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 (21)

• Spintronics: Fundamentals and applications
• Quantum Computation with Quantum Dots
• Spins in few-electron quantum dots
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Anomalous Hall effect in ferromagnetic semiconductors
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Topological Nature of Anomalous Hall Effect in Ferromagnet
• Relaxation, dephasing, and quantum control of electron spins in double quantum dots
• Theory of Spin Hall conductivity in n-doped GaAs
• Coordinate shift in the semiclassical Boltzmann equation and the anomalous Hall effect
• Intrinsic Spin Hall Edges
• Disorder effects in the AHE induced by Berry curvature
• Anomalous Hall effect in a two-dimensional electron gas with spin-orbit interaction
• Spin Hall Effect
• Spin-orbit coupling and spin transport
• Electric Dipole Induced Spin Resonance in Disordered Semiconductors
• Anomalous Hall Effect in Ferromagnetic Semiconductors in the Hopping Transport Regime
• Boundary conditions for spin diffusion
• Boundary spin Hall effect in a two-dimensional semiconductor system with Rashba spin-orbit coupling
• Anomalous Hall effect in ferromagnetic disordered metals

Cited by in corpus (6)

• Anomalous Hall effect
• Intrinsic Spin and Orbital Hall Effects from Orbital Texture
• Scattering universality classes of side jump in anomalous Hall effect
• Transport theory for disordered multiple-band systems: Anomalous Hall effect and anisotropic magnetoresistance
• Unified Description of the Intrinsic Spin-Hall Effects
• Anomalous spin precession and spin Hall effect in semiconductor quantum wells