Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems

Abstract

Based on standard perturbation theory, we present a full quantum derivation of the formula for the orbital magnetization in periodic systems. The derivation is generally valid for insulators with or without a Chern number, for metals at zero or finite temperatures, and at weak as well as strong magnetic fields. The formula is shown to be valid in the presence of electron-electron interaction, provided the one-electron energies and wave functions are calculated self-consistently within the framework of the exact current and spin density functional theory.

Accepted by Phys. Rev. Lett

References in corpus (10)

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• Berry phase effect in anomalous thermoelectric transport
• Berry phase correction to electron density of states in solids
• Orbital magnetization in periodic insulators
• Orbital magnetization in crystalline solids: Multi-band insulators, Chern insulators, and metals
• Berry phase, hyperorbits, and the Hofstadter spectrum
• Magnetic susceptibility of insulators from first principles
• Semiclassical analysis and the magnetization of the Hofstadter model
• Exact-Exchange Spin-Current Density-Functional Theory
• Optimized Effective Potential Method in Current-Spin Density Functional Theory

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