Abstract
In this paper, a hybrid topological material with hexagonal lattice arrangement is proposed, consisting of six metal cylindrical resonators and a dielectric slab. As a unit cell, the six metal cylindrical resonators satisfying the C6 symmetry are selected, and the cylindrical resonators are inserted in the dielectric slab. It is demonstrated that a double Dirac cone is created at the point in the proposed topological material. Since the topological effects of the proposed system can be realized merely by varying the geometric parameters of the unit cell, two band gaps with different topological characteristics can be easily achieved. It is further demonstrated that the topologically protected edge states can be obtained by connecting the two types of lattices with different topological characteristics. Finally, we implement a sharp bend waveguide by using these two types of the topological lattices. It is demonstrated that electromagnetic waves can propagate robustly along the sharp bend interface.
Highlights
Topological insulator is a kind of new phase of matter state about electron conductivity proposed by condensed-matter physicists
Different from the dielectric-based topological materials or metal-based topological materials presented in the previous references, in this paper, we propose a hybrid topological model consisting of metal and dielectric materials
We present a design scheme for a topological material, consisting of six metal cylindrical resonators and a dielectric slab
Summary
Topological insulator is a kind of new phase of matter state about electron conductivity proposed by condensed-matter physicists. The edge state of the topological insulators is stable, and the motion direction of conducting electrons with different spins is opposite. The topologically protected edge states can be realized by combining two types of lattices with different topological characteristics in the proposed system. As R is expanded, the double Dirac cone can be opened and a band inversion occurs with the topological phase transition These results the topologically non-trivial and trivial lattices both for A and B. There are two different pseudo-spin modes at the interface of topologically non-trivial and trivial lattices at the same frequency. It can be seen that this non-trivial edge state transmission is robust
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