Microscopic Theory of Spin Toroidization in Periodic Crystals

Abstract

Using the semiclassical theory of electron dynamics, we derive a gauge-invariant expression for the spin toroidization in a periodical crystal. We show that the spin toroidization is comprised of two contributions: one is due to the configuration of a classical spin array, while the other comes from the coordinate shift of the electron as spin carrier in response to the inhomogeneous magnetic field. We then establish a direct and elengant relation between our spin toroidization and the antisymmetric magnetoelectric polarizability in insulators. Finally, we demonstrate our spin toroidization in a tight-binding model and show that it is a genuine bulk quantity.

References in corpus (5)

• Orbital magnetization in periodic insulators
• Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems
• Towards a microscopic theory of toroidal moments in bulk periodic crystals
• Toroidal order in metals without local inversion symmetry
• Optical Magnetoelectric Effect in Multiferroic Materials: Evidence for a Lorentz Force Acting on a Ray of Light

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