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.

  • Article
  • Published:

Large local lattice expansion in graphene adlayers grown on copper

A Retraction to this article was published on 27 September 2018

This article has been updated

Abstract

Variations of the lattice parameter can significantly change the properties of a material, and, in particular, its electronic behaviour. In the case of graphene, however, variations of the lattice constant with respect to graphite have been limited to less than 2.5% due to its well-established high in-plane stiffness. Here, through systematic electronic and lattice structure studies, we report regions where the lattice constant of graphene monolayers grown on copper by chemical vapour deposition increases up to ~7.5% of its relaxed value. Density functional theory calculations confirm that this expanded phase is energetically metastable and driven by the enhanced interaction between the substrate and the graphene adlayer. We also prove that this phase possesses distinctive chemical and electronic properties. The inherent phase complexity of graphene grown on copper foils revealed in this study may inspire the investigation of possible metastable phases in other seemingly simple heterostructure systems.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: Phase diagram of graphene overlayer lattice strain with respect to the surface lattice constant of substrates.
Fig. 2: Capability of nanoARPES to distinguish electronic inhomogeneity.
Fig. 3: Comparison of electronic and lattice structures.
Fig. 4: Moiré patterns in Phase 2 from ARPES and microLEED.
Fig. 5: Theoretical results obtained from DFT.

Similar content being viewed by others

Change history

  • 27 September 2018

    The authors unanimously wish to retract this Article due to their concerns about the interpretation of the low-energy electron microscopy (LEEM) and diffraction (LEED) patterns reported in the manuscript. In this study, the authors used spatial and angle-resolved photoemission spectroscopy (ARPES) to characterize graphene monolayers grown on copper foils, and observed regions of graphene adlayers with enhanced graphene/Cu interaction, higher Dirac cone doping level, moiré mini Dirac cones and large lattice expansion. All these properties have been clearly verified and reproduced by photoemission spectroscopy as well as explained by density functional theory. LEEM and LEED characterization were also carried out to confirm the existence of a moiré superlattice and lattice expansion, and the results were included in the main manuscript and Supplementary Information. On further analysis of the LEEM/LEED data, it seems that while the existence of a moiré superlattice can be corroborated, the conclusion of graphene lattice expansion (7%) based on spatially resolved ARPES determinations cannot be confirmed by the LEEM/LEED measurements. The authors realized that these measurements were collected from statistically non-representative areas of the sample. Moreover, the fact that the raw microLEED images bear an asymmetry factor of as much as 5% due to the instrumental aberration makes it impossible to estimate any compression or expansion of the same order. Consequently, their conclusion on the graphene lattice expansion can only be supported by the photoemission data. In view that more complete and reliable structural determinations should be conducted, all authors wish to retract this Article.

References

  1. Kim, K. S. et al. Large-scale pattern growth of graphene films for stretchable transparent electrodes. Nature 457, 706–710 (2009).

    Article  CAS  Google Scholar 

  2. Li, X. et al. Large-area synthesis of high-quality and uniform graphene films on copper foils. Science 324, 1312–1314 (2009).

    Article  CAS  Google Scholar 

  3. Yu, Q. et al. Control and characterization of individual grains and grain boundaries in graphene grown by chemical vapour deposition. Nat. Mater. 10, 443–449 (2011).

    Article  CAS  Google Scholar 

  4. Wintterlin, J. & Bocquet, M. L. Graphene on metal surfaces. Surf. Sci. 603, 1841–1852 (2009).

    CAS  Google Scholar 

  5. Batzill, M. The surface science of graphene: metal interfaces, CVD synthesis, nanoribbons, chemical modifications, and defects. Surf. Sci. Rep. 67, 83–115 (2012).

    Article  CAS  Google Scholar 

  6. Voloshina, E. & Dedkov, Y. Graphene on metallic surfaces: problems and perspectives. Phys. Chem. Chem. Phys. 14, 13502–13514 (2012).

    Article  CAS  Google Scholar 

  7. Avila, J. & Asensio, M. C. First NanoARPES user facility available at SOLEIL: an innovative and powerful tool for studying advanced materials. Synchrotron Radiat. News 27, 24–30 (2014).

    Article  Google Scholar 

  8. Chen, C., Avila, J. & Asensio, M. Chemical and electronic structure imaging of graphene on Cu: a NanoARPES study. J. Phys. Condens. Matter 29, 183001 (2017).

