タイトバインディングモデルによる3次元トポロジカルフォノニック結晶の設計

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  • Design of Three-dimensional Topological Phononic Crystals with Tight-binding Model

説明

<p>Finite element method (FEM) with periodic conditions is widely used for designing topological phononic crystals (PnCs), which enable to fabricate robust waveguides against disorder and defects. However, it takes a lot of time to calculate dispersion relations with FEM analysis because calculation at a lot of wavevector points is necessary. In this study, we use tight-binding (TB) approximation for modeling 3-dimensional PnCs which have topological hinge modes. It is revealed that TB approximation can estimate dispersion relation of 3-dimensional PnCs, forming stacked Kagome lattice, with FEM simulation precisely around K point and H point. Moreover, we show that numbers of degrees of freedom decrease from tens of thousands to three with this approach, which reduce computational time. The parameters of TB model we propose are corresponding with the parameters of FEM simulations, thus this model enable to design topological elastic devices instead of FEM simulation. Finally, we discuss with estimating dispersion relation of supercell and topological invariants.</p>

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