Interface states in polariton topological insulators

Abstract

We address linear and nonlinear topological interface states in polariton condensates excited at the interface of the honeycomb and Lieb arrays of microcavity pillars in the presence of spin-orbit coupling and Zeeman splitting in the external magnetic field. Such interface states appear only in total energy gaps of the composite structure when parameters of the honeycomb and Lieb arrays are selected such that some topological gaps in the spectrum of one of the arrays overlap with topological or nontopological gaps in the spectrum of the other array. This is in contrast to conventional edge states at the interface of periodic topological and uniform trivial insulators, whose behavior is determined exclusively by the spectrum of the topological medium. The number of emerging interface states is determined by the difference of the Chern numbers of the overlapping gaps. Illustrative examples with one or two coexisting unidirectional interface states are provided. The representative feature of the system is the possibility of wide tuning of the concentration of power of the interface states between two limiting cases when practically all power is concentrated either in the Lieb or the honeycomb array. Localization of the interface states and their penetration depth into arrays drastically vary with Bloch momentum or upon modification of the amplitude of the interface state in the nonlinear regime. We illustrate topological protection of the interface states manifested in the absence of backscattering on interface defects, and study their modulation instability in the nonlinear regime. The latter leads to formation of quasisolitons whose penetration into different arrays also depends on Bloch momentum. In addition, we discuss the impact of losses and coherent pump leading to bistability of the interface states.

arXiv comment9 pages, 8 figures, 60 references

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Cited by in corpus (14)

• Nonlinear Topological Valley Hall Edge States Arising from Type-II Dirac Cones
• Observation of nonlinear disclination states
• Exciton-polaritons in flatland: Controlling flatband properties in a Lieb lattice
• Dark topological valley Hall edge solitons
• Valley Hall edge solitons in a photonic graphene
• Optically induced topological spin-valley Hall effect for exciton polaritons
• Vector valley Hall edge solitons in superhoneycomb lattices
• Topological edge states in photonic Floquet insulator with unpaired Dirac cones
• Floquet topological insulators with hybrid edges
• Discrete time crystal made of topological edge magnons
• Self-steepening-induced stabilization of nonlinear edge waves at photonic valley-Hall interfaces
• Polariton Topological Insulators with Disclinations
• Microcavity polaritons for topological photonics
• Topological edge states in curved zigzag superlattices in nonlinear exciton-polaritons