Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

Advertisement

Nature Communications
  • View all journals
  • Search
  • My Account Login
  • Content Explore content
  • About the journal
  • Publish with us
  • Sign up for alerts
  • RSS feed
  1. nature
  2. nature communications
  3. articles
  4. article
Surface-energy-compensated fabrication of single-crystal alloy films with atomic-scale flatness
Download PDF
Download PDF
  • Article
  • Open access
  • Published: 07 January 2026

Surface-energy-compensated fabrication of single-crystal alloy films with atomic-scale flatness

  • Jiaxin Shao1,2,3 na1,
  • Sheng Li  ORCID: orcid.org/0009-0002-4819-67541,2,3 na1,
  • Zhuofeng Shi  ORCID: orcid.org/0009-0004-0652-70034 na1,
  • Yue Sun3 na1,
  • Mengyuan Liu5,
  • Xiumei Ma6,
  • Guangcun Gao3,
  • Shiwei Wang  ORCID: orcid.org/0009-0002-3635-81382,3,
  • Yunsong Ge2,3,
  • Bo Jin1,2,3,
  • Dapeng Zhang3,7,
  • Weichuan Chen3,8,
  • Junhao Liao1,
  • Ali Cai3,
  • Bo Yang3,4,
  • Hao Li3,9,
  • Jincan Zhang3,8,
  • Xiucai Sun3,
  • Mengxi Liu  ORCID: orcid.org/0000-0001-7009-526910,11,
  • Li Lin  ORCID: orcid.org/0000-0002-3626-06433,4,
  • Kaicheng Jia3 &
  • …
  • Zhongfan Liu  ORCID: orcid.org/0000-0001-5554-19021,2,3,12 

Nature Communications , Article number:  (2026) Cite this article

  • 3353 Accesses

  • 2 Altmetric

  • Metrics details

We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Metals and alloys
  • Nanoscale materials

Abstract

Single-crystal alloy thin films (SATFs), featuring highly ordered atomic lattices and superior composition-dependent properties, hold great potential for applications including crystal epitaxy, surface catalysis, and energy conversion. However, their scalable synthesis and practical applications have been hindered by the difficulty of achieving wafer-scale single crystallinity, atomic-scale surface flatness, as well as flexible and uniform control of alloy composition. Here, we developed a surface-energy-compensated technique for synthesizing a series of wafer-scale binary and ternary SATFs with sub-nanometer roughness (minimum roughness lower than 0.2 nm) and uniform, controllable elemental composition with a wide range (5 ~ 50 at%). Furthermore, using CuPtNi(111) ternary SATFs as epitaxial substrates, we achieve wafer-scale synthesis of wrinkle-free graphene single crystals exhibiting fine electronic quality, including a uniform sheet resistance of 552 Ω sq−1 with 4.5% deviation, an ultrahigh carrier mobility up to over half a million cm2 V−1 s−1 at 1.7 K, and well-developed quantum plateaus.

Similar content being viewed by others

Wafer-scale single-crystal monolayer graphene grown on sapphire substrate

Article 20 January 2022

A crystal graph convolutional neural network framework for predicting stacking fault energy in concentrated alloys

Article Open access 08 January 2026

Single-crystal two-dimensional material epitaxy on tailored non-single-crystal substrates

Article Open access 01 April 2022

Data availability

Relevant data supporting the key findings of this study are available within the article and the Supplementary Information file. All raw data generated during the current study are available from the corresponding authors upon request.

References

  1. Wu, M. et al. Seeded growth of large single-crystal copper foils with high-index facets. Nature 581, 406–410 (2020).

    Google Scholar 

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

    Google Scholar 

  3. Karaman, C. O., Bykov, A. Y., Kiani, F., Tagliabue, G. & Zayats, A. V. Ultrafast hot-carrier dynamics in ultrathin monocrystalline gold. Nat. Commun. 15, 703 (2024).

    Google Scholar 

  4. Chen, H. et al. Oxidization-temperature-triggered rapid preparation of large-area single-crystal Cu(111) foil. Adv. Mater. 35, 2209755 (2023).

    Google Scholar 

  5. Cui, Z., Wong, A. J.-W., Janik, M. J. & Co, A. C. Cation effects on CO2 reduction catalyzed by single-crystal and polycrystalline gold under well-defined mass transport conditions. Sci. Adv. 11, eadr6465 (2025).

