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Spin-orbit coupling introduces chirality into electronic structure. This canhave profound effects on the magnetization induced by orbital motion ofelectrons. Here we derive a formula for the orbital magnetization ofinteracting electrons in terms of the full Green's function and vertexfunctions. The formula is applied within dynamical mean-field theory to theKane-Mele-Hubbard model that allows both topological and trivial insulatingphases. We study the insulating and metallic phases in the presence of anexchange magnetic field. In the presence of interactions, the orbitalmagnetization of the quantum spin Hall insulating phase with inversion symmetryis renormalized by the bulk quasi-particle weight. The orbital magnetizationvanishes for the in-plane antiferromagnetic phase with trivial topology. In themetallic phase, the enhanced effective spin-orbit coupling due to theinteraction sometimes leads to an enhancement of the orbital magnetization.However, at low doping, magnetization is suppressed at large interactionstrengths.

Orbital magnetization of correlated electrons with arbitrary band topology