Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Accepted by Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.99.197202

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.

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