Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials

Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials

| Alexander B. Khanikaev†, S. Hossein Mousavi, Wang-Kong Tse, Mehdi Kargarian, Allan H. MacDonald, and Gennady Shvets†
This paper presents a photonic analogue of two-dimensional topological insulators and helical one-way edge transport in bi-anisotropic metamaterials. The authors demonstrate that by carefully choosing metamaterial parameters, photonic phases can be created that support a pair of helical edge states, enabling robust one-way photonic transport. The study shows that a photonic meta-crystal, constructed from bi-anisotropic periodic metamaterials, can exhibit a topologically nontrivial photonic quantum spin Hall phase. This phase supports spin-polarized one-way edge states at interfaces between metamaterials with reversed bi-anisotropy and at interfaces between topologically trivial and nontrivial structures. These states are reciprocal and robust against defects and disorder. The system is particularly attractive because it can be implemented without magneto-optical or gyromagnetic materials, which are typically lossy. The results show that the photonic system exhibits a quantized spin Chern number and a Z2 invariant, analogous to the quantum spin Hall effect in electronic systems. The study also demonstrates the robustness of these edge states against various types of defects and disorder, including sharp bends, cavities, and strongly disordered regions. The authors propose an experimental implementation using split-ring resonators and high permittivity slabs to achieve the desired bi-anisotropic metamaterial. The results highlight the potential of photonic systems for engineering topological properties with applications where tolerance to disorder is essential.This paper presents a photonic analogue of two-dimensional topological insulators and helical one-way edge transport in bi-anisotropic metamaterials. The authors demonstrate that by carefully choosing metamaterial parameters, photonic phases can be created that support a pair of helical edge states, enabling robust one-way photonic transport. The study shows that a photonic meta-crystal, constructed from bi-anisotropic periodic metamaterials, can exhibit a topologically nontrivial photonic quantum spin Hall phase. This phase supports spin-polarized one-way edge states at interfaces between metamaterials with reversed bi-anisotropy and at interfaces between topologically trivial and nontrivial structures. These states are reciprocal and robust against defects and disorder. The system is particularly attractive because it can be implemented without magneto-optical or gyromagnetic materials, which are typically lossy. The results show that the photonic system exhibits a quantized spin Chern number and a Z2 invariant, analogous to the quantum spin Hall effect in electronic systems. The study also demonstrates the robustness of these edge states against various types of defects and disorder, including sharp bends, cavities, and strongly disordered regions. The authors propose an experimental implementation using split-ring resonators and high permittivity slabs to achieve the desired bi-anisotropic metamaterial. The results highlight the potential of photonic systems for engineering topological properties with applications where tolerance to disorder is essential.
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[slides and audio] Photonic topological insulators.