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Updated: Jul 24, 2025

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Published on: June 28, 2016
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.
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.
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.
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