Magnetoelectric Polarizability and Axion Electrodynamics in Crystalline Insulators
Essin, Andrew M.;Moore, Joel E.;Vanderbilt, David;Essin, Andrew M.;Moore, Joel E.;Vanderbilt, David;
PhRvL1970Vol. 102pp. 146805-
151
m.1970phrvlmagnetoelectric
Abstract
The orbital motion of electrons in a three-dimensional solid can generate a pseudoscalar magnetoelectric coupling θ, a fact we derive for the single-particle case using a recent theory of polarization in weakly inhomogeneous materials. This polarizability θ is the same parameter that appears in the âaxion electrodynamicsâ Lagrangian âLEM=(θe2/2Ïh)E·B, which is known to describe the unusual magnetoelectric properties of the three-dimensional topological insulator (θ=Ï). We compute θ for a simple model that accesses the topological insulator and discuss its connection to the surface Hall conductivity. The orbital magnetoelectric polarizability can be generalized to the many-particle wave function and defines the 3D topological insulator, like the integer quantum Hall effect, in terms of a topological ground-state response function.