Inducing magneto-electric response in topological insulator

Utilizing electric potential and magnetic scalar potential formulas, which contain zero-order Bessel functions of the first kind and the constitutive relations of topological insulators, we obtained the induced magnetic scalar potentials and induced magnetic monopole charges which are induced by a point charge in topological insulators. The results show that infinite image magnetic monopole charges are generated by a point electric charge. The magnitude of the induced magnetic monopole charges are determined not only by the point electric charge, but also by the material parameters.

► Electric potential and magnetic scalar potential which contain zero-order Bessel function of the first kind were derived.
► Boundary conditions of topological insulator were built.
► Induced monopole charges were worked out.