Nonlinear higher-order polariton topological insulator

Abstract

We address the resonant response and bistability of the exciton-polariton corner states in a higher-order nonlinear topological insulator realized with kagome arrangement of microcavity pillars. Such states are resonantly excited and exist due to the balance between pump and losses, on the one hand, and between nonlinearity and dispersion in inhomogeneous potential landscape, on the other hand, for pump energy around eigen-energies of corresponding linear localized modes. Localization of the nonlinear corner states in a higher-order topological insulator can be efficiently controlled by tuning pump energy. We link the mechanism of corner state formation with symmetry of the truncated kagome array. Corner states coexist with densely packed edge states, but are well-isolated from them in energy. Nonlinear corner states persist even in the presence of perturbations in corner microcavity pillar.

arXiv comment6 pages, 5 figures

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Cited by in corpus (11)

• Classical higher-order topological insulators
• Nonlinear second-order photonic topological insulators
• Observation of nonlinear disclination states
• From the topological spin-Hall effect to the non-Hermitian skin effect in an elliptical micropillar chain
• Optically induced topological spin-valley Hall effect for exciton polaritons
• Nonlinear Corner States in Topologically Nontrivial Kagome Lattice
• Nonlinear quadrupole topological insulators
• Thresholdless corner vortex solitons in fractal Sierpiński topological insulators
• Polariton Topological Insulators with Disclinations
• Nonlinearity-induced corner states in a kagome lattice
• Fractal Polariton Topological Insulator