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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 Drude model of spin dynamics in two-dimensional spin-orbit coupled systems. In the absence of an applied electric field, the spin aligns with the k-dependent effective magnetic field. The influence of disorder (the…

Mesoscale and Nanoscale Physics · Physics 2020-12-14 Tsung-Wei Chen , Hsiu-Chuan Hsu

The Kubo formula for the electrical conductivity is rewritten in terms of a sum of Drude-like contributions associated to the exact eigenstates of the interacting system, each characterized by its own frequency-dependent relaxation time.…

Other Condensed Matter · Physics 2014-08-01 G. De Filippis , V. Cataudella , A. de Candia , A. S. Mishchenko , N. Nagaosa

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…

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

Kubo formula is used to get the d.c conductance of a statistical ensemble of two-dimensional clusters of the square lattice in the presence of standard diagonal disorder, a uniform magnetic field and random magnetic fluxes. Working within a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. A. Verges

Magnetic effects originating from spin-orbit coupling (SOC) have been attracting major attention. However, SOC contributions to the electron magnetic moment operator are conventionally disregarded. In this work, we analyze relativistic…

Mesoscale and Nanoscale Physics · Physics 2026-04-13 I. A. Ado , M. Titov , Rembert A. Duine , Arne Brataas

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

It is well known that the Dresselhaus spin-orbit coupling (SOC) in semiconductor two dimensional electron gases (2DEGs) possesses both linear and cubic in momentum contributions. Nevertheless, the latter is usually neglected in most…

Mesoscale and Nanoscale Physics · Physics 2023-03-06 E. Santana-Suárez , F. Mireles

We investigate the spin-Hall effect of both electrons and holes in semiconductors using the Kubo formula in the correct zero-frequency limit taking into account the finite momentum relaxation time of carriers in real semiconductors. This…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 John Schliemann , Daniel Loss

We present magnetotransport calculations for homogeneous two-dimensional electron systems including the Rashba spin-orbit interaction, which mixes the spin-eigenstates and leads to a modified fan-chart with crossing Landau levels. The…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 M. Langenbuch , M. Suhrke , U. Rössler

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 have explored the multi-component structure of electrical conductivity of relativistic Fermionic and Bosonic fluid in presence of magnetic field by using Kubo approach. This is done by explicitly evaluating the thermo-magnetic vector…

High Energy Physics - Phenomenology · Physics 2021-10-04 Sarthak Satapathy , Snigdha Ghosh , Sabyasachi Ghosh

In this expository article, we present a systematic formal derivation of the Kubo formula for the linear-response current due to a time-harmonic electric field applied to non-interacting, spinless charged particles in a finite volume in the…

Mathematical Physics · Physics 2023-08-15 Alexander B. Watson , Dionisios Margetis , Mitchell Luskin

We investigate spin transport in 2-dimensional insulators, with the long-term goal of establishing whether any of the transport coefficients corresponds to the Fu-Kane-Mele index which characterizes 2d time-reversal-symmetric topological…

Mathematical Physics · Physics 2019-09-09 Giovanna Marcelli , Gianluca Panati , Clément Tauber

We study the extra term of particle current in a 2D k-cubic Rashba spin-orbit coupling system and the integer quantization of the Hall conductance in this system. We provide a correct formula of charge current in this system and the careful…

Mesoscale and Nanoscale Physics · Physics 2008-06-23 Yi Li , Tianxing Ma , Ruibao Tao

We present calculations of the conductivity tensor \sigma of a 2D-system with the Rashba spin-orbit interaction (SOI) in an orthogonal magnetic field, with allowance for electron elastic scattering by a Gaussian \delta-correlated random…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. G. Novokshonov , A. G. Groshev

The spin Hall effect of a Dirac Hamiltonian system is studied using semiclassical analyses and the Kubo formula. In this system, the spin Hall conductivity is dependent on the definition of spin current. All components of the spin Hall…

Mesoscale and Nanoscale Physics · Physics 2022-09-02 Zhendong Chi , Guanxiong Qu , Yong-Chang Lau , Masashi Kawaguchi , Junji Fujimoto , Koki Takanashi , Masao Ogata , Masamitsu Hayashi

In model studies of the spin/anomalous Hall effect, effective Hamiltonians often serve as the starting point. However, a complete effective quantum theory contains not only the effective Hamiltonian but also the relation linking the…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Cong Xiao , Bangguo Xiong , Fei Xue

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
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