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We derive the spin continuity equation by using the Noether's theorem. A new type of spin-tensor Hall current is found in the continuity equation. The spin-tensor Hall current is originating from the coupling of the spin-tensor and the…

Mesoscale and Nanoscale Physics · Physics 2020-02-04 Yong-Ping Fu , Fei-Jie Huang , QI-Hui Chen

Spin and electric Hall currents are calculated numerically in a two-dimensional mesoscopic system with Rashba and Dresselhaus spin-orbit coupling by means of the Landauer-Buttiker formalism. It is found that both electric and spin Hall…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jian Li , Liangbin Hu , Shun-Qing Shen

Using the four-terminal Landauer-B\"{u}ttiker formula and Green's function approach, we calculate numerically the spin-Hall conductance in a two-dimensional junction system with the Rashba spin-orbit (SO) coupling and disorder. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. Sheng , D. N. Sheng , C. S. Ting

In frame of Dirac quantum field theory that describes electrons and positrons as elementary excitations of the spinor field, the generalized operator of the spin-orbit interaction is obtained using non-relativistic approximation in the…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 A. A. Eremko , L. Brizhik , V. M. Loktev

The spin-orbit interaction in heavy hole gas formed at $p$-doped semiconductor heterojunctions and electron gas at {\mbox SrTiO}${}_3$ surfaces is cubic in momentum. Here we report magnetotransport properties of k-cubic Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2014-09-15 Alestin Mawrie , Tutul Biswas , Tarun Kanti Ghosh

Spin Hall effect at finite wave vector in a ferromagnetic conductor is theoretically studied by calculating the spin density as the linear response to an applied electric field. The cases of a spin-orbit interaction due to random impurities…

Mesoscale and Nanoscale Physics · Physics 2022-02-17 Gen Tatara

We consider the spin-Hall current in a disordered two-dimensional electron gas in the presence of Rashba spin-orbit interaction. We derive a generalized Kubo-Greenwood formula for the spin-Hall conductivity $\sigma$ and evaluate it in an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Oleg Chalaev , Daniel Loss

The effect of spin-orbit interaction on electron transport properties of a cross-junction structure is studied. It is shown that it results in spin polarization of left and right outgoing electron waves. Consequently, incoming electron wave…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. N. Bulgakov , K. N. Pichugin , A. F. Sadreev , P. Středa , P. Šeba

Spin Hall effect (SHE) in a 2D-Rashba system has been treated in the spin-dependent precession [J. Sinova et al., Phys. Rev. Letts. 92, 126603 (2004).] and the time-space gauge [T. Fujita et al., New J. Phys. 12, 013016 (2010).] approaches,…

Mesoscale and Nanoscale Physics · Physics 2013-04-04 Seng Ghee Tan , Mansoor B. A. Jalil

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 investigate the spin Hall effect (SHE) in a wide class of spin-orbit coupling systems by using spin force picture. We derive the general relation equation between spin force and spin current and show that the longitudinal force component…

Mesoscale and Nanoscale Physics · Physics 2016-02-11 Cong Son Ho , Mansoor B. A. Jalil , Seng Ghee Tan

A semiclassical formulation of the spin Hall effect for physical systems satisfying Dirac-like equation is introduced. We demonstrated that the main contribution to the spin Hall conductivity is given by the spin Chern number whether the…

Mathematical Physics · Physics 2016-06-14 Ömer F. Dayi , Elif Yunt

In this paper, we focus on the connection between spin Hall effect and spin force. Here we investigate that the spin force due to spin-orbit coupling, which in two-dimensional system is equivalent to forces of Hirsch and Chudnovsky besides…

Mesoscale and Nanoscale Physics · Physics 2014-10-14 Yong Tao

Recent experiments demonstrate that antiferromagnets exhibit the spin Hall effect. We study a tight-binding model of an antiferromagnet on a square lattice with Rashba spin-orbit coupling and disorder. By exact diagonalization of a finite…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Sverre A. Gulbrandsen , Camilla Espedal , Arne Brataas

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

With a view to electrical spin manipulation and quantum computing applications, recent significant attention has been devoted to semiconductor hole systems, which have very strong spin-orbit interactions. However, experimentally measuring,…

Mesoscale and Nanoscale Physics · Physics 2018-10-08 Hong Liu , Elizabeth Marcellina , Alexander R. Hamilton , Dimitrie Culcer

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 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

We derive the ac spin-Hall conductivity $\sigma_{\rm sH}(\omega)$ of two-dimensional spin-orbit coupled systems interacting with dispersionless phonons of frequency $\omega_0$. For the linear Rashba model we show that the electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Grimaldi , E. Cappelluti , F. Marsiglio

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