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A square-root topological insulator with non-quantized indices realized with photonic Aharonov-Bohm cages

Author

Listed:
  • Mark Kremer

    (Institut für Physik, Universität Rostock)

  • Ioannis Petrides

    (Institut für Theoretische Physik, ETH Zürich)

  • Eric Meyer

    (Institut für Physik, Universität Rostock)

  • Matthias Heinrich

    (Institut für Physik, Universität Rostock)

  • Oded Zilberberg

    (Institut für Theoretische Physik, ETH Zürich)

  • Alexander Szameit

    (Institut für Physik, Universität Rostock)

Abstract

Topological Insulators are a novel state of matter where spectral bands are characterized by quantized topological invariants. This unique quantized nonlocal property commonly manifests through exotic bulk phenomena and corresponding robust boundary effects. In our work we study a system where the spectral bands are associated with non-quantized indices, but nevertheless possess robust boundary states. We present a theoretical analysis, where we show that the square of the Hamiltonian exhibits quantized indices. The findings are experimentally demonstrated by using photonic Aharonov-Bohm cages.

Suggested Citation

  • Mark Kremer & Ioannis Petrides & Eric Meyer & Matthias Heinrich & Oded Zilberberg & Alexander Szameit, 2020. "A square-root topological insulator with non-quantized indices realized with photonic Aharonov-Bohm cages," Nature Communications, Nature, vol. 11(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:11:y:2020:i:1:d:10.1038_s41467-020-14692-4
    DOI: 10.1038/s41467-020-14692-4
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    Cited by:

    1. Weixuan Zhang & Hao Yuan & Haiteng Wang & Fengxiao Di & Na Sun & Xingen Zheng & Houjun Sun & Xiangdong Zhang, 2022. "Observation of Bloch oscillations dominated by effective anyonic particle statistics," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    2. Lingling Song & Huanhuan Yang & Yunshan Cao & Peng Yan, 2022. "Square-root higher-order Weyl semimetals," Nature Communications, Nature, vol. 13(1), pages 1-7, December.

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