Abstract
It is proposed that the dynamical picture of the spin Hall effect can be explained as the generation of the spin vorticity by the applied electric field on the basis of the “quantum spin vorticity theory”, which describes the equation of motion of local spin and the vorticity of spin in the framework of quantum field theory. Similarly, it is proposed that the dynamical picture of the inverse spin Hall effect can be explained as the acceleration of the electron by the rotation of the spin torque density as driving force accompanying the generation of the spin vorticity. These explanations may help us to understand spin phenomena in condensed matter and molecular systems from a unified viewpoint.
Highlights
The spin Hall effect (SHE), which refers to a conversion of an electric current into a transverse flow of spin, is one of the most important phenomena in the field of spintronics
It is proposed that the dynamical picture of the spin Hall effect can be explained as the generation of the spin vorticity by the applied electric field on the basis of the “quantum spin vorticity theory”, which describes the equation of motion of local spin and the vorticity of spin in the framework of quantum field theory
It is proposed that the dynamical picture of the inverse spin Hall effect can be explained as the acceleration of the electron by the rotation of the spin torque density as driving force accompanying the generation of the spin vorticity
Summary
The spin Hall effect (SHE), which refers to a conversion of an electric current into a transverse flow of spin, is one of the most important phenomena in the field of spintronics. After we explain the local physical quantities, which are defined in quantum field theory, we show numerical calculation results of the local physical quantities in a simple carbon chain under a bias voltage as a demonstration. For these calculations of the local physical quantities defined by quantum field theory, we use a quantum mechanical wave packet by the non-equilibrium Green’s function method as an approximation to a quantum field theoretical one. We show the SHE and ISHE can be explained by a local dynamical picture without introducing the spin current but with the spin vorticity
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