ФТП, 2008, том 42, выпуск 8

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

E.I.Rashba\kern1pt

Department of Physics and Center for Nanoscale Systems,
Harvard University, Cambridge, Massachusetts 02138, USA
and Department of Physics, Loughborough University,
Leicestershire LE11 3TU, UK

(Получена 6 февраля 2008 г. Принята к печати 11 февраля 2008 г.)

Anomalous Hall effect and spin Hall effect originate due to spin-orbit coupling that in the Kohn-Luttinger k· 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.

PACS: 71.70.Ej, 72.10.Fk, 72.15.Gd, 72.25.-b

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