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

References in corpus (7)

• The electronic properties of graphene
• Orbital magnetization in periodic insulators
• Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems
• Correlation effects in two-dimensional topological insulators
• Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
• Magnetism and spin-orbit coupling in Ir-based double perovskites La${}_{(}2-x$Sr${}_x$CoIrO${}_6$
• Hall Coefficient in an Interacting Electron Gas

Cited by in corpus (7)

• Orbital magnetism of coupled bands models
• Anomalous thermospin effect in the low-buckled Dirac materials
• Dynamical correlation enhanced orbital magnetization in VI${}_3$
• Intrinsic torque on the orbital angular momentum in an electric field
• Numerical Study of Disorder on the Orbital Magnetization in Two Dimensions
• Orbital Magnetization and Streda Formula of Interacting Electrons in the Mean-field Approximation
• Orbital magnetization and magnetic susceptibility of interacting electrons