Spin-orbit coupling and optical spin Hall effect in photonic graphene

Abstract

We study the spin-orbit coupling induced by the splitting between TE and TM optical modes in a photonic honeycomb lattice. Using a tight-binding approach, we calculate analytically the band structure. Close to the Dirac point,we derive an effective Hamiltonian. We find that the local reduced symmetry (${\mathrm{D}}_{3h}$) transforms the TE-TM effective magnetic field into an emergent field with a Dresselhaus symmetry. As a result, particles become massive, but no gap opens. The emergent field symmetry is revealed by the optical spin Hall effect.

5 pages, 3 figures

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• Polariton gap and gap-stripe solitons in Zeeman lattices
• Mimicking graphene with polaritonic spin vortices
• The effects of dissipation on topological mechanical systems
• Nontrivial band geometry in an optically active system
• Microcavity polaritons for topological photonics
• A bandmixing treatment for multiband-coupled systems via nonlinear-eigenvalue scenario
• Spin-orbit coupling in photonic graphene