Symmetry and transport property of spin current induced spin-Hall effect

Abstract

We study the spin current induced spin-Hall effect that a longitudinal spin-dependent chemical potential qVs=x,y,z induces transverse spin conductances Gss. A four-terminal system with the Rashba and Dresselhaus spin-orbit interactions (SOIs) in the scattering region is considered. By using Landauer-Büttiker formula with the aid of Green's function, various spin current induced spin-Hall conductances Gss are calculated. With the charge chemical potential qVc or spin chemical potential qVs=x,y,z, there are 16 elements for the transverse conductances G=Jp,µ/V, where µ,=x,y,z,c. Due to the symmetry of our system, these elements are not independent. For the system with C2 symmetry half of the elements are zero when only the Rashba SOI or the Dresselhaus SOI exists in the center region. The numerical results show that of all the conductance elements, the spin current induced spin-Hall conductances Gss are usually much greater (about one or two orders of magnitude) than the spin-Hall conductances Gsc and the reciprocal spin-Hall conductances Gcs. So the spin current induced spin-Hall effect dominates in the present device.