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Phys. Rev. Lett. 99, 197202 (2007) [4 pages]

Quantum Theory of Orbital Magnetization and Its Generalization to Interacting Systems

Junren Shi,1 G. Vignale,2 Di Xiao,3 and Qian Niu3
1Institute of Physics and ICQS, Chinese Academy of Sciences, Beijing 100080, China
2Department of Physics, University of Missouri, Columbia, Missouri 65211, USA
3Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA

Received 28 April 2007; published 9 November 2007

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.

©2007 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.99.197202
DOI: 10.1103/PhysRevLett.99.197202
PACS: 75.10.Lp; 73.20.At
  • 75.10.Lp
    Band and itinerant models (magnetism)
  • 73.20.At
    Surface states, band structure, electron density of states
  • YEAR: 2007

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