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• W4292371005 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 P to the magnetic field B and a separate tensor that relates the magnetization M to the electric field 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." @default.
• W4292371005 created "2022-08-20" @default.
• W4292371005 creator A5051145105 @default.
• W4292371005 creator A5055379196 @default.
• W4292371005 date "2022-08-19" @default.
• W4292371005 modified "2023-10-17" @default.
• W4292371005 title "Magnetoelectric polarizability and optical activity: Spin and frequency dependence" @default.
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• W4292371005 doi "https://doi.org/10.1103/physrevb.106.085413" @default.
• W4292371005 hasPublicationYear "2022" @default.
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