    Google Scholar 

  6. Pérez-Gallent, E., Marcandalli, G., Figueiredo, M. C., Calle-Vallejo, F. & Koper, M. T. M. Structure- and potential-dependent cation effects on CO reduction at copper single-crystal electrodes. J. Am. Chem. Soc. 139, 16412–16419 (2017).

    Google Scholar 

  7. Yuan, G. et al. Proton-assisted growth of ultra-flat graphene films. Nature 577, 204–208 (2020).

    Google Scholar 

  8. Nguyen, V. L. et al. Layer-controlled single-crystalline graphene film with stacking order via Cu-Si alloy formation. Nat. Nanotechnol. 15, 861–867 (2020).

    Google Scholar 

  9. Jiang, J., Ding, W., Li, W. & Wei, Z. Freestanding single-atom-layer Pd-based catalysts: oriented splitting of energy bands for unique stability and activity. Chem 6, 431–447 (2020).

    Google Scholar 

  10. Yao, J. & Yang, G. 2D layered material alloys: synthesis and application in electronic and optoelectronic devices. Adv. Sci. 9, 2103036 (2022).

    Google Scholar 

  11. Wu, T. et al. Fast growth of inch-sized single-crystalline graphene from a controlled single nucleus on Cu-Ni alloys. Nat. Mater. 15, 43–47 (2016).

    Google Scholar 

  12. Wang, Y. et al. Ultraflat single-crystal hexagonal boron nitride for wafer-scale integration of a 2D-compatible high-κ metal gate. Nat. Mater. 23, 1495–1501 (2024).

    Google Scholar 

  13. Wang, M. et al. Single-crystal, large-area, fold-free monolayer graphene. Nature 596, 519–524 (2021).

    Google Scholar 

  14. Zhang, X. et al. Epitaxial growth of 6 in. single-crystalline graphene on a Cu/Ni (111) film at 750 °C via chemical vapor deposition. Small 15, 1805395 (2019).

    Google Scholar 

  15. Huang, M. et al. Large-area single-crystal AB-bilayer and ABA-trilayer graphene grown on a Cu/Ni(111) foil. Nat. Nanotechnol. 15, 289–295 (2020).

    Google Scholar 

  16. Sun, L. et al. Toward epitaxial growth of misorientation-free graphene on Cu(111) foils. ACS Nano 16, 285–294 (2022).

    Google Scholar 

  17. Yao, W. et al. Bottom-up-etching-mediated synthesis of large-scale pure monolayer graphene on cyclic-polishing-annealed Cu(111). Adv. Mater. 34, 2108608 (2022).

    Google Scholar 

  18. Deng, B. et al. Wrinkle-free single-crystal graphene wafer grown on strain-engineered substrates. ACS Nano 11, 12337–12345 (2017).

    Google Scholar 

  19. Kim, S. J. et al. Flat-surface-assisted and self-regulated oxidation resistance of Cu(111). Nature 603, 434–438 (2022).

    Google Scholar 

  20. Camacho, J. M. & Oliva, A. I. Surface and grain boundary contributions in the electrical resistivity of metallic nanofilms. Thin Solid Films 515, 1881–1885 (2006).

    Google Scholar 

  21. Kim, K. et al. Extremely flat metal films implemented by surface roughness transfer for flexible electronics. RSC Adv. 8, 10883–10888 (2018).

    Google Scholar 

  22. Tian, B. et al. Ultraflat Cu(111) foils by surface acoustic wave-assisted annealing. Nat. Commun. 15, 9488 (2024).

    Google Scholar 

  23. Zheng, L. et al. Uniform thin ice on ultraflat graphene for high-resolution cryo-EM. Nat. Methods 20, 123–130 (2023).

    Google Scholar 

  24. Luo, D. et al. Folding and fracture of single-crystal graphene grown on a Cu(111) foil. Adv. Mater. 34, 2110509 (2022).

    Google Scholar 

  25. Zhao, Y. et al. Large-area transfer of two-dimensional materials free of cracks, contamination and wrinkles via controllable conformal contact. Nat. Commun. 13, 4409 (2022).

    Google Scholar 

  26. Ha, T. et al. Coherent consolidation of trillions of nucleations for mono-atom step-level flat surfaces. Nat. Commun. 14, 685 (2023).

