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

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2020
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Kremer, Mark
Petrides, Ioannis
Meyer, Eric
Heinrich, Matthias
Szameit, Alexander
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Nature Communications. Nature Publishing Group. 2020, 11, 907. eISSN 2041-1723. Available under: doi: 10.1038/s41467-020-14692-4
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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.

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ISO 690KREMER, Mark, 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. In: Nature Communications. Nature Publishing Group. 2020, 11, 907. eISSN 2041-1723. Available under: doi: 10.1038/s41467-020-14692-4
BibTex
@article{Kremer2020-02-14squar-55017,
  year={2020},
  doi={10.1038/s41467-020-14692-4},
  title={A square-root topological insulator with non-quantized indices realized with photonic Aharonov-Bohm cages},
  volume={11},
  journal={Nature Communications},
  author={Kremer, Mark and Petrides, Ioannis and Meyer, Eric and Heinrich, Matthias and Zilberberg, Oded and Szameit, Alexander},
  note={Article Number: 907}
}
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