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.
Xiang Ni, Andrea Alu, and Alexander B. Khanikaev, "Topological edge states of distorted photonic Kagome lattices," Proc. SPIE 10345, Active Photonic Platforms IX, 103451N (Presented at SPIE Nanoscience + Engineering: August 09, 2017; Published: 24 August 2017); https://doi.org/10.1117/12.2273938.
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