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We find that in order to completely describe the spin transport, apart from spin current (or linear spin current), one has to introduce the angular spin current. The two spin currents respectively describe the translational and rotational…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Qing-feng Sun , X. C. Xie

This article discusses spin transport in systems with spin-orbit interactions and how it can be understood in a semiclassical picture. I will first present a semiclassical wave-packet description of spin transport, which explains how the…

Mesoscale and Nanoscale Physics · Physics 2009-04-15 Dimitrie Culcer

The conventional definition of spin-current, namely spin density multiplied by the group velocity, is not a conserved quantity due to possible spin rotations caused by spin-orbit (SO) interaction. However, in a model with spin-spin…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jian Wang , Baigeng Wang , Wei Ren , Hong Guo

This article reviews steady-state spin densities and spin currents in materials with strong spin-orbit interactions. These phenomena are intimately related to spin precession due to spin-orbit coupling which has no equivalent in the steady…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Dimitrie Culcer

Starting from a continuum constituted by charged tops, we formulate the classical counterpart of a previously obtained covariant continuity-like equation for the spin current. Such a formulism provides an intuitive picture to elucidate the…

Mesoscale and Nanoscale Physics · Physics 2008-04-19 Pei-Qing Jin , You-Quan Li

For an electron, a spin-1/2 particle, the spin charge $\mathbf{s}$, a real pseudovector with constant length, could determine the spin polarization properties in quantum mechanics. Since spin density $\rho_{\mathbf{s}}$ could be expressed…

Mesoscale and Nanoscale Physics · Physics 2009-04-28 Xiang Zhou , Zhenyu Zhang , Cheng-Zheng Hu

In the presence of spin-orbit interactions, the steady state established for spin distributions in an electric field is qualitatively different from the steady state for charge distributions. This is primarily because the steady state…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dimitrie Culcer , Roland Winkler

The conventional definition of spin current is incomplete and unphysical in describing spin transport in systems with spin-orbit coupling. A proper and measurable spin current is established in this study, which fits well into the standard…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Junren Shi , Ping Zhang , Di Xiao , Qian Niu

Spin-orbit coupling induces a current density in the ground state, which consequently requires a generalization for meta-generalized gradient approximations. That is, the exchange-correlation energy has to be constructed as an explicit…

Chemical Physics · Physics 2024-05-09 Yannick J. Franzke , Christof Holzer

We find that in order to completely describe the spin transport, apart from spin current (or linear spin current), one has to introduce the angular spin current. The two spin currents respectively describe the translational and rotational…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Qing-feng Sun , X. C. Xie

We present a simple and pedagogical derivation of the spin current as the linear response to an external electric field for both Rashba and Luttinger spin-orbital coupling Hamiltonians. Except for the adiabatic approximation, our derivation…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jiangping Hu , Bogdan A. Bernevig , Congjun Wu

The spin current $J_{S}$, orbit angular momentum current $J_{L}$ and total angular momentum current $J_{J}$ in a dyad form have been universally defined according to quantum electrodynamics. Their conservation quantities and the continuity…

Mesoscale and Nanoscale Physics · Physics 2011-12-30 Zhe An , Fuqing Liu , Chang Liu

We have described electron spin dynamics in the presence of the spin-orbit interaction and disorder using the spin-density matrix method. Exact solution is obtained for an arbitrary 2D spin-orbit Hamiltonian and arbitrary smoothness of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander Khaetskii

The spin-orbit coupling systems with a zero magnetic field is studied under the equilibrium situation, {\it i.e.}, without a voltage bias. A persistent spin current is predicted to exist under most circumstances, although the persistent…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Qing-feng Sun , X. C. Xie

We compare and contrast magneto-transport oscillations in the fully quantum (single-electron coherent) and classical limits for a simple but illustrative model. In particular, we study the induced magnetization and spin current in a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Martin Y. Veillette , Cristina Bena , Leon Balents

Using response theory, we calculate the charge-current vortex generated by spin pumping at a point-like contact in a system with Rashba spin-orbit coupling. We discuss the spatial profile of the current density for finite temperature and…

Mesoscale and Nanoscale Physics · Physics 2021-07-01 Junji Fujimoto , Florian Lange , Satoshi Ejima , Tomonori Shirakawa , Holger Fehske , Seiji Yunoki , Sadamichi Maekawa

The semiclassical Boltzmann transport equation of charged, massive fermions in a rotating frame of reference, in the presence of external electromagnetic fields is solved in the relaxation time approach to establish the distribution…

Mathematical Physics · Physics 2018-03-02 O. F. Dayi , E. Yunt

Quantum dot spin valves are characterized by exchange fields which induce spin precession and generate current spin resonances even in absence of spin splitting. Analogous effects have been studied in double quantum dots, in which the…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Christoph Rohrmeier , Andrea Donarini

Recent achievements in semiconductor spintronics are discussed. Special attention is paid to spin-orbit interaction, coupling of electron spins to external electric fields, and spin transport in media with spin-orbit coupling, including the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Emmanuel I. Rashba

Spin current, a key concept in spintronics that carries spin angular momentum, has a non-unique definition due to the non-conservation of spins in solids. While two primary definitions exist -- conventional spin current and conserved spin…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Tomohiro Tamaya , Takeo Kato , Takahiro Misawa
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