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We employ a helicity-basis kinetic equation approach to investigate the anomalous Hall effect in two-dimensional narrow-band semiconductors considering both Rashba and extrinsic spin-orbit (SO) couplings, as well as a SO coupling directly…

Materials Science · Physics 2009-11-11 S. Y. Liu , Norman J. M. Horing , X. L. Lei

A self-consistent treatment of the spin-Hall effect requires consideration of the spin-orbit coupling and electron-impurity scattering on equal footing. This is done here for the experimentally relevant case of a [110] GaAs quantum well…

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

Charge-spin interconversion in magnetic materials is investigated by using first-principles calculations. In addition to the conventional spin Hall effect (SHE) that requires mutual orthogonality of the charge current, spin-flow direction,…

Materials Science · Physics 2022-08-11 Ping Li , Jing-Zhao Zhang , Zhi-Xin Guo , Tai Min , X. R. Wang

We theoretically investigate an extrinsic spin Hall effect (SHE) in semiconductor heterostructures due to the scattering by an artificial potential created by antidot, STM tip, etc. The potential is electrically tunable. First, we formulate…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Mikio Eto , Tomohiro Yokoyama

The anomalous Hall effect (AHE) is a consequence of spin-orbit coupling in a ferromagnetic metal and is related primarily to density-matrix response to an electric field that is off-diagonal in band index. For this reason disorder…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. A. Sinitsyn , A. H. MacDonald , T. Jungwirth , V. K. Dugaev , Jairo Sinova

The intrinsic spin-Hall effects (SHE) in $p$-doped semiconductors [S. Murakami et al., Science 301, 1348 (2003)] and two-dimensional electron gases with Rashba spin-orbit coupling [J. Sinova et al., Phys. Rev. Lett. 92, 126603 (2004)] have…

Mesoscale and Nanoscale Physics · Physics 2010-05-28 T. Fujita , M. B. A. Jalil , S. G. Tan

We study the anomalous Hall conductivity in spin-polarized, asymmetrically confined two-dimensional electron and hole systems, focusing on skew-scattering contributions to the transport. We find that the skew scattering, principally…

We show how the quantum Hall effect in an inverted-gap semiconductor (with electron- and hole-like states at the conduction- and valence-band edges interchanged) can be used to inject, precess, and detect the electron spin along a…

Mesoscale and Nanoscale Physics · Physics 2009-11-24 A. R. Akhmerov , C. W. Groth , J. Tworzydlo , C. W. J. Beenakker

The anomalous Hall effect (AHE) is an efficient tool for detecting the N\'eel vector in collinear compensated magnets with spin-split bands, known as altermagnets (AMs). Here, we establish design principles for obtaining non-zero anomalous…

Materials Science · Physics 2025-05-13 Sajjan Sheoran , Pratibha Dev

Semiclassical chiral fermions manifest the anomalous spin-Hall effect: when put into a pure electric field they suffer a side jump, analogous to what happens to their massive counterparts in non-commutative mechanics. The transverse shift…

High Energy Physics - Theory · Physics 2014-10-16 P. -M. Zhang , P. A. Horváthy

We investigate the extrinsic spin Hall effect in the electron gas model due to magnetic impurities, by focusing on Ce- and Yb-impurities. In the dilute limit, the skew scattering term dominates the side jump term. For Ce-impurities, the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Tanaka , H. Kontani

The spin-orbit (SO) coupling is conventionally known to manifest as \emph{odd} functions of momentum. Here, through both model calculations and symmetry analysis along with the method of invariants, we reveal that, in ordinary semiconductor…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Hao Yang , Wei Wang , Gerson J. Ferreira , Ning Hao , Ping Zhang , Jiyong Fu

Recently, we have found an additional spin-orbit (SO) interaction in quantum wells with two subbands [Phys. Rev. Lett. 99, 076603 (2007)]. This new SO term is non-zero even in symmetric geometries, as it arises from the intersubband…

Mesoscale and Nanoscale Physics · Physics 2008-10-20 Rafael S. Calsaverini , Esmerindo Bernardes , J. Carlos Egues , Daniel Loss

The coupled kinetic equation for density and spin Wigner functions are derived including spin-orbit coupling, electric and magnetic field as well as selfconsistent Hartree meanfields suited for SU(2) transport. The interactions are assumed…

Strongly Correlated Electrons · Physics 2015-12-23 K. Morawetz

Anomalous Hall effect arises in systems with both spin-orbit coupling and magnetization. Generally, there are three mechanisms contributing to anomalous Hall conductivity: intrinsic, side jump, and skew scattering. The standard diagrammatic…

Disordered Systems and Neural Networks · Physics 2020-12-24 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

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

We present a theoretical study of a spin field-effect transistor realized in a quantum well formed in a p--doped ferromagnetic-semiconductor- nonmagnetic-semiconductor-ferromagnetic-semiconductor hybrid structure. Based on an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Marco G. Pala , Michele Governale , Jürgen König , Ulrich Zülicke , Giuseppe Iannaccone

The spin Hall effect (SHE) can generate a pure spin current by an electric current, which is promisingly used to electrically control magnetization. To reduce power consumption of this control, a giant spin Hall angle (SHA) in the SHE is…

We report the experimental observation of the spin-Hall effect in a two-dimensional (2D) hole system with Rashba spin-orbit coupling. The 2D hole layer is a part of a p-n junction light-emitting diode with a specially designed co-planar…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Joerg Wunderlich , Bernd Kaestner , Jairo Sinova , Tomas Jungwirth

We propose a mechanism of intrinsic spin Hall effect (SHE). In this mechanism, local orbital angular momentum (OAM) induces electron position shift and couples with the bias electric field to generate orbital Hall effect (OHE). SHE then…

Mesoscale and Nanoscale Physics · Physics 2014-07-15 Wonsig Jung , Dongwook Go , Hyun-Woo Lee , Changyoung Kim
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