Theory of electric polarization in multi-orbital Mott insulators

The interaction between the electric field, E, and spins in multi-orbital Mott insulators is studied theoretically. We find a generic dynamical coupling mechanism, which works for all crystal lattices and which does not involve relativistic effects. The general form of the coupling is -T_ab E_a e_b, where e is the `internal' electric field originating from the dynamical Berry phase of electrons and T_ab is a tensor determined by lattice symmetry. We discuss several effects of this interaction: (i) an unusual electron spin resonance induced by an oscillating electric field, (ii) the displacement of spin textures in an applied electric field, and (iii) the resonant absorption of circularly polarized light by Skyrmions, magnetic bubbles, and magnetic vortices.