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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…

In a two dimensional electron gas with Rashba spin-orbit coupling, the external electric field may cause a spin Hall current in the direction perpendicular to the electric field. This effect was called the intrinsic spin Hall effect. In…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Xiaohua Ma , Liangbin Hu , Ruibao Tao , Shun-Qing Shen

The spin Hall (SH) effect is a phenomenon in which the spin current flows perpendicular to an applied electric field and causes the spin accumulation at the boundaries. However, in the presence of spin-orbit couplings, the spin current is…

Mesoscale and Nanoscale Physics · Physics 2022-05-13 Atsuo Shitade , Gen Tatara

It has been shown recently that the universal dc spin conductivity of two-dimensional electrons with a Rashba spin-orbit interaction is canceled by vertex corrections in a weak scattering regime. We prove that the zero bulk spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Emmanuel I. Rashba

We study theoretically the spin and orbital angular momentum (OAM) Hall effect in a high mobility two-dimensional electron system with Rashba and Dresselhuas spin-orbit coupling by introducing both the spin and OAM torque corrections,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Tsung-Wei Chen , Chih-Meng Huang , G. Y. Guo

Starting from the Kubo formula, we expand the Hall conductivity using a cumulant approach which converges quickly at high temperatures (k_BT > energy differences of initial and final scattering states) and can be extended to low…

Other Condensed Matter · Physics 2013-10-18 Louis-François Arsenault , B. Movaghar

We present an exact derivation for non-commuting coordinates induced by the SU(2) transformation used to diagonalize the spin-orbit hamiltonian in two dimension.As a result an exact non-dissipative Hall current less sensitive to disorder…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Schmeltzer

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 theoretically the current-induced spin polarization effect in a two-terminal mesoscopic structure which is composed of a semiconductor two-dimensional electron gas (2DEG) bar with Rashba spin-orbit (SO) interaction and two attached…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Yongjin Jiang

We study the spin polarization induced by a current flow in clean two dimensional electron gases with Rashba spin-orbit coupling. This geometric effect originates from special properties of the electron's scattering at the edges of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Reynoso , Gonzalo Usaj , C. A. Balseiro

A general expression for the spin Hall conductivity (SHC) in the s-wave superconducting state at finite temperatures is derived. Based on the expression, we study the SHC in a two-dimensional electron gas model in the presence of Rashba…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. Kontani , J. Goryo , D. S. Hirashima

We investigate some foundational issues in the quantum theory of spin transport, in the general case when the unperturbed Hamiltonian operator $H_0$ does not commute with the spin operator in view of Rashba interactions, as in the typical…

Mathematical Physics · Physics 2024-07-22 Giovanna Marcelli , Gianluca Panati , Stefan Teufel

In this work, we present the analytical solution of the effective mass Pauli equation, with Rashba and linear Dresselhaus interactions, for an electron gas moving through a semiconductor quantum dot under a longitudinal electric field,…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 J. L. Cardoso

The generation of spin current and spin polarization in a 2DEG structure is studied in the presence of Dresselhaus and Rashba spin-orbit couplings (SOC), the strength of the latter being modulated in time by an ac gate voltage. By means of…

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

The spin-Hall effect in the two-dimensional electron gas (2DEG) generates symmetric out-of-plane spin Sz accumulation about the current axis in the absence of external magnetic field. Here we employ the real space Landauer-Keldysh formalism…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Son-Hsien Chen , Ming-Hao Liu , Kuo-Wei Chen , Ching-Ray Chang

A model with both Rashba and Dresselhaus spin orbit (SO) couplings and Hubbard electron-electron interaction is studied on planar strips at quarter filling at zero temperature in the clean limit. In the absence of Hubbard repulsion and at…

Strongly Correlated Electrons · Physics 2018-02-06 Jose A. Riera

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

We show that the conductivity tensor of a disordered two-dimensional electron gas becomes anisotropic in the presence of both Rashba and Dresselhaus spin-orbit interactions (SOI). This anisotropy is a mesoscopic effect and vanishes with…

Mesoscale and Nanoscale Physics · Physics 2008-03-31 Oleg Chalaev , Daniel Loss

The intrinsic spin-Hall effect on spin accumulation and electric conductance in a diffusive regime of a 2D electron gas has been studied for a 2D strip of a finite width. It is shown that the spin polarization near the flanks of the strip,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. G. Mal'shukov , L. Y. Wang , C. S. Chu , K. A. Chao

We introduce the concept of bond spin current, which describes the spin transport between two sites of the lattice model of a multiterminal spin-orbit (SO) coupled semiconductor nanostructure, and express it in terms of the spin-dependent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Branislav K. Nikolic , Liviu P. Zarbo , Satofumi Souma
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