Derivation of one-particle semiclassical kinetic theory in the presence of non-Abelian Berry curvature

Eldad Bettelheim*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In quantum mechanics it is often required to describe in a semiclassical approximation the motion of particles moving within a given energy band. Such a representation leads to the appearance of an analogues of fictitious forces, associated with the Berry curvature, in the semiclassical equations of motion. The purpose of this paper is to derive systematically the kinetic Boltzmann equations displaying these effects in the case that the band is degenerate, and as such the Berry curvature is generically non-Abelian. We use the formalism of phase-space quantum mechanics to derive the results.

Original languageAmerican English
Article number415303
JournalJournal of Physics A: Mathematical and Theoretical
Volume50
Issue number41
DOIs
StatePublished - 15 Sep 2017

Bibliographical note

Publisher Copyright:
© 2017 IOP Publishing Ltd.

Keywords

  • Anomalous velocity
  • Berry curvature
  • Berry phase
  • Boltzmann equation
  • Wigner transform
  • kinetic equation
  • semiclassics

Fingerprint

Dive into the research topics of 'Derivation of one-particle semiclassical kinetic theory in the presence of non-Abelian Berry curvature'. Together they form a unique fingerprint.

Cite this