English

Side jump contribution to spin-orbit mediated Hall effects and Berry curvature

Mesoscale and Nanoscale Physics 2009-11-13 v1

Abstract

Anomalous Hall effect and spin Hall effect originate due to spin-orbit coupling that in the Kohn-Luttinger kp{\bf k}\cdot{\bf p} formalism is represented by anomalous terms in the coordinate and velocity operators. Relation of these operators to the Berry curvature in the momentum space is presented for electrons in GaAs type semiconductors. For centrosymmetric semiconductors, transformational properties of Berry curvature are discussed.

Keywords

Cite

@article{arxiv.0804.4181,
  title  = {Side jump contribution to spin-orbit mediated Hall effects and Berry curvature},
  author = {Emmanuel I. Rashba},
  journal= {arXiv preprint arXiv:0804.4181},
  year   = {2009}
}

Comments

4 pages. Accepted for a special issue of Fiz. Tech. Semicond. (Semiconductors, StPetersburg) dedicated to Vladimir I. Perel

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