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Topological acoustic triple point

Author

Listed:
  • Sungjoon Park

    (Institute for Basic Science
    Seoul National University
    Seoul National University)

  • Yoonseok Hwang

    (Institute for Basic Science
    Seoul National University
    Seoul National University)

  • Hong Chul Choi

    (Institute for Basic Science
    Seoul National University)

  • Bohm-Jung Yang

    (Institute for Basic Science
    Seoul National University
    Seoul National University)

Abstract

Acoustic phonon is a classic example of triple degeneracy point in band structure. This triple point always appears in phonon spectrum because of the Nambu–Goldstone theorem. Here, we show that this triple point can carry a topological charge $${\mathfrak{q}}$$ q that is a property of three-band systems with space-time-inversion symmetry. The charge $${\mathfrak{q}}$$ q can equivalently be characterized by the skyrmion number of the longitudinal mode, or by the Euler number of the transverse modes. We call triple points with nontrivial $${\mathfrak{q}}$$ q the topological acoustic triple point (TATP). TATP can also appear at high-symmetry momenta in phonon and spinless electron spectrums when Oh or Th groups protect it. The charge $${\mathfrak{q}}$$ q constrains the nodal structure and wavefunction texture around TATP, and can induce anomalous thermal transport of phonons and orbital Hall effect of electrons. Gapless points protected by the Nambu–Goldstone theorem form a new platform to study the topology of band degeneracies.

Suggested Citation

  • Sungjoon Park & Yoonseok Hwang & Hong Chul Choi & Bohm-Jung Yang, 2021. "Topological acoustic triple point," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
  • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-021-27158-y
    DOI: 10.1038/s41467-021-27158-y
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    1. Robert-Jan Slager & Adrien Bouhon & F. Nur Ünal, 2024. "Non-Abelian Floquet braiding and anomalous Dirac string phase in periodically driven systems," Nature Communications, Nature, vol. 15(1), pages 1-11, December.

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