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A nonequilibrium Green's functions approach to spin-Hall effect is developed in a diffusive two-dimensional electron system with Rashba spin-orbit interaction. In the presence of long-range impurities, the coupled quantum kinetic equations…

Materials Science · Physics 2007-05-23 S. Y. Liu , X. L. Lei

We investigate the intrinsic spin Hall effect in a quantum well semiconductor doped with magnetic impurities, as a means to manipulate the carriers' spin. Using a simple Hamiltonian with Rashba spin-orbit coupling and exchange interactions,…

Mesoscale and Nanoscale Physics · Physics 2014-04-22 T. L. van den Berg , L. Raymond , A. Verga

It is shown that the interplay of long-range disorder and in-plane magnetic field gives rise to an out-of-plane spin polarization and a finite spin Hall conductivity of the two-dimensional electron gas in the presence of Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Milletari' , R. Raimondi , P. Schwab

The spin precession in a cylindrical semiconductor nanowire due to Rashba spin-orbit coupling has been investigated theoretically using an InAs nanowire containing a surface two-dimensional electron gas as a model. The eigenstates,…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 A. Bringer , Th. Schäpers

The spin Hall (SH) effect is a phenomenon in which the spin current flows perpendicular to an applied electric field and causes the spin accumulation at the boundaries. However, in the presence of spin-orbit couplings, the spin current is…

Mesoscale and Nanoscale Physics · Physics 2022-05-13 Atsuo Shitade , Gen Tatara

Spin Hall effect (SHE) has been discussed in the context of Kubo formulation, geometric physics, spin orbit force, and numerous semi-classical treatments. It can be confusing if the different pictures have partial or overlapping claims of…

Mesoscale and Nanoscale Physics · Physics 2016-01-22 Seng Ghee Tan , Mansoor B. A. Jalil , Congson Ho , Zhuobin Siu , Shuichi Murakami

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

We investigate equilibrium (background), linear, and nonlinear spin currents in two-dimensional Rashba spin-orbit coupled altermagnet systems, using a modified spin current operator that includes anomalous velocity from non-zero Berry…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Priyadarshini Kapri

The non-commutative theory of charge transport in mesoscopic aperiodic systems under magnetic fields, developed by Bellissard, Shulz-Baldes and collaborators in the 90's, is complemented with a practical numerical implementation. The…

Statistical Mechanics · Physics 2012-10-25 Yu Xue , Emil Prodan

Spin-orbit coupling (SOC), which is inherent to a Dirac particle that moves under the influence of electromagnetic fields, manifests itself in a variety of physical systems including non-relativistic ones. For instance, it plays an…

Statistical Mechanics · Physics 2021-11-10 Tomohiro Hata , Eiji Nakano , Kei Iida , Hiroyuki Tajima , Junichi Takahashi

Spin currents that flow perpendicular to the electric field direction are generic in metals and doped semiconductors with spin-orbit coupling. It has recently been argued that the spin Hall conductivity can be dominated by an intrinsic…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Nomura , Jairo Sinova , T. Jungwirth , Q. Niu , A. H. MacDonald

Intraband and interband contributions to the current-driven spin-orbit torque in magnetic materials lacking inversion symmetry are theoretically studied using Kubo formula. In addition to the current-driven field-like torque ${\bf T}_{\rm…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Hang Li , H. Gao , Liviu P. Zârbo , K. Výborný , Xuhui Wang , Ion Garate , Fatih Doǧan , A. Čejchan , Jairo Sinova , T. Jungwirth , Aurélien Manchon

We study how the intrinsic anomalous Hall conductivity is modified in two-dimensional crystals with broken time-reversal symmetry due to weak inhomogeneity of the applied electric field. Focusing on a clean noninteracting two-band system…

Mesoscale and Nanoscale Physics · Physics 2021-04-13 Vladyslav Kozii , Alexander Avdoshkin , Shudan Zhong , Joel E. Moore

The intrinsic spin Hall conductivity in a two dimensional electron gas with Rashba spin-orbit coupling is evaluated by taking account of anisotropic coupling between magnetic impurities and itinerant electrons. In our calculation Kubo's…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Pei Wang , You-Quan Li , Xuean Zhao

Employing diagrammatic perturbation theory, we calculate the (charge) Coulomb drag resistivity $\rho_D$ and spin Coulomb drag resistivity $\rho_{\uparrow\downarrow}$ in the presence of Rashba spin-orbit coupling. Analytical expressions for…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Wang-Kong Tse , S. Das Sarma

We present magnetotransport calculations for homogeneous two-dimensional electron systems including the Rashba spin-orbit interaction, which mixes the spin-eigenstates and leads to a modified fan-chart with crossing Landau levels. The…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 M. Langenbuch , M. Suhrke , U. Rössler

The well-known experimentally observed \textit{sp}-derived Au(111) Shockley surface states with Rashba spin splitting are perfectly fit by an effective tight-binding model, considering a two-dimensional hexagonal lattice with…

Mesoscale and Nanoscale Physics · Physics 2008-11-15 Ming-Hao Liu , Son-Hsien Chen , Ching-Ray Chang

We formulate a general microscopic approach to spin-orbit torques in thin ferromagnet/heavy-metal bilayers in linear response to electric current or electric field. The microscopic theory we develop avoids the notion of spin currents and…

Mesoscale and Nanoscale Physics · Physics 2017-03-03 I. A. Ado , O. A. Tretiakov , M. Titov

A two dimensional hopping system with Rashba spin-orbit interaction is considered. Our main interest is concerned with the evolution of the spin degree of freedom of the electrons. We derive the rate equations governing the evolution of the…

Condensed Matter · Physics 2009-11-10 T. Damker , H. Boettger , V. V. Bryksin

We evaluate the distribution of Hall conductances in magnetic subbands of two-dimensional electron gas with Rashba spin-orbit (SO) coupling placed in a periodic potential and perpendicular magnetic field. In this semiconductor structure the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Ya. Demikhovskii , A. A. Perov