Photonic amorphous topological insulator

Peiheng Zhou; Gui-Geng Liu; Xin Ren; Yihao Yang; Haoran Xue; Lei Bi; Longjiang Deng; Yidong Chong; Baile Zhang

doi:10.1038/s41377-020-00368-7

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Photonic amorphous topological insulator

Article

- Photonic amorphous topological insulator
- Light: Science & Applications Vol. 9, Issue 4, Pages: 1272-1279(2020)
- Affiliations：
  
  1.National Engineering Research Center of Electromagnetic Radiation Control Materials, University of Electronic Science and Technology of China, 610054 Chengdu, China
  2.Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
  3.Centre for Disruptive Photonic Technologies, The Photonics Institute, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
- Author bio：
  
  Yihao Yang (yang.yihao@ntu.edu.sg)
  Yidong Chong (yidong@ntu.edu.sg)
  Baile Zhang (blzhang@ntu.edu.sg)
- Funds：
- DOI：10.1038/s41377-020-00368-7
  CLC：
- Published：2020，
  
  Published Online：24 July 2020，
  
  Received：30 March 2020，
  
  Revised：06 July 2020，
  
  Accepted：08 July 2020
- Accepted：
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Zhou, P. et al. Photonic amorphous topological insulator. Light: Science & Applications, 9, 1272-1279 (2020).
DOI：

Zhou, P. et al. Photonic amorphous topological insulator. Light: Science & Applications, 9, 1272-1279 (2020). DOI： 10.1038/s41377-020-00368-7.

摘要

Abstract

The current understanding of topological insulators and their classical wave analogs

such as photonic topological insulators

is mainly based on topological band theory. However

standard band theory does not apply to amorphous phases of matter

which are formed by non-crystalline lattices with no long-range positional order but only short-range order

exhibiting unique phenomena such as the glass-to-liquid transition. Here

we experimentally investigate amorphous variants of a Chern number-based photonic topological insulator. By tuning the disorder strength in the lattice

we demonstrate that photonic topological edge states can persist into the amorphous regime prior to the glass-to-liquid transition. After the transition to a liquid-like lattice configuration

the signatures of topological edge states disappear. This interplay between topology and short-range order in amorphous lattices paves the way for new classes of non-crystalline topological photonic bandgap materials.

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references

Rechtsman, M. C. et al. Photonic Floquet topological insulators.Nature496, 196–200 (2013)..

Khanikaev, A. B. et al. Photonic topological insulators.Nat. Mater.12, 233–239 (2013)..

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

Khanikaev, A. B.&Shvets, G. Two-dimensional topological photonics.Nat. Photon.11, 763–773 (2017)..

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

Bandres, M. A. et al. Topological insulator laser: experiments.Science359, eaar4005 (2018)..

Harari, G. et al. Topological insulator laser: theory.Science359, eaar4003 (2018)..

Bahari, B. et al. Nonreciprocal lasing in topological cavities of arbitrary geometries.Science358, 636–640 (2017)..

Hafezi, M., Demler, E. A., Lukin, M. D.&Taylor, J. M. Robust optical delay lines with topological protection.Nat. Phys.7, 907–912 (2011)..

Haldane, F. D.&Raghu, S. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry.Phys. Rev. Lett.100, 013904 (2008)..

Raghu, S.&Haldane, F. D. M. Analogs of quantum-Hall-effect edge states in photonic crystals.Phys. Rev. A78, 033834 (2008)..

Wang, Z., Chong, Y. D., Joannopoulos, J. D.&Soljacic, M. Reflection-free one-way edge modes in a gyromagnetic photonic crystal.Phys. Rev. Lett.100, 013905 (2008)..

Wang, Z., Chong, Y., Joannopoulos, J. D.&Soljacic, M. Observation of unidirectional backscattering-immune topological electromagnetic states.Nature461, 772–775 (2009)..

Poo, Y., Wu, R. X., Lin, Z., Yang, Y.&Chan, C. T. Experimental realization of self-guiding unidirectional electromagnetic edge states.Phys. Rev. Lett.106, 093903 (2011)..

Chen, W. J. et al. Experimental realization of photonic topological insulator in a uniaxial metacrystal waveguide.Nat. Commun.5, 5782 (2014)..

Cheng, X. et al. Robust reconfigurable electromagnetic pathways within a photonic topological insulator.Nat. Mater.15, 542–548 (2016)..

Wu, X. et al. Direct observation of valley-polarized topological edge states in designer surface plasmon crystals.Nat. Commun.8, 1304 (2017)..

Yves, S. et al. Crystalline metamaterials for topological properties at subwavelength scales.Nat. Commun.8, 16023 (2017)..

Gao, F. et al. Topologically protected refraction of robust kink states in valley photonic crystals.Nat. Phys.14, 140–144 (2018)..

