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We derive the transport equations for two-dimensional electron systems with spin-orbit interaction and short-range spin-independent disorder. In the limit of slow spatial variations of the electron distribution we obtain coupled diffusion…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko , A. V. Shytov , B. I. Halperin

We investigate the spin Hall effect (SHE) in a wide class of spin-orbit coupling systems by using spin force picture. We derive the general relation equation between spin force and spin current and show that the longitudinal force component…

Mesoscale and Nanoscale Physics · Physics 2016-02-11 Cong Son Ho , Mansoor B. A. Jalil , Seng Ghee Tan

The effect of spin-orbit interaction on electron transport properties of a cross-junction structure is studied. It is shown that it results in spin polarization of left and right outgoing electron waves. Consequently, incoming electron wave…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. N. Bulgakov , K. N. Pichugin , A. F. Sadreev , P. Středa , P. Šeba

We predict a new effect in electronic bilayers: the {\it Spin Hall Drag}. The effect consists in the generation of spin accumulation across one layer by an electric current along the other layer. It arises from the combined action of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. M. Badalyan , G. Vignale

Using the recently proposed definition of a conserved spin-current operator [J. Shi et al., Phys. Rev. Lett. 96, 076604 (2006)] we explore the frequency dependent spin Hall conductivity for a two-dimensional electron gas with Rashba and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Arturo Wong , Jesus A. Maytorena , Catalina Lopez-Bastidas , Francisco Mireles

Based on a rigorous quantum-kinetic approach, spin-charge coupled drift-diffusion equations are derived for a strongly confined two-dimensional hole gas. An electric field leads to a coupling between the spin and charge degrees of freedom.…

Statistical Mechanics · Physics 2009-11-13 P. Kleinert , V. V. Bryksin

For certain non-magnetic solids with low symmetry the occurrence of spin-polarized longitudinal currents is predicted. These arise due to an interplay of spin-orbit interaction and the particular crystal symmetry. This result is derived…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 S. Wimmer , M. Seemann , K. Chadova , D. Ködderitzsch , H. Ebert

We consider the spin-Hall current in a disordered two-dimensional electron gas in the presence of Rashba spin-orbit interaction. We derive a generalized Kubo-Greenwood formula for the spin-Hall conductivity $\sigma$ and evaluate it in an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Oleg Chalaev , Daniel Loss

The spin-orbit coupling may generate spin transverse force on moving electron spin, which gives a heuristic picture for the quantum transverse transport of electron. A relation between the spin and anomalous Hall conductance and spin force…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Bin Zhou , Li Ren , Shun-Qing Shen

It is shown that magnetic forces as the Lorentz force, exerted on electric currents, and the force {\mu}Div(B), exerted on electron spins at rest, account for both the transverse spin imbalance typical of spin Hall effect and the transverse…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Antonio Hernando , Fernando Gálvez , Francisco Guinea

We study theoretically the spin-Hall effect as well as its reciprocal phenomenon (a transverse charge current driven by a spin-dependent chemical potential gradient) in electron and hole finite size mesoscopic systems. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. M. Hankiewicz , Jian Li , Tomas Jungwirth , Qian Niu , Shun-Qing Shen , Jairo Sinova

We derive the spin continuity equation by using the Noether's theorem. A new type of spin-tensor Hall current is found in the continuity equation. The spin-tensor Hall current is originating from the coupling of the spin-tensor and the…

Mesoscale and Nanoscale Physics · Physics 2020-02-04 Yong-Ping Fu , Fei-Jie Huang , QI-Hui Chen

Pumping of charge current by spin dynamics in the presence of the Rashba spin-orbit interaction is theoretically studied. Considering disordered electron, the exchange coupling and spin-orbit interactions are treated perturbatively. It is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jun-ichiro Ohe , Akihito Takeuchi , Gen Tatara

The generation, manipulation and detection of spin-polarized electrons in nanostructures define the main challenges of spin-based electronics[1]. Amongst the different approaches for spin generation and manipulation, spin-orbit coupling,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Sergio O. Valenzuela , M. Tinkham

Spin Hall effect and its inverse provide essential means to convert charge to spin currents and vice versa, which serve as a primary function for spintronic phenomena such as the spin-torque ferromagnetic resonance and the spin Seebeck…

Mesoscale and Nanoscale Physics · Physics 2015-11-03 Yasuhiro Niimi , YoshiChika Otani

The spin-Hall conductivity of a disordered 2D electron gas has been calculated for an arbitrary spin-orbit interaction. We have found that in the diffusive regime of electron transport, in accordance with previous calculations, the dc…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. G. Mal'shukov , K. A. Chao

Periodic in time spin-Hall current and spin polarization induced by a dc electric bias has been calculated in a superconductor-normal 2DEG-superconductor (SNS) Josephson junction. We assumed that the band energies of electrons in the normal…

Superconductivity · Physics 2015-05-27 A. G. Mal'shukov , C. S. Chu

Bloch oscillations appear for a particle in a weakly tilted periodic potential. The intrinsic spin Hall effect is an outcome of a spin-orbit coupling. We demonstrate that both these phenomena can be realized simultaneously in a gas of…

Quantum Gases · Physics 2015-05-18 Jonas Larson , Jani-Petri Martikainen , Anssi Collin , Erik Sjoqvist

By associating a spin-orbit interaction with a non-Abelian gauge potential, we theoretically present a spin polarization in a quite general form using an effective Yang-Mills field and a usual electromagnetic field. In this gauge invariant…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Akihito Takeuchi , Naoto Nagaosa

An oscillographic study of the Hall voltage with an unpolarized alternating current through a platinum sample revealed choral features of the Hall effect, which clearly demonstrate the presence of the spin Hall effect in metals with a…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Yu. N. Chiang , M. O. Dzyuba