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A theory based on the Aharonov -Bohm effect in the momentum space for the Spin-Hall conductivity without a magnetic field is presented. The two dimensional Rashba Hamiltonian is diagonalized in the momentum spinor basis. This spinor is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Schmeltzer

The scalar spin chirality, which characterizes the fundamental unit of noncoplanar spin structures, plays an important role in rich chiral physics of magnetic materials. In particular, the intensive research efforts over the past two…

Mesoscale and Nanoscale Physics · Physics 2024-11-07 Gyungchoon Go , Durga Prasad Goli , Nanse Esaki , Yaroslav Tserkovnyak , Se Kwon Kim

Spin Hall effect (SHE) has been discussed in the context of Kubo formulation, geometric physics, spin orbit force, and numerous semi-classical treatments. It can be confusing if the different pictures have partial or overlapping claims of…

Mesoscale and Nanoscale Physics · Physics 2016-01-22 Seng Ghee Tan , Mansoor B. A. Jalil , Congson Ho , Zhuobin Siu , Shuichi Murakami

The transport properties of non-trivial spin textures are coming under closer scrutiny as the amount of experimental data and theoretical simulations is increasing. To extend the commonly accepted yet simplifying and approximate picture of…

Mesoscale and Nanoscale Physics · Physics 2021-12-02 Jonathan Kipp , Fabian R. Lux , Yuriy Mokrousov

Spin-1 chiral semimetal is a new state of quantum matter hosting unconventional chiral fermions that extend beyond the common Dirac and Weyl fermions. B20-type CoSi is a prototypal material that accommodates such an exotic quasiparticle. To…

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

We theoretically investigate the spin Hall conductivity (SHC) in topological Dirac semimetals (TDSMs) whose Dirac points are protected by rotational symmetry. On the basis of a general phase diagram of the system with time-reversal,…

Mesoscale and Nanoscale Physics · Physics 2020-06-03 Katsuhsia Taguchi , Daisuke Oshima , Yusuke Yamaguchi , Tatsuki Hashimoto , Yukio Tanaka , Masatoshi Sato

The spin-Hall conductivity in spatially-homogeneous two-dimensional electron systems described by the spin-orbit Hamiltonian \hbar \Omega_p \sigma is presented as a sum of the universal part Me/8 \pi \hbar determined by the Berry phase…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 O. E. Raichev

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

We theoretically investigate the bilinear current, scaling as $j\sim EB$, in two- and three-dimensional systems. Based on the extended semiclassical theory, we develop a unified theory including both longitudinal and transverse currents. We…

Mesoscale and Nanoscale Physics · Physics 2024-04-12 Zhanyunxin Du , Yue-Xin Huang , Xiao Li

The two dimensional Rashba Hamiltonian is investigated using the momentum representation.One finds that the SU(2) transformation which diagonalizes the Hamiltonian gives rise to non commuting Cartesian coordinates for K=0 and zero…

Strongly Correlated Electrons · Physics 2007-05-23 D. Schmeltzer

This thesis predicts that two types of material families could be a solution to the challenges in spintronics: complex oxides and bismuth based materials. We derive a general approach for constructing an effective spin-orbit Hamiltonian,…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Cüneyt Şahin

We study the intrinsic spin Hall conductivity (SHC) and the $d$-orbital Hall conductivity (OHC) in metallic $d$-electron systems based on the multiorbital tight-binding model. The obtained Hall conductivities are much larger than that in…

Strongly Correlated Electrons · Physics 2009-11-13 T. Tanaka , H. Kontani , M. Naito , D. S. Hirashima , K. Yamada , J. Inoue

We study Dirac fermions in the presence of a space-dependent chiral gauge field and thermodynamic gradients, establishing a connection to the inverse spin Hall effect. The chiral gauge field induces a chiral magnetic field, resulting in a…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Hung-Hsuan Teh , Tokiro Numasawa , Shun Okumura , Takashi Oka

Using the microscopic theory of the conserved spin current [Phys. Rev. Lett. \textbf{96}, 076604 (2006)], we investigate the spin Hall effect in the two dimensional electron gas system with a perpendicular magnetic field. The spin Hall…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Zhigang Wang , Ping Zhang

Motivated by recent interest in novel spintronics effects, we develop a semiclassical theory of spin transport that is valid for spin-orbit coupled bands. Aside from the obvious convective term in which the average spin is transported at…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Dimitrie Culcer , Jairo Sinova , N. A. Sinitsyn , T. Jungwirth , A. H. MacDonald , Q. Niu

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

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 study the linear response of a spin current to a small electric field in a two-dimensional crystalline insulator with non-conserved spin. We adopt the spin current operator proposed in [J. Shi et al., Phys. Rev. Lett. 96, 076604 (2006)],…

Mesoscale and Nanoscale Physics · Physics 2023-02-06 Domenico Monaco , Lara Ulčakar

In this paper, we focus on the connection between spin Hall effect and spin force. Here we investigate that the spin force due to spin-orbit coupling, which in two-dimensional system is equivalent to forces of Hirsch and Chudnovsky besides…

Mesoscale and Nanoscale Physics · Physics 2014-10-14 Yong Tao