Noh, J., Huang, S., Chen, K. P.&Rechtsman, M. C. Observation of photonic topological valley Hall edge states.Phys. Rev. Lett.120, 063902 (2018)..

Barik, S. et al. A topological quantum optics interface.Science359, 666–668 (2018)..

Shalaev, M. I., Walasik, W., Tsukernik, A., Xu, Y.&Litchinitser, N. M. Robust topologically protected transport in photonic crystals at telecommunication wavelengths.Nat. Nanotechnol.14, 31–34 (2019)..

Yang, Y. et al. Realization of a three-dimensional photonic topological insulator.Nature565, 622–626 (2019)..

He, X. T. et al. A silicon-on-insulator slab for topological valley transport.Nat. Commun.10, 872 (2019)..

Keller, J.&Ziman, J. Long range order, short range order and energy gaps.J. Non-Crystalline Solids8, 111–121 (1972)..

Kraus, Y. E., Lahini, Y., Ringel, Z., Verbin, M.&Zilberberg, O. Topological states and adiabatic pumping in quasicrystals.Phys. Rev. Lett.109, 106402 (2012)..

Bandres, M. A., Rechtsman, M. C.&Segev, M. Topological photonic quasicrystals: fractal topological spectrum and protected transport.Phys. Rev. X6, 011016 (2016)..

Dong, J.-W. et al. Conical dispersion and effective zero refractive index in photonic quasicrystals.Phys. Rev. Lett.114, 163901 (2015)..

Rechtsman, M. et al. Amorphous photonic lattices: band gaps, effective mass, and suppressed transport.Phys. Rev. Lett.106, 193904 (2011)..

Vynck, K., Burresi, M., Riboli, F.&Wiersma, D. S. Photon management in two-dimensional disordered media.Nat. Mater.11, 1017–1022 (2011)..

Joshua, R., Patrick, T.&Pavel, Y. Foam as a self-assembling amorphous photonic band gap material.Proc. Natl. Acad. Sci. USA116, 9202–9207 (2019)..

Liu, C., Gao, W., Yang, B.&Zhang, S. Disorder-induced topological state transition in photonic metamaterials.Phys. Rev. Lett.119, 183901 (2017)..

Titum, P., Lindner, N. H., Rechtsman, M. C.&Refael, G. Disorder-induced Floquet topological insulators.Phys. Rev. Lett.114, 056801 (2015)..

Stutzer, S. et al. Photonic topological Anderson insulators.Nature560, 461–465 (2018)..

Bourne, C.&Prodan, E. Non-commutative Chern numbers for generic aperiodic discrete systems.J. Phys. A51, 235202 (2018)..

Berthier, L.&Biroli, G. Theoretical perspective on the glass transition and amorphous materials.Rev. Mod. Phys.83, 587 (2011)..

Amann-Winkel, K. et al. Colloquium: water's controversial glass transitions.Rev. Mod. Phys.88, 011002 (2016)..

Macio, C., Gabriel, R. S., Marco, B. N., Caio, L.&Adalberto, F. Toward realistic amorphous topological insulators.Nano Lett.19, 8941–8946 (2019)..

Agarwala, A.&Shenoy, V. B. Topological insulators in amorphous systems.Phys. Rev. Lett.118, 236402 (2017)..

Agarwala, A., Juricic, V.&Roy, B. Higher-order topological insulators in amorphous solids.Phys. Rev. Res.2, 012067(R) (2020)..

Mitchell, N. P., Nash, L. M., Hexner, D., Turner, A. M.&Irvine, W. T. Amorphous topological insulators constructed from random point sets.Nat. Phys.14, 380 (2018)..

Yang, B. et al. Topological states in amorphous magnetic photonic lattices.Phys. Rev. B99, 045307 (2019)..

Mansha, S.&Chong, Y. D. Robust edge states in amorphous gyromagnetic photonic lattices.Phys. Rev. B96, 121405 (2017)..

Gao, G.-J., Bławzdziewicz, J.&O'Hern, C. S. Frequency distribution of mechanically stable disk packings.Phys. Rev. E74, 061304 (2006)..

Torquato, S. Perspective: basic understanding of condensed phases of matter via packing models.J. Chem. Phys.149, 020901 (2018)..

Luo, W., Sheng, H.&Ma, E. Pair correlation functions and structural building schemes in amorphous alloys.Appl. Phys. Lett.89, 131927 (2006)..

Liu, C., Rybin, M. V., Mao, P., Zhang, S.&Kivshar, Y. Disorder-immune photonics based on Mie-resonant dielectric metamaterials.Phys. Rev. Lett.123, 163901 (2019)..

Lewis, L. J. Atomic dynamics through the glass transition.Phys. Rev. B44, 4245 (1991)..

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