Consistency in Formulation of Spin Current and Torque Associated with a Variance of Angular Momentum

Abstract

Stimulated generally by recent interest in the novel spin Hall effect, the nonrelativistic quantum mechanical conserved currents, taken into account of spin-orbit coupling, are rigorously formulated based on the symmetries of system and Noether' theorem. The quantum mechanical force on the spin as well as the torque associated with the variance of angular momentum are obtained. Consequently, the kinetic interpretation of the variances of spin and orbit angular momentum currents implies a torque on the "electric dipole" associated with the moving spin. The bearing of the force and the torque on the properties of spin current in a two-dimensional electron gas with the Rashba spin-orbit interaction is discussed.

4 pages, no figure

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• Dynamical precession of spin in the two-dimensional spin-orbit coupled systems
• Spin Hall effect associated with SU(2) gauge field
• Conserved spin Hall conductance in two dimensional electron gas in a perpendicular magnetic field
• Vacuum fluctuations and the spin current in mesoscopic structures with collinear magnetic order
• Magnus spin Hall and spin Nernst effects in gapped 2D Rashba systems
• The electron-phonon interaction from fundamental local gauge symmetries in solids
• Steady-state spin densities and currents
• Spin-polarized current, spin-transfer torque and spin Hall effect in presence of an electromagnetic non-minimal coupling
• Intrinsic Spin Hall Effect with Spin-Tensor-Momentum Coupling
• Dirac bilinears in condensed matter physics: Relativistic correction for observables and conjugate electromagnetic fields
• Spin transverse force and quantum transverse transport
• Some exact identities connecting one- and two-particle Green's functions in spin-orbit coupling systems
• Master equations governing the coupling between spin-currents and gravity
• Intrinsic spin currents in bulk noncentrosymmetric ferromagnets