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Purpose <p>This study systematically investigates the statistical properties of topologically protected chiral edge states (TPESs)&#xa0;in straight and Z-shaped acoustic interface waveguides (IWs) composed of valley topological phononic crystals&#xa0;(TPCs) with random lattice disorders. The aim is to clarify how lattice disorders affect TPESs, compare their impacts&#xa0;with interface disorders, and reveal the chiral dependence of TPESs on lattice disorders.</p> Methods <p>Two types of disorders in TPCs are introduced: rotation angle disorder and displacement disorder. Using finite&#xa0;element method simulations, we analyze the transmission coefficients of TPESs in IWs with different disorder&#xa0;distributions. The effective acoustic impedance method is employed to quantify the disorder effects, and valley state&#xa0;stability in supercell models is examined to explain chiral behavior.</p> Results <p>TPESs exhibit chiral sensitivity to lattice disorders: left-side disorders (relative to wave propagation) induce stronger&#xa0;backscattering than right-side disorders, due to the asymmetric stability of valley states in TPCs. Displacement&#xa0;disorders affect TPESs more drastically than rotation angle disorders, as they fully break lattice symmetry. TPESs are&#xa0;more robust against interface disorders compared to lattice disorders, while normal edge states show no chiral&#xa0;dependence and are more vulnerable to all disorders.</p> Conclusion <p>The chiral dependence of TPESs on random lattice disorders originates from the topological properties of valley&#xa0;states. Lattice disorders impact TPESs more significantly than interface disorders, with displacement disorders being&#xa0;the most detrimental. These findings highlight the unique robustness of TPESs and provide insights for designing&#xa0;low-loss acoustic devices.</p>

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Statistical Properties of Topologically Protected Chiral Edge States in Interface Waveguides Consisting of Phononic Crystals with Random Lattice Disorders

  • 期刊论文

  • 发表日期：

    2025年6月9日

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  • Shaochang Niu,
  • Haitao Zhang,
  • Yaoyu Luo,
  • Shi Chen,
  • Chenghui Wang

摘要

Purpose

This study systematically investigates the statistical properties of topologically protected chiral edge states (TPESs) in straight and Z-shaped acoustic interface waveguides (IWs) composed of valley topological phononic crystals (TPCs) with random lattice disorders. The aim is to clarify how lattice disorders affect TPESs, compare their impacts with interface disorders, and reveal the chiral dependence of TPESs on lattice disorders.

Methods

Two types of disorders in TPCs are introduced: rotation angle disorder and displacement disorder. Using finite element method simulations, we analyze the transmission coefficients of TPESs in IWs with different disorder distributions. The effective acoustic impedance method is employed to quantify the disorder effects, and valley state stability in supercell models is examined to explain chiral behavior.

Results

TPESs exhibit chiral sensitivity to lattice disorders: left-side disorders (relative to wave propagation) induce stronger backscattering than right-side disorders, due to the asymmetric stability of valley states in TPCs. Displacement disorders affect TPESs more drastically than rotation angle disorders, as they fully break lattice symmetry. TPESs are more robust against interface disorders compared to lattice disorders, while normal edge states show no chiral dependence and are more vulnerable to all disorders.

Conclusion

The chiral dependence of TPESs on random lattice disorders originates from the topological properties of valley states. Lattice disorders impact TPESs more significantly than interface disorders, with displacement disorders being the most detrimental. These findings highlight the unique robustness of TPESs and provide insights for designing low-loss acoustic devices.