# Nonlinear gap modes and compactons in a lattice model for spin-orbit coupled exciton-polaritons in zigzag chains

@article{Johansson2019NonlinearGM,
title={Nonlinear gap modes and compactons in a lattice model for spin-orbit coupled exciton-polaritons in zigzag chains},
author={Magnus Johansson and Petra P. Beli{\vc}ev and Goran Gligori'c and Dmitry R Gulevich and Dmitry V. Skryabin},
journal={Journal of Physics Communications},
year={2019}
}
We consider a system of generalized coupled Discrete Nonlinear Schrodinger (DNLS) equations, derived as a tight-binding model from the Gross-Pitaevskii-type equations describing a zigzag chain of weakly coupled condensates of exciton-polaritons with spin-orbit (TE-TM) coupling. We focus on the simplest case when the angles for the links in the zigzag chain are $\pm \pi/4$ with respect to the chain axis, and the basis (Wannier) functions are cylindrically symmetric (zero orbital angular momenta…

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