The inverse Faraday effect (IFE) 1,2,3 phenomenologically describes the static magnetization induced by the circularly polarized light. In experiments, the IFE is able to reverse the magnetization of magnets with strong laser pulse, providing an optical method of ultrafast magnetization manipulation. Recently, sensitive detection of the effective magnetic field induced by a continuous laser can be carried out electrically through the inverse spin Hall effect 4. Here, we study inverse Faraday effect in Dirac Hamiltonian with random impurities using Keldysh formalism and diagrammatic perturbation theory in low frequency regime 5. 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.

References 1 P. Pershan, Physical Review 130, 919 (1963). 2 K. Taguchi, and G. Tatara, Physical Review B 84, 174433 (2011). 3 K. Taguchi, T. Imaeda, M. Sato, and Y. Tanaka, Phys. Rev. B 93, 201202(R) (2016). 4 M. Kawaguchi, H. Hirose, Z. Chi, Y.-C. Lau, F. Freimuth, and M. Hayashi, arXiv preprint arXiv:2009.01388 (2020). 5 G. Qu, and G. Tatara. arXiv preprint arXiv:2201.10155(2022).