  We consider theoretically exciton-polaritons in a strip of honeycomb lattice
with zigzag edges and it is shown that the interplay among the spin-orbit
coupling, Zeeman splitting, and an onsite detuning between sublattices can give
rise to a band structure where all the edge states of the system split in
energy. Within an energy interval, one of the spin polarized edge states
resides with the gap-less bulk having opposite spin. Being surrounded by
opposite spin and the absence of the backward propagating edge state ensures
both reflection free and feedback suppressed one-way flow of polaritons with
one particular spin in the system. The edge states in this system are more
localized than those in the standard topological polariton systems and are
fully spin polarized. This paves the way for feedback free spin-selective
polariton channels for transferring information in polariton networks.
