Abstract
Acoustic tunneling is an essential property for phononic crystals in a Dirac-cone state. By analyzing the linear dispersion relations for the accidental degeneracy of Bloch eigenstates, the influence of geometric parameters on opening the Dirac-cone state and the directional band gaps’ widths are investigated. For two-dimensional hexachiral phononic crystals, for example, the four-fold accidental degenerate Dirac point emerges at the center of the irreducible Brillouin zone (IBZ). The Dirac cone properties and the band structure inversion problem are discussed. Finally, to verify acoustic transmission properties near the double-Dirac-cone frequency region, the numerical calculation of the finite-width phononic crystal structure is carried out, and the acoustic transmission tunneling effect is proved. The results enrich and expand the manipulating method in the topological insulator problem for hexachiral phononic crystals.
Highlights
Crystals 2021, 11, 1577. https://Acoustic/elastic wave control and acoustic transmission suppression by using phononic crystals has become a research hotspot in recent years [1,2,3]
The results show that the tunneling effect of acoustic transmission appears frequency in region
The Dirac-cone dispersion properties are systematically investigated for hexachiral phononic crystals in the present article
Summary
Acoustic/elastic wave control and acoustic transmission suppression by using phononic crystals has become a research hotspot in recent years [1,2,3]. The hexachiral phononic crystals do not have complete mirror symmetry, which gives a great influence on acoustic transmission and the acoustic topological insulator [27,28]. Rality, the hexachiral phononic crystals do not have complete mirror symmetry, whic 2 of 10 insulato gives a great influence on acoustic transmission and the acoustic topological [27,28].
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