    Google Scholar 

  27. Kim, S. J. et al. Color of copper/copper oxide. Adv. Mater. 33, 2007345 (2021).

    Google Scholar 

  28. Tang, J. et al. Ultrafast growth of wafer-scale fold-free bilayer graphene. Nano Res. 16, 10684–10689 (2023).

    Google Scholar 

  29. Miller, D. L., Keller, M. W., Shaw, J. M., Chiaramonti, A. N. & Keller, R. R. Epitaxial (111) films of Cu, Ni, and CuxNiy on α-Al2O3(0001) for graphene growth by chemical vapor deposition. J. Appl. Phys. 112 (2012).

  30. Burton, O. J. et al. Integrated wafer scale growth of single crystal metal films and high-quality graphene. ACS Nano 14, 13593–13601 (2020).

    Google Scholar 

  31. Oh, S., Scheu, C., Wagner, T., Tchernychova, E. & Ruhle, M. Epitaxy and bonding of Cu films on oxygen-terminated α-Al2O3(0001). Surf. Acta Mater. 54, 2685–2696 (2006).

    Google Scholar 

  32. Han, G. H. et al. Influence of copper morphology in forming nucleation seeds for graphene growth. Nano Lett. 11, 4144–4148 (2011).

    Google Scholar 

  33. Luo, Z. et al. Effect of substrate roughness and feedstock concentration on growth of wafer-scale graphene at atmospheric pressure. Chem. Mater. 23, 1441–1447 (2011).

    Google Scholar 

  34. Zhu, Y. et al. Controlled growth of single-crystal graphene wafers on twin-boundary-free Cu(111) substrates. Adv. Mater. 36, 2308802 (2024).

    Google Scholar 

  35. Chen, T.-A. et al. Wafer-scale single-crystal hexagonal boron nitride monolayers on Cu(111). Nature 579, 219–223 (2020).

    Google Scholar 

  36. Deng, B. et al. Scalable and ultrafast epitaxial growth of single-crystal graphene wafers for electrically tunable liquid-crystal microlens arrays. Sci. Bull. 64, 659–668 (2019).

    Google Scholar 

  37. Amram, D., Klinger, L. & Rabkin, E. Anisotropic hole growth during solid-state dewetting of single-crystal Au-Fe thin films. Acta Mater. 60, 3047–3056 (2012).

    Google Scholar 

  38. Dierner, M. et al. Influence of Au alloying on solid state dewetting kinetics and texture evolution of Ag and Ni thin films. Surf. Interf. 46, 1–8 (2024).

    Google Scholar 

  39. Herz, A. et al. Solid-state dewetting of Au-Ni bi-layer films mediated through individual layer thickness and stacking sequence. Appl. Surf. Sci. 444, 505–510 (2018).

    Google Scholar 

  40. Wen, Y.-N. & Zhang, J.-M. Surface energy calculation of the fcc metals by using the MAEAM. Solid State Commun. 144, 163–167 (2007).

    Google Scholar 

  41. Liu, H., Valanoor, N., Bogle, K. & Cheng, X. An empirical method for surface energy anisotropy determination in high symmetry crystals. ACS Omega 10, 45278–45289 (2025).

    Google Scholar 

  42. Singh-Miller, N. & Marzari, N. Surface energies, work functions, and surface relaxations of low-index metallic surfaces from first principles. Phys. Rev. B. 80, 235407 (2009).

    Google Scholar 

  43. Gioria, E. et al. CuNi nanoalloys with tunable composition and oxygen defects for the enhancement of the oxygen evolution reaction. Angew. Chem. Int. Ed. 62, e202217888 (2023).

    Google Scholar 

  44. Luo, D. et al. Adlayer-free large-area single crystal graphene grown on a Cu(111) foil. Adv. Mater. 31, 1903615 (2019).

    Google Scholar 

  45. Miller, D. L. et al. Giant secondary grain growth in Cu films on sapphire. AIP Adv. 3, 082105 (2013).

    Google Scholar 

  46. Lee, I.-J. et al. Epitaxial growth and characterization of Cu thin films deposited on Al2O3(0001) substrates by magnetron sputtering. Mater. Lett. 299, 130119 (2021).

    Google Scholar 

  47. Hÿtch, M. J., Putaux, J.-L. & Pénisson, J.-M. Measurement of the displacement field of dislocations to 0.03 Å by electron microscopy. Nature 423, 270–273 (2003).

