Lieb polariton topological insulators

Abstract

We predict that the interplay between the spin-orbit coupling, stemming from the TE-TM energy splitting, and the Zeeman effect in semiconductor microcavities supporting exci- ton-polariton quasi-particles results in the appearance of unidirectional linear topological edge states when the top microcavity mirror is patterned to form a truncated dislocated Lieb lattice of cylindrical pillars. Periodic nonlinear edge states are found to emerge from the linear ones. They are strongly localized across the interface and they are remarkably robust in comparison to their counterparts in hexagonal lattices. Such robustness makes possible the existence of nested unidirectional dark solitons that move steadily along the lattice edge.

arXiv comment27 pages, 7 figures, to appear in Phys. Rev. B as a Rapid Communications

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Cited by in corpus (47)

• Nonlinear topological photonics
• Exciton-polariton topological insulator
• Unconventional Flatband Line States in Photonic Lieb Lattices
• Topological edge states and gap solitons in the nonlinear Dirac model
• Coupling between Exciton-Polariton Corner Modes through Edge States
• Optical analogue of Dresselhaus spin-orbit interaction in photonic graphene
• Non-reciprocal transport of Exciton-Polaritons in a non-Hermitian chain
• Nonlinear Topological Valley Hall Edge States Arising from Type-II Dirac Cones
• Vector Topological Edge Solitons in Floquet Insulators
• Topological dipole Floquet solitons
• Effect of photonic spin-orbit coupling on the topological edge modes of a Su-Schrieffer-Heeger chain
• From the topological spin-Hall effect to the non-Hermitian skin effect in an elliptical micropillar chain
• Observation of $\pi$ solitons in oscillating waveguide arrays
• Interaction induced bi-skin effect in an exciton-polariton system
• Exciton-polaritons in flatland: Controlling flatband properties in a Lieb lattice
• Bragg solitons in topological Floquet insulators
• Floquet topological insulator laser
• Interface states in polariton topological insulators
• Dark topological valley Hall edge solitons
• Vortex solitons in topological disclination lattices
• Bloch oscillations of topological edge modes
• Valley Hall edge solitons in a photonic graphene
• Floquet Edge Multicolor Solitons
• Optically induced topological spin-valley Hall effect for exciton polaritons
• Multi-orbital tight binding model for cavity-polariton lattices
• Excitation of localized condensates in the flat band of exciton-polariton Lieb lattice
• Vector valley Hall edge solitons in superhoneycomb lattices
• Asymmetric conical diffraction in dislocated edge-centered square lattices
• Spin-polarized antichiral exciton-polariton edge states
• Type-II Dirac photonic lattices
• Topological edge states of nonequilibrium polaritons in hollow honeycomb arrays
• Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
• Topological edge states in photonic Floquet insulator with unpaired Dirac cones
• Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates
• Floquet topological insulators with hybrid edges
• Polariton gap and gap-stripe solitons in Zeeman lattices
• Weyl points and exceptional rings with polaritons in bulk semiconductors
• Non-Hermitian synthetic lattices with light-matter coupling
• Ring modes supported by concentrated cubic nonlinearity
• Discrete time crystal made of topological edge magnons
• Altermagnetism and its induced higher-order topology on the Lieb lattice
• Microcavity polaritons for topological photonics
• Polariton Topological Insulators with Disclinations
• Partial quantum revivals of localized condensates in distorted lattices
• Edge Solitons in a Nonlinear Mechanical Topological Insulator
• Fractal Polariton Topological Insulator
• Topological edge states in curved zigzag superlattices in nonlinear exciton-polaritons