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We consider the spin-Hall current in a disordered two-dimensional electron gas in the presence of Rashba spin-orbit interaction. We derive a generalized Kubo-Greenwood formula for the spin-Hall conductivity $\sigma$ and evaluate it in an…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Oleg Chalaev , Daniel Loss

We report on a comparative numerical study of the spin Hall conductivity in two-dimensions for three different spin-orbit interaction models; the standard k-linear Rashba model, the k-cubic Rashba model that describes two-dimensional hole…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. Nomura , Jairo Sinova , N. A. Sinitsyn , A. H. MacDonald

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

The Kubo formula is used to calculate the spin-Hall conductivity in a spin-polarized two-dimensional electron system with Rashba-type spin-orbit interaction. As in the case of the unpolarized electron system, spin Hall conductivity is…

Materials Science · Physics 2009-11-13 C. P. Moca , D. C. Marinescu

Within the Kubo formalism, we estimate the spin-Hall conductivity in a two-dimensional electron gas with Rashba spin-orbit interaction and study its variation as a function of disorder strength and system size. The numerical algorithm…

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

We revise the Kubo formula for the electric dc conductivity in the presence of spin-orbit coupling (SOC). We discover that each velocity operator that enters this formula differs from $\partial H/\partial \boldsymbol p$, where $H$ is the…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 I. A. Ado , M. Titov , Rembert A. Duine , Arne Brataas

The coupled kinetic equation for density and spin Wigner functions are derived including spin-orbit coupling, electric and magnetic field as well as selfconsistent Hartree meanfields suited for SU(2) transport. The interactions are assumed…

Strongly Correlated Electrons · Physics 2015-12-23 K. Morawetz

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 report an unconventional behavior of electron transport in the limit of zero magnetic flux in a one-dimensional disordered ring, be it completely random or any correlated one, subjected to Rashba spin-orbit (SO) coupling. It exhibits…

Mesoscale and Nanoscale Physics · Physics 2016-12-20 Moumita Patra , Santanu K. Maiti

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

The spin Hall and longitudinal conductivity of a 2D heavy-hole gas with {\it k}-cubic Rashba and Dresselhaus spin-orbit interaction is studied in the ac frequency domain. Using Kubo linear-response theory and a recently proposed definition…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Arturo Wong , Francisco Mireles

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

The traditional Kubo formula is generalized to describe the linear response with respect to non-Abelian fields. To fulfil the demand for studying spin transport, the SU(2) Kubo formulae are derived by two conventional approaches with…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Pei-Qing Jin , You-Quan Li

We investigate the spin dynamics in the two-dimensional spin-orbit coupled system subject to an in-plane ($x$-$y$ plane) constant electric field, which is assumed to be turned on at the moment $t=0$. The equation of spin precession in…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Tsung-Wei Chen , Zhi-Yang Huang , Dah-Wei Chiou

We determine wave number $q$ and frequency $\omega$ dependent spin Hall conductivity $\sigma_{yx}^s(q, \omega)$ for a disordered two dimensional electron system with Rashba spin orbit interaction when $\q$ is {\it transverse} to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sudhansu S. Mandal , Ankur Sensharma

Using the four-terminal Landauer-B\"{u}ttiker formula and Green's function approach, we calculate numerically the spin-Hall conductance in a two-dimensional junction system with the Rashba spin-orbit (SO) coupling and disorder. We find that…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. Sheng , D. N. Sheng , C. S. Ting

A semiclassical constrained Hamiltonian system which was established to study dynamical systems of matrix valued non-Abelian gauge fields is employed to formulate spin Hall effect in noncommuting coordinates at the first order in the…

High Energy Physics - Theory · Physics 2009-12-10 O. F. Dayi , M. Elbistan

Electron spin precession in nonuniform Rashba-Dresselhaus two-dimensional electron systems along arbitrary continuous paths is investigated. We derive an analytical formula to describe the spin vectors (expectation values of the injected…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ming-Hao Liu , Ching-Ray Chang

By using the momentum-space Lanczos recursive method which considers rigorously all multiple-scattering events, we unveil that the non-perturbative disorder effect has dramatic impact on the charge transport of a two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Weiwei Chen , Cong Xiao , Qinwei Shi , Qunxiang Li

We theoretically study the renormalization of inertial effects on the spin dependent transport of conduction electrons in a semiconductor by taking into account the interband mixing on the basis of k.p perturbation theory. In our analysis,…

Mesoscale and Nanoscale Physics · Physics 2013-09-06 B. Basu , Debashree Chowdhury
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