Suchergebnisse

We theoretically introduce a type of topological dipole soliton propagating in a Floquet topological insulator based on a kagome array of helical waveguides. Such solitons bifurcate from two edge states belonging to different topological gaps and have bright envelopes of different symmetries: fundamental for one component, and dipole for the other. The formation of dipole solitons is enabled by unique spectral features of the kagome array which allow the simultaneous coexistence of two topological edge states from different gaps at the same boundary. Notably, these states have equal and nearly vanishing group velocities as well as the same sign of the effective dispersion coefficients. We derive envelope equations describing the components of dipole solitons and demonstrate in full continuous simulations that such states indeed can survive over hundreds of helix periods without any noticeable radiation into the bulk. ; Y.V.K. and S.K.I. acknowledge funding of this study by RFBR and DFG according to Research Project No. 18- 502-12080. A.S. acknowledges funding from the Deutsche Forschungsgemeinschaft (Grants No. BL 574/13-1, No. SZ 276/19-1, and No. SZ 276/20-1). Y.V.K. and L.T. acknowledge support from the Government of Spain (Severo Ochoa CEX2019-000910-S), Fundació Cellex, Fundació Mir-Puig, Generalitat de Catalunya (CERCA). V.V.K. acknowledges financial support from the Portuguese Foundation for Science and Technology (FCT) under Contract No. UIDB/00618/2020. ; Peer Reviewed ; Postprint (author's final draft)