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This study introduces a novel topological acoustic conductor, demonstrating an acoustic energy sink. This phenomenon, unlike topological insulators, traps acoustic energy within the bulk media.

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Area of Science:

  • Acoustic Metamaterials
  • Topological Physics
  • Condensed Matter Theory

Background:

  • Topological phenomena in acoustics typically involve edge states, explained by quantum anomalous hall effects (QAHE), quantum valley hall effects (QVHE), and quantum spin hall effects (QSHE).
  • These phenomena rely on bulk-boundary distinction in topological insulators, where the bulk is insulated and edge states propagate.
  • Existing models do not explain acoustic energy trapping within the bulk.

Purpose of the Study:

  • To theoretically demonstrate a topological acoustic conductor with insulated boundaries.
  • To explain a novel acoustic energy sink phenomenon not covered by existing topological theories.
  • To investigate the underlying mechanisms of bulk acoustic energy trapping.

Main Methods:

  • Designed phononic crystals (PnCs) to achieve accidental triple degeneracies.
  • Created a Dirac-like cone at the Γ point in the phononic band structure.
  • Analyzed the 'Deaf band' behavior and its impact on wave energy transport.

Main Results:

  • Demonstrated a topological acoustic conductor with insulated boundaries, the inverse of a topological insulator.
  • Observed acoustic energy trapping within the bulk media, independent of microarchitecture and microrotation.
  • Identified continuously changing 'up spin' and 'down spin' of wave energy, leading to trapped energy without directional transport.
  • Showcased a switching geometric phase in a cyclic pattern due to generated spin angular momentum.

Conclusions:

  • The presented topological acoustic conductor offers a new paradigm for acoustic energy manipulation.
  • The findings provide a theoretical framework for acoustic energy sinks, distinct from conventional topological insulators.
  • The unique 'Deaf band' and spin dynamics offer potential for novel acoustic device applications.