Two-magnon Raman scattering in antiferromagnetic phases of frustrated spin models on the honeycomb lattice

We calculate the two-magnon Raman scattering spectra in antiferromagnetic phases of several frustrated spin models defined on the honeycomb lattice. These include the N'{e}el antiferromagnetic phase of a $J_1$-$J_2$-$J_3$ model and the stripe phase of the Heisenberg-Kitaev model. We show that both the magnetic frustration and the anisotropy of interactions may significantly affect the Raman spectra. We further discuss the implications of our results to the magnetic excitations of the iron-based compound BaFe${}_2$Se${}_2$O and show how the magnetic interactions can be extracted from fit to the Raman spectrum.