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Crystalline metamaterials for topological properties at subwavelength scales

Yves, Simon, Fleury, Romain, Berthelot, Thomas, Fink, Mathias, Lemoult, Fabrice, Lerosey, Geoffroy·2017·Nature Communications

Abstract

The exciting discovery of topological condensed matter systems has lately triggered a search for their photonic analogues, motivated by the possibility of robust backscattering-immune light transport. However, topological photonic phases have so far only been observed in photonic crystals and waveguide arrays, which are inherently physically wavelength scaled, hindering their application in compact subwavelength systems. In this letter, we tackle this problem by patterning the deep subwavelength resonant elements of metamaterials onto specific lattices, and create crystalline metamaterials that can develop complex nonlocal properties due to multiple scattering, despite their very subwavelength spatial scale that usually implies to disregard their structure. These spatially dispersive systems can support subwavelength topological phases, as we demonstrate at microwaves by direct field mapping. Our approach gives a straightforward tabletop platform for the study of photonic topological phases, and allows to envision applications benefiting the compactness of metamaterials and the amazing potential of topological insulators.

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  1. Smith, D. R., Pendry, J. B. & Wiltshire, M. C. K. Metamaterials and negative refractive index. Science 305, 788–792 (2004). · DOI
  2. Engheta, N. & Ziolkowski, R. W. Metamaterials: Physics and Engineering Explorations John Wiley & Sons (2006). · DOI
  3. Cai, W. & Shalaev, V. M. Optical Metamaterials: Fundamentals and Applications Springer (2009). · DOI · Paper page
  4. Pendry, J. B., Schurig, D. & Smith, D. R. Controlling Electromagnetic Fields. Science 312, 1780–1782 (2006). · DOI
  5. Leonhardt, U. Optical conformal mapping. Science 312, 1777–1780 (2006). · DOI
  6. Feynman, R. P. The Feynman lectures on physics Vol II: mainly electromagnetism and matter Addison-Wesley (1965). · DOI
  7. Choi, M. et al. A terahertz metamaterial with unnaturally high refractive index. Nature 470, 369–373 (2011). · DOI
  8. Engheta, N. Pursuing near-zero response. Science 340, 286–287 (2013). · DOI
  9. Liu, Z. et al. Locally resonant sonic materials. Science 289, 1734–1736 (2000). · DOI
  10. Shelby, R. A., Smith, D. R. & Schultz, S. Experimental verification of a negative index of refraction. Science 292, 77–79 (2001). · DOI · Paper page
  11. Lemoult, F., Kaina, N., Fink, M. & Lerosey, G. Wave propagation control at the deep subwavelength scale in metamaterials. Nat. Phys. 9, 55–60 (2013). · DOI
  12. Kaina, N., Lemoult, F., Fink, M. & Lerosey, G. Ultra small mode volume defect cavities in spatially ordered and disordered metamaterials. Appl. Phys. Lett. 102, 144104 (2013). · DOI
  13. Alù, A. First-principles homogenization theory for periodic metamaterials. Phys. Rev. B 84, 75153 (2011). · DOI
  14. Kaina, N., Lemoult, F., Fink, M. & Lerosey, G. Negative refractive index and acoustic superlens from multiple scattering in single negative metamaterials. Nature 525, 77–81 (2015). · DOI
  15. Lemoult, F., Kaina, N., Fink, M. & Lerosey, G. Soda cans metamaterial: a subwavelength-scaled phononic crystal. Crystals 6, 82 (2016). · DOI
  16. Hasan, M. Z. & Kane, C. L. Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045–3067 (2010). · DOI · Paper page
  17. Raghu, S. & Haldane, F. D. M. Analogs of quantum-Hall-effect edge states in photonic crystals. Phys. Rev. A 78, 33834 (2008). · DOI · Paper page
  18. Hafezi, M., Demler, E. A., Lukin, M. D. & Taylor, J. M. Robust optical delay lines with topological protection. Nat. Phys. 7, 907–912 (2011). · DOI · Paper page
  19. Fang, K., Yu, Z. & Fan, S. Realizing effective magnetic field for photons by controlling the phase of dynamic modulation. Nat. Photon. 6, 782–787 (2012). · DOI · Paper page
  20. Khanikaev, A. B. et al. Photonic topological insulators. Nat. Mater. 12, 233–239 (2013). · DOI · Paper page
  21. Hafezi, M., Mittal, S., Fan, J., Migdall, A. & Taylor, J. M. Imaging topological edge states in silicon photonics. Nat. Photon. 7, 1001–1005 (2013). · DOI · Paper page
  22. Wu, L.-H. & Hu, X. Scheme for achieving a topological photonic crystal by using dielectric material. Phys. Rev. Lett. 114, 223901 (2015). · DOI · Paper page
  23. Hu, W. et al. Measurement of a Topological Edge Invariant in a Microwave Network. Phys. Rev. X 5, 11012 (2015).
  24. Cheng, X. et al. Robust reconfigurable electromagnetic pathways within a photonic topological insulator. Nat. Mater. 15, 542–548 (2016). · DOI · Paper page
  25. Gao, W. et al. Topological Photonic Phase in Chiral Hyperbolic Metamaterials. Phys. Rev. Lett. 114, 37402 (2015). · DOI · Paper page
  26. Silveirinha, M. G. Chern invariants for continuous media. Phys. Rev. B 92, 125153 (2015). · DOI
  27. Silveirinha, M. G. Z2 topological index for continuous photonic materials. Phys. Rev. B 93, 75110 (2016). · DOI
  28. Silveirinha, M. G. Bulk-edge correspondence for topological photonic continua. Phys. Rev. B 94, 205105 (2016). · DOI
  29. Khanikaev, A. B., Fleury, R., Mousavi, S. H. & Alù, A. Topologically robust sound propagation in an angular-momentum biased graphene-like resonator lattice. Nat. Commun. 6, 8260 (2015). · DOI
  30. Fleury, R., Khanikaev, A. & Alu, A. Floquet Topological Insulators for Sound. Nat. Commun 7, 11744 (2016). · DOI
  31. Peng, Y.-G. et al. Experimental demonstration of anomalous Floquet topological insulator for sound. Nat. Commun. 7, 13368 (2016). · DOI
  32. Lu, J. et al. Observation of topological valley transport of sound in sonic crystals. Nat. Phys. 13, 369–374 (2017). · DOI · Paper page
  33. He, C. et al. Acoustic topological insulator and robust one-way sound transport. Nat. Phys. 12, 1124–1129 (2016). · DOI
  34. Lax, M. Multiple scattering of waves. II. The effective field in dense systems. Phys. Rev. 85, 621–629 (1952). · DOI
  35. de Vries, P., van Coevorden, D. V. & Lagendijk, A. Point scatterers for classical waves. Rev. Mod. Phys. 70, 447–466 (1998). · DOI
  36. Strickland, D., Ayón, A. & Alù, A. Dynamic polarizability tensor for circular cylinders. Phys. Rev. B 91, 85104 (2015). · DOI
  37. Fukui, T., Hatsugai, Y. & Suzuki, H. Chern numbers in discretized brillouin zone: efficient method of computing (spin) hall conductances. J. Phys. Soc. Jpn 74, 1674–1677 (2005). · DOI

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Metadata

Authors
Yves, S., Fleury, R., Berthelot, T., Fink, M., Lemoult, F., & Lerosey, G.
Venue
Nature Communications
Published
2017-07-18
Volume
8
Issue
1
ISSN
2041-1723
Cited by
230
References
8
Language
en

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