Theory of spin Hall effect

Abstract

An extension of Drude model is proposed that accounts for spin and spin-orbit interaction of charge carriers. Spin currents appear due to combined action of the external electric field, crystal field and scattering of charge carriers. The expression for spin Hall conductivity is derived for metals and semiconductors that is independent of the scattering mechanism. In cubic metals, spin Hall conductivity ${\sigma }_s$ and charge conductivity ${\sigma }_c$ are related through ${\sigma }_s=[2\pi \hslash /(3m{c}^2)]{\sigma }_c^2$ with $m$ being the bare electron mass. Theoretically computed value is in agreement with experiment.

4 pages, 0 figures, minor extension and corrections of version 1

References in corpus (8)

• Spintronics: Fundamentals and applications
• Spin Hall effect
• Direct electronic measurement of the spin Hall effect
• Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
• Theory of Spin Hall conductivity in n-doped GaAs
• Current-Induced Polarization and the Spin Hall Effect at Room Temperature
• Spin Hall Effect in Doped Semiconductor Structures
• Overlooked Contribution to the Hall Effect in Ferromagnetic Metals

Cited by in corpus (33)

• Semiclassical theories of the anomalous Hall effect
• Magnon contribution to unidirectional spin Hall magnetoresistance
• Intrinsic spin Hall effect in noncubic crystals
• Spin Hall effect on a noncommutative space
• Inertial spin Hall effect in noncommutative space
• Deformations of the spin currents by topological screw dislocation and cosmic dispiration
• Inertial effect on spin orbit coupling and spin transport
• Spinmotive force with static and uniform magnetization induced by a time-varying electric field
• Spin Hall Effect in Noncommutative Coordinates
• Effect of cosmic string on spin dynamics
• Influences of Topological Defect on Spin Hall Effect
• Comment on "Theory of Spin Hall Effect: Extension of the Drude Model"
• Stabilization of the skyrmion crystal phase in thin-film antiferromagnets
• Origin of Spin Hall Effect (Reply to Comment)
• Spin Transport in non-inertial frame
• Charge and spin Hall effect in spin chiral ferromagnetic graphene
• Spin force and intrinsic spin Hall effect in spintronics systems
• Nonlinear optics driven magnetism reorientation in semiconductors
• Thermal Equilibration and Thermally-Induced Spin Currents in a Thin-Film Ferromagnet on a Substrate
• Influences of the coordinate dependent noncommutative space on charged and spin currents
• Dynamical precession of spin in the two-dimensional spin-orbit coupled systems
• Thermally Assisted Spin Hall Effect
• Hall conductivity in the presence of spin-orbit interaction and disorder
• Spin Hall effect associated with SU(2) gauge field
• Understanding spin Hall effect in two-dimensional fermionic systems with generic spin-orbit interaction
• Kane model parameters and stochastic spin current
• 2D skew scattering in the vicinity and away from resonant scattering condition
• Newton's second law in spin-orbit torque
• On the Role of a Torsion-like Field in a Scenario for the Spin Hall Effect
• Exact expression for Drude conductivity in one-dimension with an arbitrary potential
• Spintronics: Maxwell-Dirac theory, charge and spin
• Consequences of the thermal dependence of spin orbit coupling in semiconductors
• Zitterbewegung, momentum and spin dynamics of electromagnetic waves in linear dielectric medium