24 August 2017 Topological edge states of distorted photonic Kagome lattices
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Abstract
We demonstrate that the distorted Kagome lattice formed by two-dimensional(2d) array of dielectric rods embedded in air exhibits a new class of topological states characterized by a topological invariant number in Pauli vector space. The Kagome lattice can be considered as a 2d analogue of the Su-Schrieffer–Heeger (SSH) model, which displays a phase transition by detuning the relative amplitudes of the inter-cell and intra-cell hopping terms. The phase transition is accompanied by the opening of a complete band gap in the Brillouin zone, which may host topological edge states on either the truncated end of the lattice or at the domain walls between topological nontrivial and trivial domains. To further reveal the connection between the bulk invariance and edge states, polarizations of shrunken and expanded effects are calculated. Our first-principles simulations based on finite element method (FEM) are used to design the lattice and confirm the analytic prediction.
Conference Presentation
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Xiang Ni, Andrea Alu, Alexander B. Khanikaev, "Topological edge states of distorted photonic Kagome lattices", Proc. SPIE 10345, Active Photonic Platforms IX, 103451N (24 August 2017); doi: 10.1117/12.2273938; https://doi.org/10.1117/12.2273938
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