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Related papers: St\v{r}eda formula for charge and spin currents

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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

The spin polarized charge transport is systematically analyzed as a thermally driven stochastic process. The approach is based on Kramers' equation describing the semiclassical motion under the inclusion of stochastic and damping forces.…

Statistical Mechanics · Physics 2009-11-13 Michael Schulz , Steffen Trimper

Physical properties such as the conductivity are usually classified according to the symmetry of the underlying system using Neumann's principle, which gives an upper bound for the number of independent components of the corresponding…

Mesoscale and Nanoscale Physics · Physics 2023-11-14 Longjun Xiang , Fuming Xu , Luyang Wang , Jian Wang

We study theoretically the spin-Hall effect as well as its reciprocal phenomenon (a transverse charge current driven by a spin-dependent chemical potential gradient) in electron and hole finite size mesoscopic systems. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. M. Hankiewicz , Jian Li , Tomas Jungwirth , Qian Niu , Shun-Qing Shen , Jairo Sinova

We introduce s.n where n is the unit vector in the direction of the radius vector and s is the spin, which along with the velocity forms a spin-orbit interaction of the order of v/c whereas the usual spin-orbit interaction is of the order…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

The Kubo formula is used to calculate the spin-Hall conductivity in a spin-polarized two-dimensional electron system with Rashba-type spin-orbit interaction. As in the case of the unpolarized electron system, spin Hall conductivity is…

Materials Science · Physics 2009-11-13 C. P. Moca , D. C. Marinescu

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

The spin-Hall conductivity of a disordered 2D electron gas has been calculated for an arbitrary spin-orbit interaction. We have found that in the diffusive regime of electron transport, in accordance with previous calculations, the dc…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. G. Mal'shukov , K. A. Chao

An analytical approach to calculation of the conductivity tensor, $\sigma$, of a two-dimensional (2D) electron system with Rashba spin-orbit interaction (SOI) in an orthogonal magnetic field is proposed. The electron momentum relaxation is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. G. Novokshonov , A. G. Groshev

We study the spin relaxation in an interacting two--dimensional electron gas in a strong magnetic field for the case that the electron density is close to filling just one Landau sub--level of one spin projection, i.e., for filling factor…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 W. Apel , Yu. A. Bychkov

The Kirchhoff-Helmholtz principle of least heat dissipation is applied in order to derive the stationary state of the spin-Hall effect. Spin-accumulation due to spin-orbit interaction, spin-flip relaxation, and electrostatic interaction due…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Jean-Eric Wegrowe , Pierre-Michel Dejardin

We investigate the Drude model of spin dynamics in two-dimensional spin-orbit coupled systems. In the absence of an applied electric field, the spin aligns with the k-dependent effective magnetic field. The influence of disorder (the…

Mesoscale and Nanoscale Physics · Physics 2020-12-14 Tsung-Wei Chen , Hsiu-Chuan Hsu

The spin Hall effect (SHE) is normally discussed in terms of a spin current, which is ill-defined in strongly spin-orbit-coupled systems because of spin non-conservation. In this work we propose an alternative view of SHE phenomena by…

Mesoscale and Nanoscale Physics · Physics 2019-05-16 Hua Chen , Qian Niu , Allan H. MacDonald

The stationary Schr\"odinger equation for an electron in a constant electromagnetic field with a non-Hermitian linear perturbation is studied. The wave function and the spectrum of the system are derived analytically, with the spectrum…

Mesoscale and Nanoscale Physics · Physics 2025-05-15 Jorge A. Lizarraga , Kenan Uriostegui

We propose a Schr\"odinger equation of arbitrary order for modeling charge transport in semiconductors operating in the ballistic regime. This formulation incorporates non-parabolic effects through the Kane dispersion relation, thereby…

Mathematical Physics · Physics 2026-03-31 Giulia Elena Aliffi , Giovanni Nastasi , Vittorio Romano

A spin projection scheme is presented which allows the decomposition of the electric conductivity into two different spin channels within fully relativistic $ab$ $initio$ transport calculations that account for the impact of spin-orbit…

Materials Science · Physics 2015-05-19 S. Lowitzer , D. Ködderitzsch , H. Ebert

We theoretically predict that a pure steady state spin-current without charge-current can induce an electric field. A formula for the induced electric field is derived and we investigate its characteristics. Conversely, a moving spin is…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Qing-feng Sun , Hong Guo , Jian Wang

Spin Hall effect (SHE), a fundamental transport phenomenon with non-zero spin current but vanishing charge current, has important applications in spintronics for the electrical control of spins. Owing to the half-spin nature of electrons,…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 Junpeng Hou , Ying Su , Chuanwei Zhang

We consider a neutral spinor condensate moving in a periodic magnetic field. The spatially dependent magnetic field induces an effective spin dependent Lorentz force which in turn gives rise to a spin dependent Hall effect. Simulations of…

Mesoscale and Nanoscale Physics · Physics 2010-05-17 Mathieu Taillefumier , Eskil K. Dahl , Arne Brataas , Walter Hofstetter

Schr\"odinger equation with given, {\it a priori} known current is formulated. A non-zero current density is maintained in the quantum system via a subsidiary condition imposed by vector, local Lagrange multiplier. Constrained minimization…

Condensed Matter · Physics 2009-11-07 D. S. Kosov