Non-linear transport in polariton graphene

Due to its unique electronic and optical properties, graphene is widely used in state-of-the-art technology as well as fundamental material science. Moreover, there are extensive studies of the topological and transport characteristics of artificially created honeycomb lattices. In the present work we consider the exciton-polariton analog of a single-layer graphene, where the spatial inversion symmetry is broken due to embedding of triangle-shaped defects. It leads to asymmetric scattering. Our numerical simulations using the corresponding Gross-Pitaevskii equation show presence of the ratchet motion as a consequence of the scattering on defects. We study various realizations of defect profiles which can be realized experimentally. In addition, results of our numerical calculations are in agreement with analytical predictions.