Berry curvature, orbital moment, and effective quantum theory of electrons in electromagnetic fields

Ming Che Chang, Qian Niu

Research output: Contribution to journalArticle

71 Citations (Scopus)

Abstract

Berry curvature and orbital moment of the Bloch state are two basic ingredients, in addition to the band energy, that must be included in the formulation of semiclassical dynamics of electrons in crystals, in order to give proper account of thermodynamic and transport properties to first order in the electromagnetic field. These quantities are gauge invariant and have direct physical significance as demonstrated by numerous applications in recent years. Generalization to the case of degenerate bands has also been achieved recently, with important applications in spin-dependent transport. The reader is assured that a knowledge of these ingredients of the semiclassical dynamics is also sufficient for the construction of an effective quantum theory, valid to the same order of the field, using a new quantization procedure that generalizes the venerable Peierls substitution rule. We cite the relativistic Dirac electron and the carrier in semiconductors as two prime examples to demonstrate our theory and compare with previous work on such systems. We also establish general relations between different levels of effective theories in a hierarchy.

Original languageEnglish
Article number193202
JournalJournal of Physics Condensed Matter
Volume20
Issue number19
DOIs
Publication statusPublished - 2008 May 14

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Quantum Theory
Electromagnetic Fields
Quantum theory
ingredients
quantum theory
Electromagnetic fields
Fruit
electromagnetic fields
curvature
Electrons
moments
orbitals
Semiconductors
readers
Thermodynamics
Band structure
Transport properties
Gages
hierarchies
energy bands

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Berry curvature, orbital moment, and effective quantum theory of electrons in electromagnetic fields. / Chang, Ming Che; Niu, Qian.

In: Journal of Physics Condensed Matter, Vol. 20, No. 19, 193202, 14.05.2008.

Research output: Contribution to journalArticle

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