    Google Scholar 

  48. Wang, X., Yuan, Q., Li, J. & Ding, F. The transition metal surface dependent methane decomposition in graphene chemical vapor deposition growth. Nanoscale 9, 11584–11589 (2017).

    Google Scholar 

  49. Zhao, C. & Ding, F. Temperature-dependent graphene wrinkle formation: A theoretical study. Sci. China Mater. 67, 2210–2216 (2024).

    Google Scholar 

  50. Yi, D. et al. What drives metal-surface step bunching in graphene chemical vapor deposition? Phys. Rev. Lett. 120, 246101–246105 (2018).

    Google Scholar 

  51. Yu, H. et al. Eight in. wafer-scale epitaxial monolayer MoS2. Adv. Mater. 36, 2402855 (2024).

    Google Scholar 

  52. Taniguchi, T. et al. Revisiting the two-dimensional structure and reduction process of graphene oxide with in-plane X-ray diffraction. Carbon 202, 26–35 (2023).

    Google Scholar 

  53. Li, X. et al. Single-crystal two-dimensional material epitaxy on tailored non-single-crystal substrates. Nat. Commun. 13, 1773 (2022).

    Google Scholar 

  54. Amontree, J. et al. Reproducible graphene synthesis by oxygen-free chemical vapour deposition. Nature 630, 636–642 (2024).

    Google Scholar 

  55. Ferrari, A. C. & Basko, D. M. Raman spectroscopy as a versatile tool for studying the properties of graphene. Nat. Nanotechnol. 8, 235–246 (2013).

    Google Scholar 

  56. Giambra, M. A. et al. Wafer-scale integration of graphene-based photonic devices. ACS Nano 15, 3171–3187 (2021).

    Google Scholar 

  57. Canto, B. et al. Multi-project wafer runs for electronic graphene devices in the European 2D-Experimental Pilot Line project. Nat. Commun. 16, 1417 (2025).

    Google Scholar 

  58. Lee, S. et al. Contact resistivity in edge-contacted graphene field effect transistors. Adv. Electron. Mater. 8, 2101169 (2022).

    Google Scholar 

  59. Banszerus, L. et al. Ultrahigh-mobility graphene devices from chemical vapor deposition on reusable copper. Sci. Adv. 1, e1500222 (2015).

    Google Scholar 

  60. Moon, J.-Y. et al. Layer-engineered large-area exfoliation of graphene. Sci. Adv. 6, eabc6601 (2020).

    Google Scholar 

  61. Dean, C. R. et al. Boron nitride substrates for high-quality graphene electronics. Nat. Nanotechnol. 5, 722–726 (2010).

    Google Scholar 

  62. Wang, L. et al. One-dimensional electrical contact to a two-dimensional material. Science 342, 614–617 (2013).

    Google Scholar 

  63. Ki, D.-K. & Morpurgo, A. F. High-quality multiterminal suspended graphene devices. Nano Lett. 13, 5165–5170 (2013).

    Google Scholar 

  64. Novoselov, K. S. et al. Room-temperature quantum Hall effect in graphene. Science 315, 1379–1379 (2007).

    Google Scholar 

  65. Feldman, B. E., Martin, J. & Yacoby, A. Broken-symmetry states and divergent resistance in suspended bilayer graphene. Nat. Phys. 5, 889–893 (2009).

    Google Scholar 

  66. Gao, X. et al. Integrated wafer-scale ultra-flat graphene by gradient surface energy modulation. Nat. Commun. 13, 5410 (2022).

    Google Scholar 

  67. Zhang, J. et al. Clean transfer of large graphene single crystals for high-intactness suspended membranes and liquid cells. Adv. Mater. 29, 1700639 (2017).

    Google Scholar 

  68. Pavesi, M., Parisini, A., Calvi, P., Bosio, A. & Fornari, R. Effects of the interface properties on the performance of UV-C photoresistors: gallium oxide as case study. Sensors 25, 345 (2025).

