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The spin-Hall effect in the two-dimensional electron gas (2DEG) generates symmetric out-of-plane spin Sz accumulation about the current axis in the absence of external magnetic field. Here we employ the real space Landauer-Keldysh formalism [B. K. Nikolic et al., Phys. Rev. Lett. 95, 046601 (2005); Phys. Rev. B 73, 075303 (2006)] by considering a four-terminal setup to investigate the circumstances in which this symmetry is broken. For the absence of Dresselhaus interaction, starting from the applied out-of-plane B corresponding to Zeeman splitting energy Δ=0–0.5 times the Rashba hopping energy tSOR, the breaking process is clearly seen. The influence of the Rashba interaction on the magnetization of the 2DEG is studied herein. For coexisted Rashba tSOR and Dresselhaus tSOD spin-orbit couplings in the absence of B, interchanging tSOR and tSOD reverses the entire accumulation pattern. [ABSTRACT FROM AUTHOR]

The mean-field-assisted Landauer-Keldysh formalism is employed to study the orientation of a magnetic impurity embedded in two-dimensional electron gas with Rashba spin-orbit coupling. Interesting physics arises about the stability of the impurity spin. The spin of Rashba electrons interacting with magnetic impurity spin has two steady states, while the stable or unstable state depends on the local charge current and the exchange coupling strength between the local impurity spin and itinerant electrons. Furthermore, the stable steady state of impurity spin gives rise to an interesting phenomenon, magnetic screening effect in a 2DEG system. [ABSTRACT FROM AUTHOR]

We investigate the enhancement of intrinsic spin Hall accumulation in a two-dimensional electron gas with Rashba and Dresselhaus (001) spin-orbit coupling. Employing the real-space Landauer-Keldysh Green's function formalism, we show that intrinsic spin Hall accumulation can be strongly enhanced at the specific energy point where the system develops two charge current vortices with certain chirality. We find that the localized vortex state is accompanied by a conductance dip arising from the Fano-Rashba effect. The spin-orbit force picture is used to analyze the enhanced spin accumulation patterns. [ABSTRACT FROM AUTHOR]

The mean-field-assisted Landauer-Keldysh formalism is employed to study the flip of an impurity spin under a uniaxial anisotropic field in two-dimensional electron gas with Rashba spin-orbit coupling. The spin-flip process with uniaxial anisotropic axis set to three different directions is investigated in a four-terminal Landauer setup. We show that the spin flip follows a three-dimensional trajectory rather than in-plane motion. As bias voltage changes sign, the impurity spin will flip from one saturated state to another and move along a different trajectory, depending on the chosen initial saturated state. [ABSTRACT FROM AUTHOR]