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Time-periodic corner states from Floquet higher-order topology

Author

Listed:
  • Weiwei Zhu

    (National University of Singapore)

  • Haoran Xue

    (Nanyang Technological University)

  • Jiangbin Gong

    (National University of Singapore)

  • Yidong Chong

    (Nanyang Technological University
    Nanyang Technological University)

  • Baile Zhang

    (Nanyang Technological University
    Nanyang Technological University)

Abstract

The recent discoveries of higher-order topological insulators (HOTIs) have shifted the paradigm of topological materials, previously limited to topological states at boundaries of materials, to include topological states at boundaries of boundaries, such as corners. So far, all HOTI realisations have been based on static systems described by time-invariant Hamiltonians, without considering the time-variant situation. There is growing interest in Floquet systems, in which time-periodic driving can induce unconventional phenomena such as Floquet topological phases and time crystals. Recent theories have attempted to combine Floquet engineering and HOTIs, but there has been no experimental realisation so far. Here we report on the experimental demonstration of a two-dimensional (2D) Floquet HOTI in a three-dimensional (3D) acoustic lattice, with modulation along a spatial axis serving as an effective time-dependent drive. Acoustic measurements reveal Floquet corner states with double the period of the underlying drive; these oscillations are robust, like time crystal modes, except that the robustness arises from topological protection. This shows that space-time dynamics can induce anomalous higher-order topological phases unique to Floquet systems.

Suggested Citation

  • Weiwei Zhu & Haoran Xue & Jiangbin Gong & Yidong Chong & Baile Zhang, 2022. "Time-periodic corner states from Floquet higher-order topology," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-021-27552-6
    DOI: 10.1038/s41467-021-27552-6
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    References listed on IDEAS

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    1. Marc Serra-Garcia & Valerio Peri & Roman Süsstrunk & Osama R. Bilal & Tom Larsen & Luis Guillermo Villanueva & Sebastian D. Huber, 2018. "Observation of a phononic quadrupole topological insulator," Nature, Nature, vol. 555(7696), pages 342-345, March.
    2. Christopher W. Peterson & Wladimir A. Benalcazar & Taylor L. Hughes & Gaurav Bahl, 2018. "A quantized microwave quadrupole insulator with topologically protected corner states," Nature, Nature, vol. 555(7696), pages 346-350, March.
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