    Google Scholar 

  69. Sun, X. et al. Correlated states in doubly-aligned hBN/graphene/hBN heterostructures. Nat. Commun. 12, 7196 (2021).

    Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. T2188101, 52202033, and 52372038), the National Key Research and Development Program of China (No. 2022YFA1204900), Beijing Natural Science Foundation (No. 2252064), the Beijing National Laboratory for Molecular Sciences (No. BNLMS-CXTD−202001), and Jiangsu Materials Science Association (No. JSTJ−2024-047). We acknowledge the Electron Microscopy Laboratory of Peking University, China, for the use of JEM-ARM200F NEOARM transmission electron microscopy. We thank the Center for Physicochemical Analysis and Measurement, Institute of Chemistry, Chinese Academy of Sciences, for assistance with XRD characterization. We thank the engineer Chong Guo, Analysis Center, Department of Chemistry, Tsinghua University, for her help with the TOF-SIMS test.

Author information

Author notes
  1. These authors contributed equally: Jiaxin Shao, Sheng Li, Zhuofeng Shi, Yue Sun.

Authors and Affiliations

  1. Academy for Advanced Interdisciplinary Studies, Peking University, Beijing, China

    Jiaxin Shao, Sheng Li, Bo Jin, Junhao Liao & Zhongfan Liu

  2. Center for Nanochemistry, Beijing National Laboratory for Molecular Science, College of Chemistry and Molecular Engineering, Peking University, Beijing, China

    Jiaxin Shao, Sheng Li, Shiwei Wang, Yunsong Ge, Bo Jin & Zhongfan Liu

  3. Beijing Graphene Institute, Beijing, China

    Jiaxin Shao, Sheng Li, Yue Sun, Guangcun Gao, Shiwei Wang, Yunsong Ge, Bo Jin, Dapeng Zhang, Weichuan Chen, Ali Cai, Bo Yang, Hao Li, Jincan Zhang, Xiucai Sun, Li Lin, Kaicheng Jia & Zhongfan Liu

  4. School of Materials Science and Engineering, Peking University, Beijing, China

    Zhuofeng Shi, Bo Yang & Li Lin

  5. School of Physics and Information Technology, Shaanxi Normal University, Xi’an, China

    Mengyuan Liu

  6. Electron Microscopy Laboratory, School of Physics, Peking University, Beijing, China

    Xiumei Ma

  7. Academy for Advanced Interdisciplinary Research, North University of China, Taiyuan, China

    Dapeng Zhang

  8. College of Energy, Soochow University, Suzhou, China

    Weichuan Chen & Jincan Zhang

  9. School of Instrument and Electronics, North University of China, Taiyuan, China

    Hao Li

  10. CAS Key Laboratory of Standardization and Measurement for Nanotechnology, National Center for Nanoscience and Technology, Beijing, China

    Mengxi Liu

  11. University of Chinese Academy of Sciences, Beijing, China

    Mengxi Liu

  12. Technology Innovation Center of Graphene Metrology and Standardization for State Market Regulation, Beijing Graphene Institute, Beijing, 100095, P. R. China

