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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

Larmor's theorem holds for magnetic systems that are invariant under spin rotation. In the presence of spin-orbit coupling this invariance is lost and Larmor's theorem is broken: for systems of interacting electrons, this gives rise to a…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Shahrzad Karimi , Florent Baboux , Florent Perez , Carsten A. Ullrich , Grzegorz Karczewski , Tomasz Wojtowicz

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

We study the transverse electron focusing in a two dimensional electron gas with Rashba spin-orbit coupling. We show that the interplay between the external magnetic field and the spin-orbit coupling gives two branches of states with…

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

We study the scattering of an electron in a definite state of spin at an interface of an hybrid system with a Rashba spin-orbit coupling on one side. Out of the normal incidence the double refraction phenomenon appears, with one or two…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Marigliano Ramaglia , V. Cataudella , G. De Filippis , C. A. Perroni , F. Ventriglia

Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit interactions of Rashba type are formally derived from a collisional Wigner equation. The collisions are modeled by a Bhatnagar-Gross-Krook-type operator…

Analysis of PDEs · Mathematics 2021-09-21 Luigi Barletti , Philipp Holzinger , Ansgar Jüngel

We consider a helical system of fermions with a generic spin (or pseudospin) orbit coupling. Using the equation of motion approach for the single-particle distribution functions, and a mean-field decoupling of the higher order distribution…

Strongly Correlated Electrons · Physics 2017-12-13 Moslem Mir , Saeed H. Abedinpour

We show that the dissipationless spin current in the ground state of the Rashba model gives rise to a reactive coupling between the spin and charge propagation, which is formally identical to the coupling between the electric and the…

Materials Science · Physics 2009-11-10 B. Andrei Bernevig , Xiaowei Yu , Shou-Cheng Zhang

The Rashba effect is one of the most striking manifestations of spin-orbit coupling in solids, and provides a cornerstone for the burgeoning field of semiconductor spintronics. It is typically assumed to manifest as a momentum-dependent…

Electrons with spin-orbit coupling moving in mesoscopic structures can often exhibit local spin polarization. In this paper, we study the influence of the Rashba coupling on the scattering of two-dimensional electrons from a circular disk.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Jr-Yu Yeh , Chung-Yu Mou , Ming-Che Chang

The effect of in-plane electric field on Landau level spacing, spin splitting energy, average spin polarization and average spin current in the bulk as well as at the edges of a two-dimensional electron system with Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2013-05-14 SK Firoz Islam , Tarun Kanti Ghosh

We have studied transport properties in a two-dimensional electron gas with equal Rashba and Dresselhaus spin-orbit interactions under a perpendicular magnetic field. By employing the exact solution for this system, we found resonant charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Degang Zhang , Yao-Ming Mu , C. S. Ting

The theory of spin drift and diffusion in two-dimensional electron gases is developed in terms of a random walk model incorporating Rashba, linear and cubic Dresselhaus, and intersubband spin-orbit couplings. The additional subband degree…

Mesoscale and Nanoscale Physics · Physics 2017-03-20 Gerson J. Ferreira , Felix G. G. Hernandez , Patrick Altmann , Gian Salis

By associating a spin-orbit interaction with a non-Abelian gauge potential, we theoretically present a spin polarization in a quite general form using an effective Yang-Mills field and a usual electromagnetic field. In this gauge invariant…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Akihito Takeuchi , Naoto Nagaosa

We study the relaxation of a spin density injected into a two-dimensional electron system with generic spin-orbit interactions. Our model includes the Rashba as well as linear and cubic Dresselhaus terms. We explicitly derive a general…

Materials Science · Physics 2013-05-29 Tudor D. Stanescu , Victor Galitski

Based on a rigorous quantum-kinetic approach, spin-charge coupled drift-diffusion equations are derived for a strongly confined two-dimensional hole gas. An electric field leads to a coupling between the spin and charge degrees of freedom.…

Statistical Mechanics · Physics 2009-11-13 P. Kleinert , V. V. Bryksin

We show that a result equivalent to Overhauser's famous Hartree-Fock instability theorem can be established for the case of a two-dimensional electron gas in the presence of Rashba spin-obit coupling. In this case it is the spatially…

Mesoscale and Nanoscale Physics · Physics 2010-08-12 George E. Simion , Gabriele F. Giuliani

We study the effects of the Rashba spin-orbit coupling on the polaron formation, using a suitable generalization of the Momentum Average approximation. Contrary to previous investigations of this problem, we find that the spin-orbit…

Strongly Correlated Electrons · Physics 2015-05-13 Lucian Covaci , Mona Berciu

We investigate the magnetoelectric (or inverse spin-galvanic) effect in the two dimensional electron gases with both Rashba and Dresselhaus spin-orbit coupling using an exact solution of the Boltzmann equation for electron spin and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Maxim Trushin , John Schliemann

We study the edge states in a two dimensional electron gas with a transverse magnetic field and Rashba spin-orbit coupling. In the bulk, the interplay between the external field perpendicular to the gas plane and the spin-orbit coupling…

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