Quantum Theory of Orbital Magnetization and its Generalization to Interacting Systems

2007/04/30 by Junren Shi, Giovanni Vignale, G. Vignale +2 · 1 voice · 39 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.99.197202

Accepted by Phys. Rev. Lett

arxiv created 2007/09/21 · openalex publication_date 2007/11/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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Discussions

• I am a student currently trying to re-derive the results discussed in this paper ( https://doi.org/10.1103/PhysRevLett.99.197202 ) on deriving an expression for orbital magnetisation using 'standard' [stackexchange, 4 points]

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