    Zhongfan Liu

Authors
  1. Jiaxin Shao
    View author publications

    Search author on:PubMed Google Scholar

  2. Sheng Li
    View author publications

    Search author on:PubMed Google Scholar

  3. Zhuofeng Shi
    View author publications

    Search author on:PubMed Google Scholar

  4. Yue Sun
    View author publications

    Search author on:PubMed Google Scholar

  5. Mengyuan Liu
    View author publications

    Search author on:PubMed Google Scholar

  6. Xiumei Ma
    View author publications

    Search author on:PubMed Google Scholar

  7. Guangcun Gao
    View author publications

    Search author on:PubMed Google Scholar

  8. Shiwei Wang
    View author publications

    Search author on:PubMed Google Scholar

  9. Yunsong Ge
    View author publications

    Search author on:PubMed Google Scholar

  10. Bo Jin
    View author publications

    Search author on:PubMed Google Scholar

  11. Dapeng Zhang
    View author publications

    Search author on:PubMed Google Scholar

  12. Weichuan Chen
    View author publications

    Search author on:PubMed Google Scholar

  13. Junhao Liao
    View author publications

    Search author on:PubMed Google Scholar

  14. Ali Cai
    View author publications

    Search author on:PubMed Google Scholar

  15. Bo Yang
    View author publications

    Search author on:PubMed Google Scholar

  16. Hao Li
    View author publications

    Search author on:PubMed Google Scholar

  17. Jincan Zhang
    View author publications

    Search author on:PubMed Google Scholar

  18. Xiucai Sun
    View author publications

    Search author on:PubMed Google Scholar

  19. Mengxi Liu
    View author publications

    Search author on:PubMed Google Scholar

  20. Li Lin
    View author publications

    Search author on:PubMed Google Scholar

  21. Kaicheng Jia
    View author publications

    Search author on:PubMed Google Scholar

  22. Zhongfan Liu
    View author publications

    Search author on:PubMed Google Scholar

Contributions

J.S., S.L., Z.S., and Y.S. contributed equally to this work. Z.L. and K.J. conceived the experiment. Z.L. and K.J. supervised the project. J.S., S.L., Y.S., and G.G. conducted the fabrication of SATFs and CVD growth of graphene. J.S., S.L., Y.S., G.G., S.W., Y.G., D.Z., W.C., and B.Y. took and analyzed the OM, EBSD, AFM, XRD, and SAED data. M.Y.L. and M.X.L. conducted the STM characterization. X.M. conducted the STEM and EDS characterization. W.C. and J.Z. conducted the Raman measurements. S.W. conducted the in-plane XRD characterization. J.S. and Y.S. conducted the transfer of graphene. Z.S., J.L., and L.L. performed device fabrication and electrical measurements. J.S., G.G., and B.J. conducted sheet resistance measurements. A.C. designed the automatic OM system. H.L. and X.S. conducted the DFT calculations. The manuscript was written by Z.L. and K.J. All authors discussed the results and wrote the manuscript.

Corresponding authors

Correspondence to Kaicheng Jia or Zhongfan Liu.

Ethics declarations

Competing interests

The authors declare no competing interests.

Peer review

Peer review information

Nature Communications thanks Libo Gao, Bo Tian, and Meihui Wang for their contribution to the peer review of this work. A peer review file is available.

Additional information

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

Supplementary Information

Description of Additional Supplementary Files

Supplementary Video 1

Supplementary Video 2

Supplementary Video 3

Supplementary Video 4

Supplementary Video 5

Supplementary Video 6

Supplementary Video 7

Transparent Peer Review file

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shao, J., Li, S., Shi, Z. et al. Surface-energy-compensated fabrication of single-crystal alloy films with atomic-scale flatness. Nat Commun (2026). https://doi.org/10.1038/s41467-025-68196-0

Download citation

  • Received: 31 July 2025

  • Accepted: 22 December 2025

  • Published: 07 January 2026

  • DOI: https://doi.org/10.1038/s41467-025-68196-0

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Download PDF

Advertisement

Explore content

  • Research articles
  • Reviews & Analysis
  • News & Comment
  • Videos
  • Collections
  • Subjects
  • Follow us on Facebook
  • Follow us on Twitter
  • Sign up for alerts
  • RSS feed

About the journal

  • Aims & Scope
  • Editors
  • Journal Information
  • Open Access Fees and Funding
  • Calls for Papers
  • Editorial Values Statement
  • Journal Metrics
  • Editors' Highlights
  • Contact
  • Editorial policies
  • Top Articles

Publish with us

  • For authors
  • For Reviewers
  • Language editing services
  • Open access funding
  • Submit manuscript

Search

Advanced search

Quick links

  • Explore articles by subject
  • Find a job
  • Guide to authors
  • Editorial policies

Nature Communications (Nat Commun)

ISSN 2041-1723 (online)

nature.com sitemap

About Nature Portfolio

  • About us
  • Press releases
  • Press office
  • Contact us

Discover content

  • Journals A-Z
  • Articles by subject
  • protocols.io
  • Nature Index

Publishing policies

  • Nature portfolio policies
  • Open access

Author & Researcher services

  • Reprints & permissions
  • Research data
  • Language editing
  • Scientific editing
  • Nature Masterclasses
  • Research Solutions

Libraries & institutions

  • Librarian service & tools
  • Librarian portal
  • Open research
  • Recommend to library

Advertising & partnerships

  • Advertising
  • Partnerships & Services
  • Media kits
  • Branded content

Professional development

  • Nature Awards
  • Nature Careers
  • Nature Conferences

Regional websites

  • Nature Africa
  • Nature China
  • Nature India
  • Nature Japan
  • Nature Middle East
  • Privacy Policy
  • Use of cookies
  • Legal notice
  • Accessibility statement
  • Terms & Conditions
  • Your US state privacy rights
Springer Nature

© 2026 Springer Nature Limited

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing