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.

  • Commentary
  • Published:

Topological mechanics

Electronic topological insulators have inspired the design of new mechanical systems that could soon find real-life applications.

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

Relevant articles

Open Access articles citing this article.

Access options

Buy this article

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

Figure 1: Overview of the two different families of topological acoustic metamaterials (zero-frequency versus high-frequency).
Figure 2: Measured helical edge spectrum of a mechanical topological insulator.

References

  1. Haldane, F. D. M. Phys. Rev. Lett. 61, 2015–2018 (1988).

    Article  ADS  MathSciNet  Google Scholar 

  2. Hasan, M. Z. & Kane, C. L. Rev. Mod. Phys. 82, 3045–3067 (2010).

    Article  ADS  Google Scholar 

  3. Qi, X. L. & Zhang, S. C. Rev. Mod. Phys. 83, 1057–1110 (2011).

    Article  ADS  Google Scholar 

  4. Levi-Civita, T. Rend. Circ. Mat. Palermo 42, 173–205 (1917).

    Article  Google Scholar 

  5. Berry, M. V. Proc. R. Soc. Lond. A 392, 45–57 (1984).

    Article  ADS  Google Scholar 

  6. Thouless, D. J., Kohmoto, M., Nightingale, M. P. & den Nijs, M. Phys. Rev. Lett. 49, 405–408 (1982).

    Article  ADS  Google Scholar 

  7. Simon, B. Phys. Rev. Lett. 51, 2167–2170 (1983).

    Article  ADS  MathSciNet  Google Scholar 

  8. Kane, C. L. & Mele, E. J. Phys. Rev. Lett. 95, 226801 (2005).

    Article  ADS  Google Scholar 

  9. Hannay, J. H. J. Phys. A 18, 221–230 (1985).

    Article  ADS  MathSciNet  Google Scholar 

  10. Kane, C. L. & Lubensky, T. C. Nature Phys. 10, 39–45 (2014).

    Article  ADS  Google Scholar 

  11. Prodan, E. & Prodan, C. Phys. Rev. Lett. 103, 248101 (2009).

    Article  ADS  Google Scholar 

  12. Berg, N., Joel, K., Koolyk, M. & Prodan, E. Phys. Rev. E 83, 021913 (2011).

    Article  ADS  Google Scholar 

  13. Ornes, S. Phys. World 28, 33–36 (June, 2015).

  14. Süsstrunk, R. & Huber, S. D. Preprint at http://arxiv.org/abs/1604.01033 (2016).

  15. Lubensky, T. C., Kane, C. L., Mao, X., Souslov, A. & Sun, K. Rep. Prog. Phys. 78, 073901 (2015).

    Article  ADS  Google Scholar 

  16. Sussman, D. S., Stenull, O. & Lubensky, T. C. Preprint at http://arxiv.org/abs/1512.04480 (2015).

  17. Paulose, J., Chen, B. G. G. & Vitelli, V. Nature Phys. 11, 153–156 (2015).

    Article  ADS  Google Scholar 

  18. Su, W. P., Schrieffer, J. R. & Heeger, A. J. Phys. Rev. Lett. 42, 1698–1701 (1979).

    Article  ADS  Google Scholar 

  19. Chen, B. G. G., Upadhyaya, N. & Vitelli, V. Proc. Natl Acad. Sci. USA 111, 13004–13009 (2014).

    Article  ADS  MathSciNet  Google Scholar 

  20. Vitelli, V., Upadhyaya, N. & Chen, B. G.-g. Preprint at http://arxiv.org/abs/1407.2890 (2014).

  21. Paulose, J., Meeussen, A. S. & Vitelli, V. Proc. Natl Acad. Sci. USA 112, 7639–7644 (2015).

    Article  ADS  Google Scholar 

  22. Chen, B. G.-g. et al. Phys. Rev. Lett. 116, 135501 (2016).

    Article  ADS  Google Scholar 

  23. Fleury, R., Sounas, D. L., Haberman, M. R. & Alù, A. Acoust. Today 11, 14–21 (2015).

    Google Scholar 

  24. Fleury, R., Sounas, D. L., Sieck, C. F., Haberman, M. R. & Alù, A. Science 343, 516–519 (2014).

    Article  ADS  Google Scholar 

  25. Yang, Z. J. et al. Phys. Rev. Lett. 114, 114301 (2015).

    Article  ADS  Google Scholar 

  26. Ryu, S., Schnyder, A. P., Furusaki, A. & Ludwig, A. W. W. New. J. Phys. 12, 065010 (2010).

    Article  ADS  Google Scholar 

  27. Kitaev, A. AIP Conf. Proc. 1134, 22–30 (2009).

    Article  ADS  Google Scholar 

  28. Nash, L. M. et al. Proc. Natl Acad. Sci. USA 112, 14495–14500 (2015).

    Article  ADS  Google Scholar 

  29. Wang, P., Lu, L. & Bertoldi, K. Phys. Rev. Lett. 115, 104302 (2015).

    Article  ADS  Google Scholar 

  30. Süsstrunk, R. & Huber, S. D. Science 349, 47–50 (2015).

    Article  ADS  Google Scholar 

  31. Xiao, M. et al. Nature Phys. 11, 240–244 (2015).

    Article  ADS  Google Scholar 

  32. He, C. et al. Preprint at http://arxiv.org/abs/1512.03273 (2015).

  33. Lu, L., Joannopoulos, J. D. & Soljačić, M. Nature Phys. 12, 626–629 (2016).

    Article  ADS  Google Scholar 

  34. Rocklin, D. Z., Zhou, S., Sun, K. & Mao, X. Preprint at http://arxiv.org/abs/1510.06389 (2015).

  35. Rocklin, D. Z., Chen, B. G.-g., Falk, M., Vitelli, V. & Lubensky, T. C. Phys. Rev. Lett. 116, 135503 (2016).

    Article  ADS  Google Scholar 

  36. Pal, R. K. & Schaeffer, M. & Ruzzene, M. J. Appl. Phys. 119, 084305 (2016).

    Article  ADS  Google Scholar 

  37. Salerno, G., Ozawa, T., Price, H. M. & Carusotto, I. Phys. Rev. B 93, 085105 (2016).

    Article  ADS  Google Scholar 

  38. Khanikaev, A. B., Fleury, R., Mousavi, S. H. & Alú, A. Nature Commun. 6, 8260 (2015).

    Article  ADS  Google Scholar 

  39. Mousavi, S. H., Khanikaev, A. B. & Wang, Z. Nature Commun. 6, 8682 (2015).

    Article  ADS  Google Scholar 

  40. Xiao, M., Chen, W.-J., He, W.-Y. & Chan, C. T. Nature Phys. 11, 920–924 (2015).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sebastian D. Huber.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huber, S. Topological mechanics. Nature Phys 12, 621–623 (2016). https://doi.org/10.1038/nphys3801

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/nphys3801

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