 1 compared to spot 2, confirming these areas have the same crystalline orientation.

Extended Data Fig. 8 HR-TEM images of fifty regions with the same crystalline orientation and no twin boundaries.

HR-TEM images (10 nm × 10 nm) obtained from fifty regions of hypotaxially grown 1L-MoS2 at 1000 °C show no twin boundaries and all regions exhibit the same crystalline orientation. Regarding small distance between MoS2 nuclei (~10–20 nm), which correspond to the spacing between nanopores in graphene (Fig. 2f and Extended Data Fig. 6), absence of twin boundaries over this large area (fifty regions of 50 nm × 100 nm) strongly suggests that the hypotaxially grown MoS2 is a single crystal with no inversion domains.

Extended Data Fig. 9 Etching behavior of epitaxially and hypotaxially grown 1L-MoS2.

SEM images of a, epitaxially grown MoS2 on a c-sapphire substrate and b, hypotaxially grown MoS2 at 1000 °C after annealing at 1000 °C under low pressure of <10−3 Torr. The mild etching processes are widely used to visualize grain boundaries and determine crystalline orientation33,34,35,36. The SEM images were taken from different regions to investigate crystalline orientation of large area. The epitaxially grown 1L-MoS2 showed two triangular etched regions with opposite directions (indicated by red and yellow dashed lines) due to presence of grains with 0° and 60° orientations on the c-sapphire substrate as shown in (a). Meanwhile, the hypotaxially grown MoS2 exhibited unidirectional triangular shapes as shown in (b), indicating that the entire area etched by vacuum annealing is unidirectionally oriented.

Extended Data Fig. 10 Device performances of hypotaxial grown 1L-MoS2 with metal electrodes of Al/Cr/Au.

Transfer curves (Ids−Vgs) of back-gated hypotaxially grown 1L-MoS2 device with Al/Cr/Au contacts, showing high Ion/Ioff of > 109 and field-effect mobility of 79 cm2 V−1s−1. The linear output curves (Ids−Vds) in the inset show that the metal contacts are ohmic-like.

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Moon, D., Lee, W., Lim, C. et al. Hypotaxy of wafer-scale single-crystal transition metal dichalcogenides. Nature 638, 957–964 (2025). https://doi.org/10.1038/s41586-024-08492-9

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