We theoretically predict a generation of a current in Weyl semimetals by applying circularly polarized light. The electric field of the light can drive an effective magnetic field of order of ten Tesla. For lower frequency light, a non-equilibrium spin distribution is formed near the Fermi surface. Due to the spin-momentum locking, a giant electric current proportional to the effective magnetic field is induced. On the other hand, higher frequency light realizes a quasi-static Floquet state with no induced electric current. We discuss relevant materials and estimate order of magnitude of the induced current.

We investigate the instability due to dynamical axion field near the topological phase transition of insulators. We first point out that the amplitude of dynamical axion field is bounded for magnetic insulators in general, which suppresses the axion instability. Near the topological phase transition, however, the axion field may have a large fluctuation, which decreases the critical electric field for the instability and increases the axion induced magnetic flux density. Using two different model Hamiltonians, we report the electromagnetic response of the axion field in details.

We studied the dynamics of the so-called θ-term, which exists in topological materials and is related to a hypothetical field predicted by Peccei-Quinn in particle physics, in a magnetic superlattice constructed using a topological insulator and two ferromagnetic insulators, where the ferromagnetic insulators had perpendicular magnetic anisotropies and different magnetic coercive fields. We examined a way to drive the dynamics of the θ-term in the magnetic superlattice through changing the inversion symmetry (from an anti-parallel to a parallel magnetic configuration) using an external magnetic field. As a result, we found that unconventional electromagnetic fields, which are magnetic field-induced charge currents and vice versa, are generated by the nonzero dynamics of the θ-term.