    Article  Google Scholar 

  9. Chen, C., Avila, J. & Asensio, M. Electronic structure of polycrystalline CVD-graphene revealed by NanoARPES. J. Phys. Conf. Ser. 849, 012019 (2017).

    Article  Google Scholar 

  10. Chen, C., Avila, J. & Asensio, M. Structural and electronic inhomogeneity of graphene revealed by Nano-ARPES. J. Phys. Conf. Ser. 864, 012019 (2017).

    Article  Google Scholar 

  11. Vita, H. et al. Understanding the origin of band gap formation in graphene on metals: graphene on Cu/Ir(111). Sci. Rep. 4, 5704 (2014).

    Article  CAS  Google Scholar 

  12. Rotenberg, E. & Bostwick, A. Superlattice effects in graphene on SiC(0001) and Ir(111) probed by ARPES. Synth. Met. 210, 85–94 (2015).

    Article  CAS  Google Scholar 

  13. Mucha-Kruczyński, M., Wallbank, J. R. & Fal’ko, V. I. Moiré miniband features in the angle-resolved photoemission spectra of graphene/hBN heterostructures. Phys. Rev. B 93, 085409 (2016).

    Article  Google Scholar 

  14. Woods, C. R. et al. Commensurate–incommensurate transition in graphene on hexagonal boron nitride. Nat. Phys. 10, 451–456 (2014).

    Article  CAS  Google Scholar 

  15. Gui, G., Li, J. & Zhong, J. Band structure engineering of graphene by strain: first-principles calculations. Phys. Rev. B 78, 075435 (2008).

    Article  Google Scholar 

  16. Chen, C. et al. Electronic structure of graphene/hexagonal boron nitride heterostructure revealed by NanoARPES. J. Phys. Conf. Ser. 864, 012005 (2017).

    Article  Google Scholar 

  17. Koitz, R., Seitsonen, A. P., Iannuzzi, M. & Hutter, J. Structural and electronic properties of a large-scale moiré pattern of hexagonal boron nitride on Cu(111) studied with density functional theory. Nanoscale 5, 5589–5595 (2013).

    Article  CAS  Google Scholar 

  18. Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S. & Geim, A. K. The electronic properties of graphene. Rev. Mod. Phys. 81, 109–162 (2009).

    CAS  Google Scholar 

  19. Chen, C. et al. Emergence of interfacial polarons from electron-phonon coupling in graphene/h-BN van der Waals heterostructures. Nano. Lett. 18, 1082–1087 (2018).

    Article  CAS  Google Scholar 

  20. Dahal, A. & Batzill, M. Graphene-nickel interfaces: a review. Nanoscale 6, 2548–2562 (2014).

    Article  CAS  Google Scholar 

  21. Prezzi, D. et al. Edge structures for nanoscale graphene islands on Co(0001) surfaces. ACS Nano 8, 5765–5773 (2014).

    Article  CAS  Google Scholar 

  22. Yu, V., Whiteway, E., Maassen, J. & Hilke, M. Raman spectroscopy of the internal strain of a graphene layer grown on copper tuned by chemical vapor deposition. Phys. Rev. B 84, 205407 (2011).

    Article  Google Scholar 

  23. Müller, F. et al. How does graphene grow? Easy access to well-ordered graphene films. Small 5, 2291–2296 (2009).

    Article  Google Scholar 

  24. Martoccia, D. et al. Graphene on Ru(0001): a 25 x 25 supercell. Phys. Rev. Lett. 101, 126102 (2008).

    Article  CAS  Google Scholar 

  25. N’Diaye, A. T., Coraux, J., Plasa, T. N., Busse, C. & Michely, T. Structure of epitaxial graphene on Ir(111). New J. Phys. 10, 043033 (2008).

    Article  Google Scholar 

  26. Murata, Y. et al. Orientation-dependent work function of graphene on Pd(111). Appl. Phys. Lett. 97, 143114 (2010).

    Article  Google Scholar 

  27. Tonnoir, C. et al. Induced superconductivity in graphene grown on rhenium. Phys. Rev. Lett. 111, 246805 (2013).

    Article  CAS  Google Scholar 

  28. Sutter, P., Sadowski, J. T. & Sutter, E. Graphene on Pt(111): growth and substrate interaction. Phys. Rev. B 80, 245411 (2009).

