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Square-root higher-order Weyl semimetals

Author

Listed:
  • Lingling Song

    (University of Electronic Science and Technology of China)

  • Huanhuan Yang

    (University of Electronic Science and Technology of China)

  • Yunshan Cao

    (University of Electronic Science and Technology of China)

  • Peng Yan

    (University of Electronic Science and Technology of China)

Abstract

The mathematical foundation of quantum mechanics is built on linear algebra, while the application of nonlinear operators can lead to outstanding discoveries under some circumstances, such as the prediction of positron, a direct outcome of the Dirac equation which stems from the square-root of the Klein-Gordon equation. In this article, we propose a model of square-root higher-order Weyl semimetal (SHOWS) by inheriting features from its parent Hamiltonians. It is found that the SHOWS hosts both “Fermi-arc” surface and hinge states that respectively connect the projection of the Weyl points on the side surface and arris. We theoretically construct and experimentally observe the exotic SHOWS state in three-dimensional (3D) stacked electric circuits with honeycomb-kagome hybridizations and double-helix interlayer couplings. Our results open the door for realizing the square-root topology in 3D solid-state platforms.

Suggested Citation

  • 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.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-33306-9
    DOI: 10.1038/s41467-022-33306-9
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    References listed on IDEAS

    as
    1. Mark Kremer & Ioannis Petrides & Eric Meyer & Matthias Heinrich & Oded Zilberberg & Alexander Szameit, 2020. "Publisher Correction: A square-root topological insulator with non-quantized indices realized with photonic Aharonov–Bohm cages," Nature Communications, Nature, vol. 11(1), pages 1-2, December.
    2. 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.
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