The Inverse Faraday effect in the massive Dirac electrons

We study the inverse Faraday effect (IFE) in Dirac Hamiltonian with random impurities using the Keldysh formalism and diagrammatic perturbation theory. The mass term in Dirac Hamiltonian is essential for the IFE, where the spin magnetic moment induced by circularly polarized light is proportional to frequency of the incident light within THz regime. For massive Dirac electrons, the corrections due to the short-range impurities on spin magnetic moment vertex exhibits mixing of spin magnetic moment vertex and spin angular momentum vertex. The spin magnetic density response is divergently enhanced by the vertex corrections near the band edge.Comment: 4 pages;2 figure