    Article  Google Scholar 

  29. Nie, S. et al. Scanning tunneling microscopy study of graphene on Au(111): growth mechanisms and substrate interactions. Phys. Rev. B 85, 205406 (2012).

    Article  Google Scholar 

  30. Kiraly, B. et al. Solid-source growth and atomic-scale characterization of graphene on Ag(111). Nat. Commun. 4, 2804 (2013).

    Article  Google Scholar 

  31. Nguyen, V. L. et al. Seamless stitching of graphene domains on polished copper (111) foil. Adv. Mater. 27, 1376–1382 (2015).

    Article  CAS  Google Scholar 

  32. VandeVondele, J. et al. QUICKSTEP: fast and accurate density functional calculations using a mixed Gaussian and plane waves approach. Comput. Phys. Commun. 167, 103–128 (2005).

    Article  CAS  Google Scholar 

  33. Hutter, J., Iannuzzi, M., Schiffmann, F. & VandeVondele, J. CP2K: atomistic simulations of condensed matter systems. Wiley Interdiscip. Rev. Comput. Mol. Sci. 4, 15–25 (2014).

    Article  CAS  Google Scholar 

  34. VandeVondele, J. & Hutter, J. Gaussian basis sets for accurate calculations on molecular systems in gas and condensed phases. J. Chem. Phys. 127, 114105 (2007).

    Article  Google Scholar 

  35. Goedecker, S., Teter, M. & Hutter, J. Separable dual-space Gaussian pseudopotentials. Phys. Rev. B 54, 1703–1710 (1996).

    Article  CAS  Google Scholar 

  36. Zhang, Y. & Yang, W. Comment on “generalized gradient approximation made simple”. Phys. Rev. Lett. 80, 890 (1998).

    Article  CAS  Google Scholar 

  37. 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).

    Article  Google Scholar 

Download references

Acknowledgements

The Synchrotron SOLEIL is supported by the Centre National de la Recherche Scientifique (CNRS) and the Commissariat à l’Energie Atomique et aux Energies Alternatives (CEA), France. This work is supported by a public grant overseen by the French National Research Agency (ANR) as part of the ‘Investissements d’Avenir” program (Labex NanoSaclay, reference: ANR-10-LABX-0035), as well as the the French Ministère des affaires étrangères et européennes (MAEE), the Centre National de la Recherche Scientifique (CNRS) through the ICT-ASIA programme grant 3226/DGM/ATT/RECH. Y.C is grateful for the HKU Start-up Fund for New Staff and the research computing facilities offered by ITS, HKU. We thank S. Lorcy (beamline ANTARES, SOLEIL), D. Alamarguy (Centralesupelec) for the technical support, A. Ouerghi (CNRS, France) and Q. Wu (EPFL, Lausanne) for helpful discussions. We are also indebted to F. Borondics and C. Sandt (beamline SMIS, SOLEIL) for Raman measurement support, Y. Niu (Cardiff University), and S. Stanescu and R. Belkhou (beamline HERMES, SOLEIL) for LEEM/LEED measurement support and discussion.

Author information

Authors and Affiliations

Authors

Contributions

C.C., J.A. and M.B. performed the nanoARPES experiments. C.C. and J.A. managed the data analysis. C.C. drafted the manuscript with the input from M.B., M.M.-K., Y.C. and M.C.A. The growth and characterization process of the CVD graphene samples was developed by V.L.N., F.Y., Y.H.L. and H.A. J.S. and Y.C. performed DFT calculations with results shown in Fig. 5 and Supplementary Fig. 8. M.M.-K. contributed to the theoretical analysis presented in Supplementary Section 6 and its corresponding discussions in the main text. C.C. and M.C.A. discussed and decided the main strategies of the project. M.C.A. directed this research project. All authors discussed and revised the manuscript.

Corresponding authors

Correspondence to Mohamed Boutchich, Yue Chen or Maria C. Asensio.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

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

Supplementary information

Supplementary information

Ten sections, ten figures, ten references.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, C., Avila, J., Arezki, H. et al. Large local lattice expansion in graphene adlayers grown on copper. Nature Mater 17, 450–455 (2018). https://doi.org/10.1038/s41563-018-0053-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s41563-018-0053-1

This article is cited by

Search

Quick links

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