Magnetoelectric polarizability and optical activity: spin and frequency dependence

Abstract

We extend a microscopic theory of polarization and magnetization to include the spin degree of freedom of the electrons, introducing a general spin orbit coupling and Zeeman interaction term in the Hamiltonian. At finite frequencies and including spin, the magnetoelectric polarizability tensor is replaced by two separate tensors, one that relates the polarization \textbf{P} to the magnetic field \textbf{B} and a separate tensor that relates the magnetization \textbf{M} to the electric field \textbf{E}. When combined with other relevant response tensors a third rank tensor that relates the induced current density to gradients in the electric field can be introduced; it is gauge invariant, in a form suitable for numerical calculations, and describes optical activity -- including spin effects -- even in materials that may lack time reversal symmetry.

arXiv comment14+9 pages

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Cited by in corpus (9)

• Multipole theory of optical spatial dispersion in crystals
• Intrinsic Dynamic Generation of Spin Polarization by Time-Varying Electric Field
• Symmetry, topology, and geometry: The many faces of the topological magnetoelectric effect
• Unique properties of the optical activity in noncentrosymmetric superconductors: sum rule, missing area, and relation with the superconducting Edelstein effect
• Microscopic Theory of the Magnetic Susceptibility of Insulators
• Synthetic magnetoelectric response of lattice bosonic insulators
• Resonant Edelstein and inverse-Edelstein effects, charge-to-spin conversion, and spin pumping from chiral-spin modes
• Orbital optical activity in noncentrosymmetric metals and superconductors
• Chern insulators in two and three dimensions: A global perspective