ArticleNature communications2022
Square-root higher-order Weyl semimetals.
Article in Nature communications, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- Interacting non-Hermitian edge and cluster bursts on a digital quantum processor.Nature communications · 2026Article
- Higher-order exceptional ring semimetal with real hinge states in acoustic metamaterials.National science review · 2026Article
- Helically Magnetized Plasma: From Photonic Fermi-Arc Metal to Chirality-Free Uniaxial Medium.Nanophotonics (Berlin, Germany) · 2026Article
- Unconventional Topological Weyl Dipole Phonon.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Observation of higher-order time-dislocation topological modes.Nature communications · 2025Article
- Topolectrical space-time circuits.Nature communications · 2025Article
- Non-Hermitian Global Synchronization.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- TopologicalNanophotonics (Berlin, Germany) · 2024Article
- Real higher-order Weyl photonic crystal.Nature communications · 2023Article
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Authors and funding
4 authors.
Funding
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.
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Registered trials
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