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Square-root higher-order Weyl semimetals.

Lingling Song1, Huanhuan Yang1, Yunshan Cao1

  • 1School of Electronic Science and Engineering and State Key Laboratory of Electronic Thin Films and Integrated Devices, University of Electronic Science and Technology of China, Chengdu, 610054, China.

Nature Communications
|September 24, 2022
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Summary
This summary is machine-generated.

We introduce a novel square-root higher-order Weyl semimetal (SHOWS) model. This model exhibits unique Fermi-arc surface and hinge states, paving the way for new 3D topological materials.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • Quantum mechanics relies on linear algebra, but nonlinear operators can yield significant discoveries.
  • The Dirac equation, derived from the Klein-Gordon equation, predicted the positron.

Purpose of the Study:

  • To propose and investigate a theoretical model for square-root higher-order Weyl semimetals (SHOWS).
  • To explore the topological properties and potential applications of SHOWS.

Main Methods:

  • Theoretical construction of the SHOWS model by inheriting features from parent Hamiltonians.
  • Experimental realization using 3D stacked electric circuits with specific hybridizations and couplings.
  • Observation of unique surface and hinge states.

Main Results:

  • The SHOWS model hosts both "Fermi-arc" surface states and hinge states.
  • These states connect projections of Weyl points on surfaces and arris.
  • Experimental observation of the exotic SHOWS state in fabricated electric circuits.

Conclusions:

  • The study successfully demonstrates the existence of square-root topology in a 3D solid-state platform.
  • The findings open avenues for realizing novel topological phenomena in artificial materials.
  • This work advances the understanding of topological phases beyond conventional frameworks.