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Two-dimensional Dirac phonons without/with inversion symmetry.

Chenyang Wang1,2, Wei-Wang Yu1,2, Ying Liu1,2

  • 1State Key Laboratory of Reliability and Intelligence of Electrical Equipment, Hebei University of Technology, Tianjin 300130, People's Republic of China.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|July 7, 2023
PubMed
Summary
This summary is machine-generated.

This study classifies two-dimensional Dirac phonons, revealing screw and time-reversal symmetries are key for their existence. These Dirac phonons can be viewed as two opposite-chirality Weyl points.

Keywords:
2D Dirac phononsinversion symmetryk·p model

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Phononics

Background:

  • Previous research focused on classifying 2D Dirac phonons protected by nonsymmorphic symmetries in spinless systems.
  • A gap exists in understanding the topological features of 2D Dirac phonons derived from effective models.

Purpose of the Study:

  • To classify 2D Dirac phonons based on symmetry, specifically focusing on inversion symmetry.
  • To identify the minimal symmetry requirements for the existence of 2D Dirac points.
  • To explore the topological characteristics of these Dirac phonons.

Main Methods:

  • Symmetry analysis to determine essential symmetries for Dirac points.
  • Construction of a k·p model to describe 2D Dirac phonons.
  • Classification of Dirac phonons into two categories: with and without inversion symmetry.

Main Results:

  • Screw symmetries combined with time-reversal symmetry are crucial for the existence of 2D Dirac points.
  • A 2D Dirac point can be understood as a composite of two 2D Weyl points with opposing chirality.
  • Two specific materials were identified to exemplify the theoretical findings.

Conclusions:

  • The study clarifies the topological features of 2D Dirac phonons in spinless systems.
  • Minimal symmetry conditions for 2D Dirac points were established.
  • The findings offer a deeper understanding of topological phononics and material design.