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The spin Hall effect is a phenomenon that an electric field induces a spin Hall current. In this Letter, we examine the inverse effect that, in a ferromagnetic conductor, a charge Hall current is induced by a spin motive force, or a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Junya Shibata , Hiroshi Kohno

We present gauge-invariant theory of the dynamic inverse spin Hall effect driven by the spin--orbit interaction in metallic systems. Charge conservation is imposed diagrammatically by including vertex corrections. We show the charge current…

Mesoscale and Nanoscale Physics · Physics 2010-01-06 Kazuhiro Hosono , Akihito Takeuchi , Gen Tatara

Charge-to-spin conversion in inhomogeneous systems is studied theoretically. We consider free electrons subject to impurities with spin-orbit interaction and with spatially modulated distribution, and calculate spin accumulation and spin…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 T. Funato , H. Kohno

In metallic systems with spin-orbit coupling a longitudinal charge current may generate a transverse pure spin current; vice-versa an injected pure spin current may result in a transverse charge current. Such direct and inverse spin Hall…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 Cosimo Gorini

We study transport in normal metals in an external magnetic field. This system exhibits an interplay between a transverse spin imbalance (spin Hall effect) caused by the spin-orbit interaction, a Hall effect via the Lorentz force, and spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. V. Shchelushkin , Arne Brataas

A brief review is given on the spin Hall effect, where an external electric field induces a transverse spin current. It has been recognized over 30 years that such effect occurs due to impurities in the presence of spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shuichi Murakami

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

First principles calculations show that electric fields applied to ferromagnets generate spin currents flowing perpendicularly to the electric field. Reduced symmetry in these ferromagnets enables a wide variety of such spin currents.…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 V. P. Amin , Junwen Li , M. D. Stiles , P. M. Haney

An extension of Drude model is proposed that accounts for spin and spin-orbit interaction of charge carriers. Spin currents appear due to combined action of the external electric field, crystal field and scattering of charge carriers. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Eugene M. Chudnovsky

It is proposed that when a charge current circulates in a paramagnetic metal a transverse spin imbalance will be generated, giving rise to a 'spin Hall voltage'. Similarly, that when a spin current circulates a transverse charge imbalance…

Strongly Correlated Electrons · Physics 2009-10-31 J. E. Hirsch

A biref review is presented on resonant spin Hall effect, where a tiny external electric field induces a saturated spin Hall current in a 2-dimensional electron or hole gas in a perpendicular magnetic field. The phenomenon is attributted to…

Mesoscale and Nanoscale Physics · Physics 2009-04-14 Fu-Chun Zhang , Shun-Qing Shen

We demonstrate that spin-orbit coupled electrons in a magnetically doped system exert a spin torque on the local magnetization, without a flowing current, when the chemical potential is modulated in a magnetic field. The spin torque is…

Mesoscale and Nanoscale Physics · Physics 2015-09-17 Kentaro Nomura , Daichi Kurebayashi

The magnetic spin Hall effect is a time-reversal-odd phenomenon in which spin current is induced by the charge current. In the presence of a spin-orbit coupling and/or noncolinear magnetism, however, spin current is not uniquely defined.…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Atsuo Shitade

The spin-orbit interaction enables interconversion between a charge current and a spin current. It is usually believed that in a nonmagnetic metal (NM) or at a NM/ferromagnetic metal (FM) bilayer interface, the symmetry of spin-orbit…

Spin currents in ferromagnets afford diverse functionalities. We evaluate the extrinsic spin Hall effects of magnetic impurity scattering in ferromagnetic metals. We show that spin-dependent scattering can provide a high spin current…

Materials Science · Physics 2022-07-12 Yuta Yahagi , Daisuke Miura , Akimasa Sakuma

We propose a new approach to generate and detect spin currents in graphene, based on a large spin-Hall response arising near the neutrality point in the presence of external magnetic field. Spin currents result from the imbalance of the…

Mesoscale and Nanoscale Physics · Physics 2011-08-24 D. A. Abanin , R. V. Gorbachev , K. S. Novoselov , A. K. Geim , L. S. Levitov

We study the spin transport theoretically in heterostructures consisting of a ferromagnetic metallic thin film sandwiched between heavy-metal and oxide layers. The spin current in the heavy metal layer is generated via the spin Hall effect,…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 L. Chotorlishvili , Z. Toklikishvili , X. -G. Wang , V. K. Dugaev , J. Barnas , J. Berakdar

Spin Hall effects are a collection of phenomena, resulting from spin-orbit coupling, in which an electrical current flowing through a sample can lead to spin transport in a perpendicular direction and spin accumulation at lateral…

Mesoscale and Nanoscale Physics · Physics 2007-09-18 Hans-Andreas Engel , Emmanuel I. Rashba , Bertrand I. Halperin

It was proposed recently by Murakami et al. [Science \textbf{301}, 1348(2003)] that in a large class of $p$-doped semiconductors, an applied electric field can drive a quantum dissipationless spin current in the direction perpendicular to…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Liangbin Hu , Ju Gao , Shun-Qing Shen

Magneto-electric effect, that is an appearance of magnetisation induced by electric current is allowed by symmetry in metals with crystal structure without space inversion. The microscopic origin of this effect is spin-orbit coupling of…

Strongly Correlated Electrons · Physics 2024-01-22 V. P. Mineev
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