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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…

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 present an extension of the relativistic electron transport theory for the standard (charge) conductivity tensor of random alloys within the tight-binding linear muffin-tin orbital method to the so-called spin-dependent conductivity…

Materials Science · Physics 2019-11-18 Ilja Turek , Josef Kudrnovsky , Vaclav Drchal

The electrical resistivities of Fe-Co alloys owing to random alloy disorder are calculated using the Kubo-Greenwood formula. The obtained electrical esistivities agree well with experimental data quantitatively at low temperature. The…

Materials Science · Physics 2009-03-24 Yohei Kota , Tomohiro Takahashi , Hiroki Tsuchiura , Akimasa Sakuma

A scheme to calculate the electronic structure of systems having a spiral magnetic structure is presented. The approach is based on the KKR (Korringa-Kohn-Rostoker) Green's function formalism which allows in combination with CPA (Coherent…

Strongly Correlated Electrons · Physics 2013-08-08 S. Mankovsky , G. H. Fecher , H. Ebert

It is shown that the interplay of long-range disorder and in-plane magnetic field gives rise to an out-of-plane spin polarization and a finite spin Hall conductivity of the two-dimensional electron gas in the presence of Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Milletari' , R. Raimondi , P. Schwab

Within the Kubo-Greenwood formalism we use the fully relativistic, spin-polarized, screened Korringa-Kohn-Rostoker method together with the coherent-potential approximation for layered systems to calculate the resistivity for the permalloy…

Materials Science · Physics 2009-10-31 C. Blaas , L. Szunyogh , P. Weinberger , C. Sommers , P. M. Levy

In disordered systems, the hopping conductivity regime is usually realized at low temperatures where spin-related phenomena differ strongly from the case of delocalized carriers. We develop the unified microscopic theory of current induced…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 D. S. Smirnov , L. E. Golub

Theoretical predictions and recent experimental results suggest one can engineer spin Hall effect in graphene by enhancing the spin-orbit coupling in the vicinity of an impurity. We use a Chebyshev expansion of the Kubo-Bastin formula to…

Mesoscale and Nanoscale Physics · Physics 2016-07-01 Jose H. Garcia , Tatiana G. Rappoport

Spin and electric Hall currents are calculated numerically in a two-dimensional mesoscopic system with Rashba and Dresselhaus spin-orbit coupling by means of the Landauer-Buttiker formalism. It is found that both electric and spin Hall…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jian Li , Liangbin Hu , Shun-Qing Shen

The effect of spin-disorder scattering on perpendicular transport in a magnetic monolayer is considered within the single-site Coherent Potential Approximation (CPA). The exchange interaction between a conduction electron and localized…

Disordered Systems and Neural Networks · Physics 2009-11-07 Alireza Saffarzadeh

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

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

A new method is presented that allows for efficient evaluation of spin-orbit coupling (SOC) in density-functional theory calculations. In the so-called second-variational scheme, where Kohn-Sham functions obtained in a scalar-relativistic…

Materials Science · Physics 2023-06-06 Cecilia Vona , Sven Lubeck , Hannah Kleine , Andris Gulans , Claudia Draxl

We study a tight binding model including both on site disorder and coupling of the electrons to randomly oriented magnetic moments. The transport properties are calculated via the Kubo-Greenwood scheme, using the exact eigenstates of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Sanjeev Kumar , Pinaki Majumdar

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

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

We present a detailed microscopic theory of the conserved spin current which is introduced by us [Phys. Rev. Lett. \textbf{96}, 196602 (2006)] and satisfies the spin continuity equation even for spin-orbit coupled systems. The spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ping Zhang , Zhigang Wang , Junren Shi , Di Xiao , Qian Niu

The spin Hall effect in a two-dimensional electron system on honeycomb lattice with both intrinsic and Rashba spin-orbit couplings is studied numerically. Integer quantized spin Hall conductance is obtained at zero Rashba coupling limit…

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

For certain non-magnetic solids with low symmetry the occurrence of spin-polarized longitudinal currents is predicted. These arise due to an interplay of spin-orbit interaction and the particular crystal symmetry. This result is derived…

Mesoscale and Nanoscale Physics · Physics 2015-07-08 S. Wimmer , M. Seemann , K. Chadova , D. Ködderitzsch , H. Ebert
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