Understanding spin transport from the motion in SU(2)$\times$U(1) fields

Abstract

Starting from a continuum constituted by charged tops, we formulate the classical counterpart of a previously obtained covariant continuity-like equation for the spin current. Such a formulism provides an intuitive picture to elucidate the non-conservation of the spin current and to interpret the condition for the emergence of an infinite spin relaxation time. It also facilitates the discussion on the spin precession in a one-dimensional quantum wire with Dresselhaus and Rashba spin-orbit couplings. Furthermore, we derive the diffusion equations for both the charge and spin densities and find that they couple to each other due to the Zitterbewegung.

6 pages, 4 figures; this is the extended version of Xiv:cond-mat/0608303 to publish in PRB

References in corpus (22)

• Spintronics: Fundamentals and applications
• Spin Hall effect
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Direct electronic measurement of the spin Hall effect
• Experimental observation of the spin-Hall effect in a two dimensional spin-orbit coupled semiconductor system
• An Exact SU(2) Symmetry and Persistent Spin Helix in a Spin-Orbit Coupled System
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Current induced electron spin polarization in strained semiconductors
• On A Proper Definition of Spin Current
• SU(2) Non-Abelian Holonomy and Dissipationless Spin Current in Semiconductors
• Theory of Spin-Charge Coupled Transport in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interactions
• Zitterbewegung of electronic wave packets in semiconductor nanostructures
• Generating Spin Currents in Semiconductors with the Spin Hall Effect
• SU(2)xU(1) unified theory for charge, orbit and spin currents
• Transport equations for a two-dimensional electron gas with spin-orbit interaction
• Intrinsic Spin Hall Edges
• Kinematics and hydrodynamics of spinning particles
• Persistent spin helix in Rashba-Dresselhaus two-dimensional electron systems
• Quantum World-line Monte Carlo Method with Non-binary Loops and Its Application
• Consistency in Formulation of Spin Current and Torque Associated with a Variance of Angular Momentum
• Generalized Kubo formula for spin transport: A theory of linear response to non-Abelian fields

Cited by in corpus (4)

• Spin-selective localization due to intrinsic spin-orbit coupling
• Gauge Covariance and Spin Current Conservation in the Gauge Field Formulation of Systems with Spin-Orbit Coupling
• Spin force and intrinsic spin Hall effect in spintronics systems
• Tunneling spin current and spin diode behavior in bilayer system