Spin current evolution in the separated spin-up and spin-down quantum hydrodynamics

Abstract

We have developed the quantum hydrodynamic model that describes particles with spin-up and with spin-down in separate. We have derived the equation of the spin current evolution as a part of the set of the quantum hydrodynamics (QHD) equations that treat particles with different projection of spin on the preferable direction as two different species. We have studied orthogonal propagation of waves in the external magnetic field and determined the contribution of quantum corrections due to the Bohm potential and to magnetization energy of particles with different projections of spin in the spin current wave dispersion. We have analyzed the limits of weak and strong magnetic fields.

References in corpus (7)

• Direct electronic measurement of the spin Hall effect
• Dynamics of spin 1/2 quantum plasmas
• On A Proper Definition of Spin Current
• Spin magnetohydrodynamics
• Thermoelectric Effects in Magnetic Nanostructures
• Persistent spin current in nano-devices and definition of the spin current
• Separated spin-up and spin-down quantum hydrodynamics of degenerated electrons: spin-electron acoustic wave appearance

Cited by in corpus (4)

• On the rich eight branch spectrum of the oblique propagating longitudinal waves in partially spin polarized electron-positron-ion plasmas
• Surface spin-electron acoustic waves in magnetically ordered metals
• Spin-electron-acoustic waves and solitons in high-density degenerate relativistic plasmas
• The geometro-hydrodynamical formalism of quantum spinning particle