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.

  • Letter
  • Published:

Dislocation-mediated melting of a two-dimensional crystal

Abstract

MELTING of three-dimensional solids usually starts at the free surface, which typically melts at a lower temperature than the bulk material1. In two dimensions the starting point of many studies is the Kosterlitz–Thouless theory2,3, in which melting is initiated through dislocation unbinding. Langmuir mono-layers—single layers of amphiphilic molecules formed at the air-water interface—should provide an ideal model for studying melting in two dimensions. Here we show that for monolayer crystals of fatty acids coexisting with their liquid phase, the interior melts before the edges. The melting of crystals under mechanical stress is initiated along the line at which the internal stress vanishes. We suggest that this apparently counterintuitive result arises from defect migration to the region of zero stress, where they accumulate and nucleate melting. These results support the idea that defects play a crucial role in melting of two-dimensional 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

Similar content being viewed by others

References

  1. Frenken, J. W. M. & van Pinxteren, H. M. in The Chemical Physics of Solid Surfaces Vol. 7 (eds King, D. A. & Woodruff, D. P.) Ch. 7 (Elsevier, Amsterdam, 1994).

    Google Scholar 

  2. Kosterlitz, J. M. & Thouless, D. J. J. Phys. C 6, 1181–1203 (1973).

    Article  ADS  CAS  Google Scholar 

  3. Strandburg, K. J. Rev. Mod. Phys. 60, 161–207 (1988).

    Article  ADS  CAS  Google Scholar 

  4. Bercegol, H., Gallet, F., Langevin, D. & Meunier, J. J. Phys. (France) 50, 2277–2289 (1989).

    Article  CAS  Google Scholar 

  5. Bercegol, H. J. Phys. Chem. 96, 3435–3441 (1992).

    Article  CAS  Google Scholar 

  6. Bercegol, H. & Meunier, J. Nature 356, 226–228 (1992).

    Article  ADS  CAS  Google Scholar 

  7. Pershan, P. S. & Als-Nielsen, J. Phys. Rev. Lett. 52, 759–762 (1984).

    Article  ADS  CAS  Google Scholar 

  8. Flament, C. et al. J. Phys. II (France) 4, 1021–1032 (1994).

    Article  CAS  Google Scholar 

  9. Bruinsma, R., Halperin, B. I. & Zippelius, A. Phys. Rev. B 25, 579–582 (1982).

    Article  ADS  CAS  Google Scholar 

  10. Lifschitz, I. M. & Guilida, L. S. Dokl. Acad. Nauk. 87, 377–380 (1952).

    Google Scholar 

  11. Peach, M. & Koehler, J. S. Phys. Rev. 80, 436–439 (1950).

    Article  ADS  Google Scholar 

  12. Pauchard, L. & Meunier, J. Phys. Rev. Lett. 70, 3565–3568 (1993).

    Article  ADS  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pauchard, L., Bonn, D. & Meunier, J. Dislocation-mediated melting of a two-dimensional crystal. Nature 384, 145–147 (1996). https://doi.org/10.1038/384145a0

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1038/384145a0

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

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