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The spin Hall effect (SHE), which converts a charge current into a transverse spin current, has long been believed to be a phenomenon induced by the spin--orbit coupling. Here, we propose an alternative mechanism to realize the intrinsic…

Materials Science · Physics 2021-06-22 Yang Zhang , Jakub Zelezny , Yan Sun , Jeroen van den Brink , Binghai Yan

We investigate the spin Hall effect (SHE) in a wide class of spin-orbit coupling systems by using spin force picture. We derive the general relation equation between spin force and spin current and show that the longitudinal force component…

Mesoscale and Nanoscale Physics · Physics 2016-02-11 Cong Son Ho , Mansoor B. A. Jalil , Seng Ghee Tan

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 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

The quantum spin Hall (QSH) effect in the DC regime, which has been intensively researched, relies on the existence of symmetry-protected edge states. Here, we demonstrate that a QSH system behaves quite differently in response to an…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 W. Y. Deng , H. Geng , Wei Luo , Wei Chen , L. Sheng , D. N. Sheng , D. Y. Xing

The spin-orbit coupling influences the total spin of semiconductor quantum dots. We analyze the theoretical prediction for the combined effects of spin-orbit coupling, weak vertical magnetic fields and deformation of the dot. Our results…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Manuel Valin-Rodriguez , Antonio Puente , Llorens Serra , Enrico Lipparini

Recent experiments demonstrate that antiferromagnets exhibit the spin Hall effect. We study a tight-binding model of an antiferromagnet on a square lattice with Rashba spin-orbit coupling and disorder. By exact diagonalization of a finite…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Sverre A. Gulbrandsen , Camilla Espedal , Arne Brataas

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

Geometric Berry phase can be induced either by spin-orbit coupling, giving rise to the anomalous Hall effect in ferromagnetic materials, or by chiral spin texture, such as skyrmions, leading to the topological Hall effect. Recent…

Mesoscale and Nanoscale Physics · Physics 2018-09-10 Jian-Xiao Zhang , Domenico Andreoli , Jiadong Zang , Chao-Xing Liu

By associating a spin-orbit interaction with a non-Abelian gauge potential, we theoretically present a spin polarization in a quite general form using an effective Yang-Mills field and a usual electromagnetic field. In this gauge invariant…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Akihito Takeuchi , Naoto Nagaosa

Spin transport properties of a coupled bilayer electron gas with Rashba spin-orbit coupling are studied. The definition of the spin currents in each layer as well as the corresponding continuity-like equations in the bilayer system are…

Mesoscale and Nanoscale Physics · Physics 2007-12-22 Pei-Qing Jin , You-Quan Li

We observe the magnetic oscillation of electric conductance in the two-dimensional InAs/GaSb quantum spin Hall insulator. Its insulating bulk origin is unambiguously demonstrated by the antiphase oscillations of the conductance and the…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 Zhongdong Han , Tingxin Li , Long Zhang , Gerard Sullivan , Rui-Rui Du

We study the anomalous Hall effect on the antiferromagnetic coloring-triangular lattice with a coplanar magnetic configuration in presence of a spin-orbit interaction. The effect of the spin-orbit coupling is included at effective level as…

Strongly Correlated Electrons · Physics 2022-07-20 A. C. Duran , S. A. Osorio , M. B. Sturla

Quantum Spin-Hall systems are topological insulators displaying dissipationless spin currents flowing at the edges of the samples. In contradistinction to the Quantum Hall systems where the charge conductance of the edge modes is quantized,…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Emil Prodan

The magnetic spin Hall effect arises from a reactive counterpart of the dissipative spin response that is responsible for the ordinary spin Hall effect. This interpretation is supported by the dependence of spin Hall effect signals on the…

Mesoscale and Nanoscale Physics · Physics 2024-11-27 José Holanda

We investigate the effects of spin-orbit coupling on the optical response of materials. In particular, we study the effects of the commutator between the spin-orbit coupling part of the potential and the position operator on the optical…

Materials Science · Physics 2018-12-18 Tae Yun Kim , Andrea Ferretti , Cheol-Hwan Park

Quantum spin Hall (QSH) insulators are two-dimensional electronic materials that have a bulk band gap like an ordinary insulator but have topologically protected pairs of edge modes of opposite chiralities. To date, experimental studies…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 Kaifei Kang , Bowen Shen , Yichen Qiu , Kenji Watanabe , Takashi Taniguchi , Jie Shan , Kin Fai Mak

We have shown that the non-Abelian spin-orbit gauge field strength of the Rashba and Dresselhaus interactions, when split into two Abelian field strengths, the Hamiltonian of the system can be re-expressed as a Landau level problem with a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 B. Basu , P. Bandyopadhyay

We present the theory of a new type of topological quantum order which is driven by the spin-orbit density wave order parameter, and distinguished by $Z_2$ topological invariant. We show that when two oppositely polarized chiral bands…

Mesoscale and Nanoscale Physics · Physics 2017-04-26 Gaurav Kumar Gupta , Tanmoy Das

The quantized version of the anomalous Hall effect has been predicted to occur in magnetic topological insulators, but the experimental realization has been challenging. Here, we report the observation of the quantum anomalous Hall (QAH)…

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