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Three-dimensional Optical-resolution Photoacoustic Microscopy
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Topological acoustic triple point.

Sungjoon Park1,2,3, Yoonseok Hwang1,2,3, Hong Chul Choi1,2

  • 1Center for Correlated Electron Systems, Institute for Basic Science, Seoul, 08826, Korea.

Nature Communications
|November 23, 2021
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Summary
This summary is machine-generated.

Topological acoustic triple points (TATP) possess a unique topological charge, arising from Nambu-Goldstone theorem protection. This discovery opens new avenues for exploring topological band degeneracies and their exotic properties.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Topological Physics

Background:

  • Triple degeneracy points are fundamental features in band structures, often protected by symmetries and theorems like Nambu-Goldstone.
  • The topological properties of these degeneracies, particularly in acoustic phonons, have remained largely unexplored.

Purpose of the Study:

  • To investigate the topological nature of triple degeneracy points in acoustic phonon systems.
  • To introduce and characterize the concept of a topological charge associated with these points.
  • To explore the potential physical consequences and applications of these topological triple points.

Main Methods:

  • Theoretical analysis of three-band systems with space-time-inversion symmetry.
  • Characterization of the topological charge using skyrmion and Euler numbers.
  • Identification of conditions for the emergence of topological acoustic triple points (TATP) in phonon and electron spectra under specific symmetry groups (Oh, Th).

Main Results:

  • Demonstrated that triple degeneracy points in acoustic phonons carry a topological charge [Formula: see text].
  • Defined topological acoustic triple points (TATP) based on nontrivial topological charge.
  • Showcased that TATP can manifest in phonon and spinless electron spectra at high-symmetry momenta.
  • Revealed that the topological charge dictates nodal structure and wavefunction texture, leading to anomalous thermal transport and orbital Hall effects.

Conclusions:

  • Triple degeneracy points, protected by the Nambu-Goldstone theorem, harbor non-trivial topological properties.
  • Topological acoustic triple points (TATP) offer a new paradigm for studying band topology and its physical manifestations.
  • These findings pave the way for novel phenomena in condensed matter physics and potential technological applications.