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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 investigate the spin-Hall effect of both electrons and holes in semiconductors using the Kubo formula in the correct zero-frequency limit taking into account the finite momentum relaxation time of carriers in real semiconductors. This…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John Schliemann , Daniel Loss

For the two-dimensional ideal electron gas with the Rashba spin-orbit interaction and in the presence of non-magnetic short-ranged potential impurities the spin-Hall conductivity $\sigma_{sH}$ is found by direct microscopic calculation.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ol'ga V. Dimitrova

A theory based on the Aharonov -Bohm effect in the momentum space for the Spin-Hall conductivity without a magnetic field is presented. The two dimensional Rashba Hamiltonian is diagonalized in the momentum spinor basis. This spinor is…

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

We calculate the spin Hall conductivity driven by Rashba spin-orbit interaction in $p$-type two-dimensional semiconductors in the presence of a perpendicular magnetic field. For a highly confined quantum well, the system is described by a…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 M. Zarea , Sergio E. Ulloa

We present a two-band kinetic equation method to investigate the anomalous Hall effect in a Rashba two-dimensional electron system subjected to a homogeneous magnetization. The electron-impurity scattering is taken into account in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Y. Liu , X. L. Lei

Following a previous work [Shen, Ma, Xie and Zhang, Phys. Rev. Lett. 92, 256603 (2004)] on the resonant spin Hall effect, we present detailed calculations of the spin Hall conductance in two-dimensional quantum wells in a strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shun-Qing Shen , Yun-Juan Bao , Michael Ma , X. C. Xie , Fu Chun Zhang

The intrinsic contribution to the spin Hall effect in a 2DEG with non-magnetic impurities is studied in a quantum Boltzmann approach. It is shown that if the steady state response is perturbative in the spin-orbit coupling parameter…

Mesoscale and Nanoscale Physics · Physics 2009-10-01 Janik Kailasvuori

Based on a proper definition of the spin current, we investigate the spin-Hall effect of heavy holes in narrow quantum wells in the presence of Rashba spin-orbit coupling by using a spin-density matrix approach. In contrast to previous…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. Kleinert , V. V. Bryksin

Intrinsic and extrinsic spin Hall effects are considered together on an equal theoretical footing for the Rashba spin-orbit coupling in two-dimensional (2D) electron and hole systems, using the diagrammatic method for calculating the spin…

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

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

We derive boundary conditions for the coupled spin-charge diffusion equations at a transmitting interface between two-dimensional electron systems with different strengths of the Rashba spin-orbit (SO) coupling $\alpha$, and an electric…

Materials Science · Physics 2009-11-11 Yaroslav Tserkovnyak , Bertrand I. Halperin , Alexey A. Kovalev , Arne Brataas

Changes dopant ion concentrations in the sides of a symmetric quantum well are known to create a random Rashba-type spin-orbit coupling. Here we demonstrate that, as a consequence, a finite size spin-Hall effect is also present. Our…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 C. P. Moca , D. C. Marinescu , S. Filip

In a two-dimensional electron gas as realized by a semiconductor quantum well, the presence of spin-orbit coupling of both the Rashba and Dresselhaus type leads to anisotropic dispersion relations and Fermi contours. We study the effect of…

Condensed Matter · Physics 2009-11-10 John Schliemann , Daniel Loss

We study the anomalous Hall conductivity in spin-polarized, asymmetrically confined two-dimensional electron and hole systems, focusing on skew-scattering contributions to the transport. We find that the skew scattering, principally…

We calculate the intrinsic spin Hall conductivity \sigma^{\mathrm{sH}} of a two-dimensional electron system within a generalized Rashba model, showing that it is, in general, finite and model-dependent. Considering arbitrary band…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 P. L. Krotkov , S. Das Sarma

We investigate spin transport of heavy holes in III-V semiconductor quantum wells in the presence of spin-orbit coupling of the Rashba type due to structure-inversion asymmetry. Similarly to the case of electrons, the longitudinal spin…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John Schliemann , Daniel Loss

Based on numerical study of the Rashba model, we show that the spin Hall conductance remains finite in the presence of disorder up to a characteristic length scale, beyond which it vanishes exponentially with the system size. We further…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , L. Sheng , Z. Y. Weng , F. D. M. Haldane

We study the disorder effect of resonant spin Hall effect in a two-dimension electron system with Rashba coupling in the presence of a tilted magnetic field. The competition between the Rashba coupling and the Zeeman coupling leads to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-04 Zhan-Feng Jiang , Shun-Qing Shen , Fu-Chun Zhang

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