Kagome Lattice from Exciton-Polariton Prospective

D. R. Gulevich, D. Yudin, I. V. Iorsh, I. A. Shelykh

Published 2016-06-22Version 1

We study a system of microcavity pillars arranged into kagome lattice. We show that polarization-dependent tunnel coupling of microcavity pillars leads to the emergence of the effective spin-orbit interaction consisting of the Dresselhaus and Rashba terms, similar to the case of polaritonic graphene studied earlier. Appearance of the effective spin-orbit interaction combined with the time-reversal symmetry-breaking resulting from the application of the magnetic field leads to the nontrivial topological properties of the Bloch bundles of polaritonic wavefunction. These are manifested in opening of the gap in the band structure and topological edge states localized on the boundary. Such states are analogs of the edge states arising in topological insulators and therefore present one more example of polaritonic system serving as analogue quantum simulator of condensed matter phases. Our study of polarization properties of the edge states clearly demonstrate that opening of the gap is associated with the band inversion in the region of the Dirac points of the Brillouin zone where the two bands corresponding to polaritons of opposite polarization meet. For one particular type of boundary we observe a non-monotonous energy dispersion of the edge state which allows existence of the additional pair of edge states in a certain interval of energies inside the gap.