Orbital magnetization of correlated electrons with arbitrary band topology

Abstract

Spin-orbit coupling introduces chirality into electronic structure. This can have profound effects on the magnetization induced by orbital motion of electrons. Here we derive a formula for the orbital magnetization of interacting electrons in terms of the full Green's function and vertex functions. The formula is applied within dynamical mean-field theory to the Kane-Mele-Hubbard model that allows both topological and trivial insulating phases. We study the insulating and metallic phases in the presence of an exchange magnetic field. In the presence of interactions, the orbital magnetization of the quantum spin Hall insulating phase with inversion symmetry is renormalized by the bulk quasi-particle weight. The orbital magnetization vanishes for the in-plane antiferromagnetic phase with trivial topology. In the metallic phase, the enhanced effective spin-orbit coupling due to the interaction sometimes leads to an enhancement of the orbital magnetization. However, at low doping, magnetization is suppressed at large interaction strengths.

arXiv commentarXiv admin note: text overlap with arXiv:1211.1774 by other authors

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• Microscopic polarization and magnetization fields in extended systems
• Hall and Faraday effects in interacting multi-band systems with arbitrary band topology and spin-orbit coupling
• Orbital magnetization and anomalous Hall effect in interacting Weyl semimetals
• Dynamical correlation enhanced orbital magnetization in VI${}_3$
• Intrinsic torque on the orbital angular momentum in an electric field
• Anomalous Thermal Hall Effect in a Disordered Weyl Ferromagnet
• Green function theory of orbital magnetic moment of interacting electrons in solids
• Correlation Effects in Orbital Magnetism
• Interaction and temperature effects on the magneto-optical conductivity of Weyl liquids
• Numerical Study of Disorder on the Orbital Magnetization in Two Dimensions
• Orbital Magnetization and Streda Formula of Interacting Electrons in the Mean-field Approximation
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