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The intrinsic spin-Hall effect in hexagon-shaped samples is investigated. To take into account the spin-orbit couplings and to fit the hexagon edges, we derive the triangular version of the tight-binding model for the linear Rashba [Sov.…

Mesoscale and Nanoscale Physics · Physics 2007-08-16 Son-Hsien Chen , Ming-Hao Liu , Ching-Ray Chang

A two dimensional hopping system with Rashba spin-orbit interaction is considered. Our main interest is concerned with the evolution of the spin degree of freedom of the electrons. We derive the rate equations governing the evolution of the…

Condensed Matter · Physics 2009-11-10 T. Damker , H. Boettger , V. V. Bryksin

We discuss the transport properties of a quantum spin-Hall insulator with sizable Rashba spin-orbit coupling in a disk geometry. The presence of topologically protected helical edge states allows for the control and manipulation of spin…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 R. Battilomo , N. Scopigno , C. Ortix

Theory predicts for the two-dimensional electrons gas with only Rashba spin-orbit interaction a vanishing spin Hall conductivity and at the same time a finite inverse spin Hall effect. We show how these seemingly contradictory results are…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 C. Gorini , R. Raimondi , P. Schwab

We calculate the spin-Hall conductivity for a two-dimensional electron gas within the self-consistent Born approximation, varying the strength and type of disorder. In the weak disorder limit we find both analytically and numerically a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roberto Raimondi , Peter Schwab

A fully relativistic description of the spin-orbit induced spin Hall effect is presented that is based on Kubo's linear response formalism. Using an appropriate operator for the spin current density a Kubo-St\v{r}eda-like equation for the…

We study the spin-Hall effect in systems with weak cubic Rashba spin-orbit interaction. To this end we derive particle and spin diffusion equations and explicit expressions for the spin-current tensor in the diffusive regime. We discuss the…

Disordered Systems and Neural Networks · Physics 2009-11-11 O. Bleibaum , S. Wachsmuth

We study the spin dynamics of two dimensional electron gases (2DEGs) with Rashba spin-orbit coupling by taking account of electron-electron interactions. The diffusion equations for charge and spin densities are derived by making use of the…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Yuan Li , You-Quan Li

The influence of inelastic relaxation time on the intrinsic spin Hall effects in a disordered two-dimensional electron gas with Rashba interaction is studied, which clarifies the controversy of impurity effects in the system. We reveal…

Mesoscale and Nanoscale Physics · Physics 2008-04-19 Pei Wang , You-Quan Li

We study the electrical transport properties of a two-dimensional electron gas with the Rashba spin-orbit interaction in presence of a constant perpendicular magnetic field $(B_0 \hat z)$ which is weakly modulated by ${\bf B_1} = B_1 \cos…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 SK Firoz Islam , Tarun Kanti Ghosh

Spin-Hall effect in ballistic 2D electron gas with Rashba-type spin-orbit coupling and smooth edge confinement is studied. We predict that the interplay of semiclassical electron motion and quantum dynamics of spins leads to several…

Mesoscale and Nanoscale Physics · Physics 2009-05-15 P. G. Silvestrov , V. A. Zyuzin , E. G. Mishchenko

Using four-terminal Landauer-B\"{u}ttiker formalism and Green's function technique, in this present paper, we calculate numerically spin Hall conductance (SHC) and longitudinal conductance of a finite size kagome lattice with Rashba…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 Moumita Dey , Santanu K. Maiti , S. N. Karmakar

In these lecture notes we study the disordered two-dimensional electron gas in the presence of Rashba spin-orbit coupling, by using the Keldysh non-equilibrium Green function technique. We describe the effects of the spin-orbit coupling in…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Roberto Raimondi , Cosimo Gorini , Sebastian Tölle

Broken Galilean invariance in a spin-orbit coupled system can amplify many-body effects on its different responses. We study the anomalous Hall and spin Hall conductivities of a magnetic two-dimensional electron gas with Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 Moslem Mir , Saeed H. Abedinpour

Edelstein and spin Hall effect response functions for a two-dimensional (2D) system of pseudospin-1 particles is investigated. These two response functions denoted by $ \sigma_{SH} $ and $ \sigma_{EE} $ have been analyzed in a pseudospin-1…

Mesoscale and Nanoscale Physics · Physics 2023-01-03 S. Rastegar , A. Phirouznia

We present the analytical result of the expectation value of spin resulting from an injected spin polarized electron into a semi-infinitely extended 2DEG plane with [001] growth geometry via ideal quantum point contact. Both the Rashba and…

Other Condensed Matter · Physics 2007-05-23 Ming-Hao Liu , Ching-Ray Chang , Son-Hsien Chen

Magneto-transport properties of a two-dimensional electron gas in a chain of planar quantum rings are investigated under the Rashba spin-orbit interaction and a transverse homogeneous magnetic field. A modulation potential function models…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Armen Harutyunyan

We develop the microscopic theory of the extrinsic spin Hall conductivity of a two-dimensional electron gas, including skew-scattering, side-jump, and Coulomb interaction effects. We find that while the spin-Hall conductivity connected with…

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

Spin-orbit interaction (SOI) in low-dimensional systems results in the fascinating property of spin-momentum locking. In a Rashba system the inversion symmetry normal to the plane of a two-dimensional (2D) electron gas is broken, generating…

Materials Science · Physics 2013-02-22 Bartosz Slomski , Gabriel Landolt , Gustav Bihlmayer , Jürg Osterwalder , J. Hugo Dil

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