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

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

2008-04-25

arxiv.org/abs/0804.4181v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1134/S1063782608080046

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

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