Cloaking magnetic field and generating electric field with topological insulator and high permeability material

Topological insulator is a new state of quantum matter. When applied magnetic field is applied on a topological insulator, not only the magnetic field is induced, but also the electric field is induced, vice versa. We designed bi-layer magnetic cloak with topological insulator and high permeability material (HPM), derived the electric field and magnetic field inside and outside the bi-layer topological insulator and HPM. Calculation and simulation results show that the applied magnetic field is cloaked by the bi-layer topological insulator and HPM, and the uniform electric field is induced in the cloaked region.