Abstract

Topological insulation is recently discovered phenomenon encountered in various areas of physics, such as condensed matter, matter waves, and optics [1]. Linear topological edge states were found in honeycomb arrays of helical waveguides [2] and polariton microcavities with honeycomb lattice [3]. The latter system is especially attractive for realization of topological insulators, since its energy bands are affected by the external magnetic fields and sufficiently strong spin-orbit coupling originating in the cavity induced TE-TM energy splitting, while polaritons in microcavities demonstrate very strong nonlinear interactions through their excitonic component. In this presentation we address interacting polaritons in truncated graphene/honeycomb potentials and show that this system admits nonlinear edge states and topological quasi-solitons propagating along the surface of the lattice over considerable distances [4].

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