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

Abstract

Anomalous Hall effect and spin Hall effect originate due to spin-orbit coupling that in the Kohn-Luttinger $\mathbf{k}\cdot \mathbf{p}$ 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.

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

References in corpus (3)

• Theory of Spin Hall conductivity in n-doped GaAs
• Intrinsic Spin Hall Edges
• Boundary spin Hall effect in a two-dimensional semiconductor system with Rashba spin-orbit coupling

Cited by in corpus (1)

• Transport theory for disordered multiple-band systems: Anomalous Hall effect and anisotropic magnetoresistance