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The effective way

A theoretical framework for the design of so-called perturbative metamaterials, based on weakly interacting unit cells, has led to the experimental demonstration of a quadrupole topological insulator.

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  1. Matlack, K. H., Serra-Garcia, M., Palermo, A., Huber, S. D. & Daraio, C. Nat. Mater. (2018).

  2. Bertoldi, K., Vitelli, V., Christensen, J. & van Hecke, M. Nat. Rev. Mater. 2, 17066 (2017).

    Article  Google Scholar 

  3. Coulais, C., Teomy, E., de Reus, K., Shokef, Y. & van Hecke, M. Nature 535, 529–532 (2016).

    Article  Google Scholar 

  4. Bradlyn, B. et al. Nature 547, 298–305 (2017).

    Article  Google Scholar 

  5. Serra-Garcia, M. et al. Nature (2018).

  6. Chalker, J. T. & Coddington, P. D. J. Phys. C: Solid State Phys. 21, 2665–2679 (1988).

    Article  Google Scholar 

  7. Liang, G. Q. & Chong, Y. D. Phys. Rev. Lett. 110, 203904 (2013).

    Article  Google Scholar 

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

    Article  Google Scholar 

  9. Coulais, C., Sounas, D. & Alù, A. Nature 542, 461–464 (2017).

    Article  Google Scholar 

  10. Leykam, D. & Chong, Y. D. Phys. Rev. Lett. 117, 143901 (2016).

    Article  Google Scholar 

  11. Schultheiss, V. H., Wimmer, M., Malzer, S. & Peschel, U. Phys. Rev. X 8, 011017 (2018).

    Google Scholar 

  12. Fruchart, M. et al. Proc. Natl Acad Sci. USA (in the press); preprint at

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Correspondence to Michel Fruchart or Vincenzo Vitelli.

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Fruchart, M., Vitelli, V. The effective way. Nature Mater 17, 292–293 (2018).

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