Topological lattices lit at the corners


Higher-order topological states that are robust against certain classes of disorder and pinned to lattice corners are now observed in photonics platforms.

Access options

Rent or Buy article

Get time limited or full article access on ReadCube.


All prices are NET prices.

Fig. 1: Topologically protected edge and corner states.


  1. 1.

    Asbóth, J. K., Oroszlány, L. & Pályi, A. A Short Course on Topological Insulators: Band Structure and Edge States in One and Two Dimensions (Springer International Publishing, 2016).

  2. 2.

    Lu, L., Joannopoulos, J. D. & Soljacic, M. Nat. Photon. 8, 821–829 (2014).

    ADS  Article  Google Scholar 

  3. 3.

    Ozawa, T. et al. Rev. Mod. Phys. 91, 015006 (2019).

    ADS  Article  Google Scholar 

  4. 4.

    Benalcazar, W. A., Bernevig, B. A. & Hughes, T. L. Science 357, 61–66 (2017).

    ADS  Article  Google Scholar 

  5. 5.

    Imhof, S. et al. Nat. Phys. 14, 925–929 (2018).

    Article  Google Scholar 

  6. 6.

    Peterson, C. W., Benalcazar, W. A., Hughes, T. L. & Bahl, G. Nature 555, 346–350 (2018).

    ADS  Article  Google Scholar 

  7. 7.

    Serra-Garcia, M. et al. Nature 555, 342–345 (2018).

    ADS  Article  Google Scholar 

  8. 8.

    El Hassan, A. et al. Nat. Photon. https://doi.org/10.1038/s41566-019-0519-y (2019).

    Article  Google Scholar 

  9. 9.

    Mittal, S. et al. Nat. Photon. https://doi.org/10.1038/s41566-019-0452-0 (2019).

    Article  Google Scholar 

  10. 10.

    Liu, T. et al. Phys. Rev. Lett. 122, 076801 (2019).

    ADS  Article  Google Scholar 

  11. 11.

    Kawabata, K., Higashikawa, S., Gong, Z., Ashida, Y. & Ueda, M. Nat. Commun. 10, 297 (2019).

    ADS  Article  Google Scholar 

  12. 12.

    El-Ganainy, R. et al. Nat. Phys. 14, 11–19 (2018).

    Article  Google Scholar 

  13. 13.

    Özdemir, Ş. K., Rotter, S., Nori, F. & Yang, L. Nat. Mater. 18, 783–798 (2019).

    ADS  Article  Google Scholar 

Download references

Author information



Corresponding authors

Correspondence to Şahin K. Özdemir or Ramy El-Ganainy.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Özdemir, Ş.K., El-Ganainy, R. Topological lattices lit at the corners. Nat. Photonics 13, 660–662 (2019). https://doi.org/10.1038/s41566-019-0523-2

Download citation

Further reading


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