| Alexander B. Khanikaev†, S. Hossein Mousavi, Wang-Kong Tse, Mehdi Kargarian, Allan H. MacDonald, and Gennady Shvets†
The article explores the photonic analogue of two-dimensional topological insulators and the realization of helical one-way edge transport in bi-anisotropic metamaterials. The authors demonstrate that by carefully designing the metamaterial parameters, a photonic phase can support a pair of helical edge states, enabling robust one-way photonic transport against disorder. They achieve this by creating a coupling between photon polarization states and photon momentum, effectively mimicking spin-orbit coupling in electronic systems. The proposed photonic meta-crystal structure, with a hexagonal lattice of ε/μ-matched rods, exhibits a topologically nontrivial phase characterized by a quantized spin Chern number and a $Z_2$ invariant. The existence and robustness of these edge states are confirmed through numerical simulations, showing that they are insensitive to various types of defects and disorder. The article also discusses the experimental implementation of the proposed structure using split-ring resonators and high permittivity slabs, highlighting the potential for practical applications in topological photonic devices.The article explores the photonic analogue of two-dimensional topological insulators and the realization of helical one-way edge transport in bi-anisotropic metamaterials. The authors demonstrate that by carefully designing the metamaterial parameters, a photonic phase can support a pair of helical edge states, enabling robust one-way photonic transport against disorder. They achieve this by creating a coupling between photon polarization states and photon momentum, effectively mimicking spin-orbit coupling in electronic systems. The proposed photonic meta-crystal structure, with a hexagonal lattice of ε/μ-matched rods, exhibits a topologically nontrivial phase characterized by a quantized spin Chern number and a $Z_2$ invariant. The existence and robustness of these edge states are confirmed through numerical simulations, showing that they are insensitive to various types of defects and disorder. The article also discusses the experimental implementation of the proposed structure using split-ring resonators and high permittivity slabs, highlighting the potential for practical applications in topological photonic devices.