Absence of induced magnetic monopoles in Maxwellian magnetoelectrics

The electromagnetic response of topological insulators is governed by axion electrodynamics, which features a magnetoelectric term in the Maxwell equations. As consequence magnetic fields become source electric and vice-versa, phenomenon that general for any material exhibiting linear effect. Axion electrodynamics has been associated with possibility to create monopoles, particular an electrical charge screened above surface material. Here we explicitly solve this geometry show while vortex-like screening are generated their divergence identically zero at every point space implies absence induced monopoles. Nevertheless image charges can be made explicit problem even if no bound state yielding dyon arises, dyon-like angular momentum follows from our analysis. Because its dependence on dielectric constant not quantized, consistent argument precludes monopoles magnetoelectrics. We also topologically protected modes Dirac equation charge. Since defect TI carries as result term, these self-conjugated.