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We examined the chirality dependent optical selection rules intwo-dimensional monolayer materials with the honeycomb lattice, and based onsymmetry argument, we generalized these rules to multi-photon transitions ofarbitrary orders. We also presented the phase relations between incident andoutgoing photons in such processes. The results agreed nicely with ourexperimental observations of second and third harmonic generations. Inparticular, we demonstrated that the phase relation of chiral second harmonicgeneration can serve as a handy tool for imaging domains and domain boundariesof these monolayers. Our results can benefit future studies on chiralityrelated optical phenomena and opto-electronic applications of such materials.

Chiral selection rules for multi-photon processes in two-dimensional honeycomb materials