  We investigate the optical properties in a minimal model of spin-orbit
coupled systems on honeycomb lattice at half-filling. The absorption of the
circularly polarized light in the charge and antiferromagnetic ordered states
is particularly studied, and the spin-valley selective excitation depending on
the handedness of the light is found. It is shown that the optical selection
rules plainly differ with the type of broken symmetries and topological
properties of the electronic states. Consequently, the abrupt change of
spin-valley selectivity in the optical absorption occurs at the topological
transition caused by changing the magnitude of the order parameters.
