Raman tensor for two-dimensional massive Dirac fermions

Raman spectroscopy is a valuable characterization tool for two dimensional (2D) materials. Although some of these materials are topological, the Raman signatures of electronic band topology have remained largely unexplored. On a theoretical study of 2D massive Dirac fermions, we report a selection rule and a peculiar phase difference between the Raman tensor elements, which are sensitive to the sign of the Dirac mass. We discuss on the applicability of our results to Chern insulators and to magnetized monolayers of transition metal dichalcogenides.