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Third-order square-root topological insulators on decorated diamond sonic crystals.

Zhi-Guo Geng1, Ya-Xi Shen1, Liwei Duan1

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Journal of Physics. Condensed Matter : an Institute of Physics Journal
|June 26, 2023
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Researchers created novel third-order square-root topological insulators for acoustics. These materials exhibit unique localized sound states, offering new possibilities for acoustic sensor applications.

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Area of Science:

  • Acoustics
  • Condensed Matter Physics
  • Topological Materials

Background:

  • Topological phases can be generated using the square-root operation, inheriting properties from the parent Hamiltonian.
  • Higher-order topological insulators exhibit unique boundary states.

Purpose of the Study:

  • To experimentally realize third-order square-root topological insulators in an acoustic system.
  • To investigate the properties and potential applications of acoustic localized modes in these novel topological phases.

Main Methods:

  • Modification of a diamond lattice by adding resonators to create square-root topological phases.
  • Utilizing bulk polarizations of tight-binding models to analyze topological features.
  • Fabricating tetrahedron-like and rhombohedron-like sonic crystals to observe corner states.
  • Introducing random disorders to test the robustness of topological states.

Main Results:

  • Acoustic localized modes were observed in doubled bulk gaps due to the square-root operation.
  • Third-order topological corner states emerged in specific sonic crystal geometries (tetrahedron-like and rhombohedron-like).
  • The shape of the sonic crystals influenced the square-root corner states, allowing for flexible sound localization.
  • Corner states demonstrated robustness against disorders in the bulk region of 3D lattices.

Conclusions:

  • The study successfully extended square-root higher-order topological states into three-dimensional acoustic systems.
  • The findings suggest potential applications in selective acoustic sensing and advanced sound manipulation.