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Related papers: Manifestation of extrinsic spin Hall effect in sup…

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The Usadel equation is the standard theoretical tool for the description of superconducting structures in the diffusive limit. Here I derive the Usadel equation for gyrotropic materials with a generic linear in momentum spin-orbit coupling.…

Superconductivity · Physics 2017-08-09 I. V. Tokatly

We suggest a generalization of nonlinear $\sigma$-model for diffusive superconducting systems to account for magnetoelectric effects due to spin-orbit scattering. In the leading orders of spin-orbit strength and gradient expansion it…

Superconductivity · Physics 2021-09-02 P. Virtanen , F. S. Bergeret , I. V. Tokatly

A complete set of the generalized drift-diffusion equations for a coupled charge and spin dynamics in ferromagnets in the presence of extrinsic spin-orbit coupling is derived from the quantum kinetic approach, covering major transport…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 C. O. Pauyac , M. Chshiev , A. Manchon , S. A. Nikolaev

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

The search for superconducting systems exhibiting nonreciprocal transport and, specifically, the diode effect, has proliferated in recent years. This trend encompasses a wide variety of systems, including planar hybrid structures,…

Superconductivity · Physics 2024-02-28 Tim Kokkeler , Ilya Tokatly , Sebastian Bergeret

The drift-diffusion formalism for spin-polarized carrier transport in semiconductors is generalized to include spin-orbit coupling. The theory is applied to treat the extrinsic spin Hall effect using realistic boundary conditions. It is…

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

We demonstrate that the hybrid structures consisting of a superconducting layer with an adjacent spin-textured ferromagnet demonstrate the variety of equilibrium magnetoelectric effects originating from coupling between the conduction…

Superconductivity · Physics 2019-06-18 D. S. Rabinovich , I. V. Bobkova , A. M. Bobkov , M. A. Silaev

We describe a new effect in semiconductor spintronics that leads to dissipationless spin-currents in paramagnetic spin-orbit coupled systems. We argue that in a high mobility two-dimensional electron system with substantial Rashba…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jairo Sinova , Dimitrie Culcer , Q. Niu , N. A. Sinitsyn , T. Jungwirth , A. H. MacDonald

We consider the spin-orbit-induced spin Hall effect and spin swapping in diffusive superconductors. By employing the non-equilibrium Keldysh Green's function technique in the quasiclassical approximation, we derive coupled transport…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Camilla Espedal , Peter Lange , Severin Sadjina , A. G. Mal'shukov , Arne Brataas

We provide a theoretical description of diffusive charge and spin transport in hybrid devices containing altermagnets. Based on recently derived drift--diffusion equations for coupled charge and spin dynamics and general boundary…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Nicolás Sigales , Tim Kokkeler , Gonzalo de Polsi , Sebastian Bergeret

Direct and inverse spin Hall effects lie at the heart of novel applications that utilize spins of electrons as information carriers, allowing generation of spin currents and detecting them via the electric voltage. In the standard…

Materials Science · Physics 2023-01-03 Arunesh Roy , Marcos H. D. Guimarães , Jagoda Sławińska

We calculate spin Hall conductivities in the two dimensional electron systems with Rashba spin-orbit interaction. The salient feature is that, apart from the usual spin-Hall conductivity \sigma^z_{xy} which corresponds to the induction of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ankur Sensharma , Sudhansu S. Mandal

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

When a spin-splitting field is introduced to a thin film superconductor, the spin currents polarized along the field couples to energy currents that can only decay via inelastic scattering. We study spin and energy injection into such a…

Mesoscale and Nanoscale Physics · Physics 2024-06-05 Lina Johnsen Kamra , Jacob Linder

Nonreciprocal dissipationless transport has long been sought for applications in superconducting technologies. Recently, it has been implemented by the so called superconducting diode effect. Such effect arises from an imbalance in critical…

Spin Hall effects are a collection of relativistic spin-orbit coupling phenomena in which electrical currents can generate transverse spin currents and vice versa. Although first observed only a decade ago, these effects are already…

Materials Science · Physics 2014-11-13 Jairo Sinova , Sergio O. Valenzuela , J. Wunderlich , C. H. Back , T. Jungwirth

We derive the nonlinear $\sigma$-model to describe diffusive transport in normal metals and superconductors with intrinsic spin-orbit coupling (SOC). The SOC is described via an SU(2) gauge field, and we expand the model to the fourth order…

Superconductivity · Physics 2022-06-30 P. Virtanen , F. S. Bergeret , I. V. Tokatly

In this review, we describe in detail two important spin-transport phenomena: the extrinsic spin-Hall effect (coming from spin-orbit interactions between electrons and impurities) and the spin-Coulomb drag. The interplay of these two…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 E. M. Hankiewicz , G. Vignale

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

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
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