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We study theoretically some symmetry properties of spin currents and spin polarizations in multi-terminal mesoscopic spin-orbit coupled systems. Based on a scattering wave function approach, we show rigorously that in the equilibrium state…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yongjin Jiang , Liangbin Hu

We consider a two-dimensional electron system subjected to a short-ranged nonmagnetic disorder potential, Coulomb interactions, and Rashba spin-orbit coupling. The path-integral approach incorporated within the Keldysh formalism is used to…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Maxim Dzero , Alex Levchenko

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Shou-Cheng Zhang

The interconversion between charge and spin degrees of freedom is of both fundamental and technological relevance in spintronics. While a non-equilibrium spin density and a charge current are related by the well known Rashba-Edelstein…

Mesoscale and Nanoscale Physics · Physics 2023-11-17 Marc Vila , Joel E. Moore

Anomalous and spin Hall effects are investigated theoretically for a magnetic tunnel junction where the applied voltage produces a Rashba spin-or bit coupling within the tunneling barrier layer. The ferromagnetic electrodes are the source…

Mesoscale and Nanoscale Physics · Physics 2013-05-16 A. V. Vedyayev , M. S. Titova , N. V. Ryzhanova , M. Ye. Zhuravlev , E. Y. Tsymbal

Quantum spin Hall (QSH) state of matter is usually considered to be protected by time-reversal (TR) symmetry. We investigate the fate of the QSH effect in the presence of the Rashba spin-orbit coupling and an exchange field, which break…

Mesoscale and Nanoscale Physics · Physics 2011-08-15 Yunyou Yang , Zhong Xu , L. Sheng , Baigeng Wang , D. Y. Xing , D. N. Sheng

We develop a general scheme of deriving boundary conditions for spin-charge coupled transport in disordered systems with spin-orbit interactions. To illustrate the application of the method, we explicitly derive boundary conditions for spin…

Materials Science · Physics 2009-11-11 Victor Galitski , A. A. Burkov , S. Das Sarma

We present a detailed analysis of the skew-scattering contribution to the spin Hall conductivity using an extended version of the resonant scattering model of Fert and Levy [Phys. Rev. Lett. {\bf 106}, 157208 (2011)]. For $5d$ impurities in…

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

Reversible spin Hall effect comprising the "direct" and "inverse" spin Hall effects was successfully detected at room temperature. This experimental demonstration proves the fundamental relations called Onsager reciprocal relations between…

Materials Science · Physics 2015-06-25 T. Kimura , Y. Otani , T. Sato , S. Takahashi , S. Maekawa

The phenomenon of mesoscopic Spin-Hall effect reveals in a nonequilibrium spin accumulation (driven by electric current) at the edges of a ballistic conductor or, more generally, in the regions with varying electron density. In this paper…

Mesoscale and Nanoscale Physics · Physics 2009-12-24 P. G. Silvestrov , E. G. Mishchenko

The spin Hall effect creates a spin current in response to a charge current in a material that has strong spin-orbit coupling. The size of the spin Hall effect in many materials is disputed, requiring independent measurements of the effect.…

Mesoscale and Nanoscale Physics · Physics 2016-05-10 Joseph A. Boales , Carl T. Boone , Pritiraj Mohanty

A theory of the anomalous and spin Hall effects, based on the space distribution of the current densities, is presented. Spin-orbit coupling gives rise to a space separation of the mass centers, as well as a current density separation of…

Mesoscale and Nanoscale Physics · Physics 2010-09-09 Pavel Středa , Thibaut Jonckheere

The conventional definition of spin current is incomplete and unphysical in describing spin transport in systems with spin-orbit coupling. A proper and measurable spin current is established in this study, which fits well into the standard…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Junren Shi , Ping Zhang , Di Xiao , Qian Niu

The spin Hall (SH) effect, the conversion of the electric current to the spin current along the transverse direction, relies on the relativistic spin-orbit coupling (SOC). Here, we develop a microscopic theory on the mechanisms of the SH…

Materials Science · Physics 2024-03-21 Satoshi Okamoto , Naoto Nagaosa

We obtain analytic formulas for the frequency-dependent spin-Hall conductivity of a two-dimensional electron gas (2DEG) in the presence of impurities, linear spin-orbit Rashba interaction, and external magnetic field perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. M. Hankiewicz , G. Vignale

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

Theory predicts for the two-dimensional electrons gas with only Rashba spin-orbit interaction a vanishing spin Hall conductivity and at the same time a finite inverse spin Hall effect. We show how these seemingly contradictory results are…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 C. Gorini , R. Raimondi , P. Schwab

Spin Hall effect plays an essential role in generating spin current from the injected charge current, following the Dyakonov-Perel rule that the directions of charge flow, spin flow and spin polarization are mutually perpendicular to each…

Materials Science · Physics 2019-11-06 Po-Hung Lin , Po-Wei Lee , Yu-Hsuan Lin , Bo-Yuan Yang , Vinod Kumar , Hsiu-Hau Lin , Chih-Huang Lai

The spin degree of freedom is crucial for both understanding and exploiting the particular properties of the edges of two-dimensional topological insulators. In the absence of superconductivity and magnetism, Rashba coupling is the most…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Lorenzo Privitera , Niccolò Traverso Ziani , Inès Safi , Björn Trauzettel
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