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From quantum to continuum mechanics in the delamination of atomically-thin layers from substrates

Author

Listed:
  • Paul Hauseux

    (University of Luxembourg)

  • Thanh-Tung Nguyen

    (University of Luxembourg)

  • Alberto Ambrosetti

    (Università degli Studi di Padova)

  • Katerine Saleme Ruiz

    (University of Luxembourg)

  • Stéphane P. A. Bordas

    (University of Luxembourg
    Cardiff University, School of Engineering)

  • Alexandre Tkatchenko

    (University of Luxembourg)

Abstract

Anomalous proximity effects have been observed in adhesive systems ranging from proteins, bacteria, and gecko feet suspended over semiconductor surfaces to interfaces between graphene and different substrate materials. In the latter case, long-range forces are evidenced by measurements of non-vanishing stress that extends up to micrometer separations between graphene and the substrate. State-of-the-art models to describe adhesive properties are unable to explain these experimental observations, instead underestimating the measured stress distance range by 2–3 orders of magnitude. Here, we develop an analytical and numerical variational approach that combines continuum mechanics and elasticity with quantum many-body treatment of van der Waals dispersion interactions. A full relaxation of the coupled adsorbate/substrate geometry leads us to conclude that wavelike atomic deformation is largely responsible for the observed long-range proximity effect. The correct description of this seemingly general phenomenon for thin deformable membranes requires a direct coupling between quantum and continuum mechanics.

Suggested Citation

  • Paul Hauseux & Thanh-Tung Nguyen & Alberto Ambrosetti & Katerine Saleme Ruiz & Stéphane P. A. Bordas & Alexandre Tkatchenko, 2020. "From quantum to continuum mechanics in the delamination of atomically-thin layers from substrates," Nature Communications, Nature, vol. 11(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:11:y:2020:i:1:d:10.1038_s41467-020-15480-w
    DOI: 10.1038/s41467-020-15480-w
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    Cited by:

    1. Matteo Gori & Philip Kurian & Alexandre Tkatchenko, 2023. "Second quantization of many-body dispersion interactions for chemical and biological systems," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    2. Alberto Ambrosetti & Paolo Umari & Pier Luigi Silvestrelli & Joshua Elliott & Alexandre Tkatchenko, 2022. "Optical van-der-Waals forces in molecules: from electronic Bethe-Salpeter calculations to the many-body dispersion model," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    3. Jun Kyu Park & Yue Zhang & Baoxing Xu & Seok Kim, 2021. "Pattern transfer of large-scale thin membranes with controllable self-delamination interface for integrated functional systems," Nature Communications, Nature, vol. 12(1), pages 1-10, December.

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