Static Magnetization Induced by Motion of Dirac Nodes

We evaluate a static magnetization generated by dynamically driving nodal points in two-dimensional Dirac materials. The magnetization ∝ δK ×δK* originates from the transfer of angular momentum of the driving forces that move Dirac nodes K + δK in the Brillouin zone to the magnetic moment of electrons. Unlike semiclassical approximations, our microscopic calculation derives the induced magnetization through the non-linear corrections to the Green's function for electrons in the absence of applied magnetic fields. The generation of static magnetization by the motion of Dirac nodes illustrates an example from the emergent field of dynamical topological phenomena. The effect might find practical applications in the ultrafast manipulation of magnetization in quantum materials.