Synthetic Weyl Points of the Shear Horizontal Guided Waves in One-Dimensional Phononic Crystal Plates

Hongbo Zhang,Shaobo Zhang,Jiang Liu,Bilong Liu

doi:10.3390/app12010167

Abstract

Weyl physics in acoustic and elastic systems has drawn extensive attention. In this paper, Weyl points of shear horizontal guided waves are realized by one-dimensional phononic crystal plates, in which one physical dimension plus two geometrical parameters constitute a synthetic three-dimensional space. Based on the finite element method, we have not only observed the synthetic Weyl points but also explored the Weyl interface states and the reflection phase vortices, which have further proved the topological phase interface states. As the first realization of three-dimensional topological phases through one-dimensional phononic crystal plates in the synthetic dimension, this research demonstrates the great potential of applicable one-dimensional plate structural systems in detecting higher-dimensional topological phenomena.

Highlights

Weyl semimetals, which have linear intersections at the isolated momentum in threedimensional (3D) materials, have attracted great research interests [1,2,3]
Starting from the special case, the synthesis parameters are selected as p = q = 0, in other words, t1 = t3, and t2 = t4
A virtual 3D space is formed by the Bloch wave vector plus the two additional parameters

Summary

Introduction

Weyl semimetals, which have linear intersections at the isolated momentum in threedimensional (3D) materials, have attracted great research interests [1,2,3]. The linear intersection points named as Weyl points (WPs) are stable in the face of small disturbances [4,5,6]. Weyl semimetals exhibit various intriguing features, such as chiral anomalies and topological Femi interface states [5,6,7,8,9]. Researcher has introduced Weyl physics into sonic crystals [10,11,12,13,14], and the related topological surface states have been extensively explored. The vast majority of Weyl crystals have a real 3D structure, which are complicated in manufacturing samples and detecting signals. There are many ways to create synthetic dimensions, and the development of synthetic dimensions even provides a corresponding way to explore systems beyond 3D systems [24]

Methods

Results

Conclusion