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Spin-orbit interactions in two-dimensional electron liquids are responsible for many interesting transport phenomena in which particle currents are converted to spin polarizations and spin currents and viceversa. Prime examples are the spin…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 K. Shen , R. Raimondi , G. Vignale

Controlling the spin dynamics and spin lifetimes is one of the main challenges in spintronics. To this end, the study of the spin diffusion in two-dimensional electron gases (2DEGs) shows that when the Rashba and Dresselhaus spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 I. R. de Assis , R. Raimondi , G. J. Ferreira

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 study the spin-dependent electronic transport through a one-dimensional ballistic quantum wire in the presence of Rashba spin-orbit interaction. In particular, we consider the effect of the spin-orbit interaction resulting from the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. E. Birkholz , V. Meden

We study the interplay between electron-electron interaction and Rashba spin-orbit coupling in the two-dimensional electron gas. Using the random phase approximation we predict new screening properties of the electron gas which result in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pletyukhov , V. Gritsev

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 consider the diffusive spin dynamics of a 2D electron gas with spin-orbit coupling confined within a grid of narrow channels. We show that the lifetime of certain spin distributions in such grids greatly exceeds that in an unconfined 2D…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 A. V. Poshakinskiy

Rashba spin-orbit coupling emerges in materials lacking of structural inversion symmetry, such as heterostructures, quantum wells, surface alloys and polar materials, just to mention few examples. It yields a coupling between the spin and…

Mesoscale and Nanoscale Physics · Physics 2017-08-31 Valentina Brosco , Claudio Grimaldi , Emmanuele Cappelluti , Lara Benfatto

Spin distribution in the diffraction pattern of two-dimensional electron gas by a split gate and a quantum point contact is computed in the presence of the spin-orbit coupling. After diffracted, the component of spin perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Cheng-Ju Lin , Chyh-Hong Chern

We present calculations of the frequency-dependent spin susceptibility tensor of a two-dimensional electron gas with competing Rashba and Dresselhaus spin-orbit interaction. It is shown that the interplay between both types of spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Catalina López-Bastidas , Jesús A. Maytorena , Francisco Mireles

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

The transport equations for a two-dimensional electron gas with spin-orbit interaction are presented. The distribution function is a 2x2-matrix in the spin space. Particle and energy conservation laws determine the expressions for the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko , B. I. Halperin

The ac conductance of a finite tubular two-dimensional electron gas is studied in the presence of the Rashba spin-orbit interaction. When the tube is coupled to two reservoirs, that interaction splits the steps in the dc current,…

Mesoscale and Nanoscale Physics · Physics 2014-12-24 E. A. Rothstein , B. Horovitz , O. Entin-Wohlman , A. Aharony

We discuss by analytic means the theory of the high-density limit of the unpolarized two-dimensional electron liquid in the presence of Rashba or Dresselhaus spin-orbit coupling. A generalization of the ring-diagram expansion is performed.…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Stefano Chesi , Gabriele F. Giuliani

The non-equilibrium transportation of two-dimensional electrons through a narrow channel is investigated under the influence of the Rashba interaction. By introducing suitable lifetime in the Green's function, the average spin values can be…

Mesoscale and Nanoscale Physics · Physics 2010-11-16 Yi-Ying Chin , Jui-Yu Chiu , Ming-Che Chang , Chung-Yu Mou

The problem of scattering of the two-dimensional electron gas on the lateral one-dimensional superlattice both having different strengths of Rashba spin-orbit coupling is investigated. The scattering is considered for all the electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. V. Khomitsky

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 derive the transport equations for two-dimensional electron systems with spin-orbit interaction and short-range spin-independent disorder. In the limit of slow spatial variations of the electron distribution we obtain coupled diffusion…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko , A. V. Shytov , B. I. Halperin

We investigate the spin diffusion and transport in a graphene monolayer on SiO$_2$ substrate by means of the microscopic kinetic spin Bloch equation approach. The substrate causes a strong Rashba spin-orbit coupling field $\sim 0.15$ meV,…

Mesoscale and Nanoscale Physics · Physics 2011-07-07 P. Zhang , M. W. Wu

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