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We derive the spin continuity equation by using the Noether's theorem. A new type of spin-tensor Hall current is found in the continuity equation. The spin-tensor Hall current is originating from the coupling of the spin-tensor and the…

Mesoscale and Nanoscale Physics · Physics 2020-02-04 Yong-Ping Fu , Fei-Jie Huang , QI-Hui Chen

Following a previous work [Shen, Ma, Xie and Zhang, Phys. Rev. Lett. 92, 256603 (2004)] on the resonant spin Hall effect, we present detailed calculations of the spin Hall conductance in two-dimensional quantum wells in a strong…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shun-Qing Shen , Yun-Juan Bao , Michael Ma , X. C. Xie , Fu Chun Zhang

We show that the spin Hall conductivity in insulators is related with a magnetic susceptibility representing the strength of the spin-orbit coupling. We use this relationship as a guiding principle to search real materials showing quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shuichi Murakami

We propose an all-electrical nanoscopic structure where {\em pure} spin current is induced in the transverse voltage probes attached to {\em quantum-coherent} one-dimensional ring when conventional unpolarized charge current is injected…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Satofumi Souma , Branislav K. Nikolic

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

We determine wave number $q$ and frequency $\omega$ dependent spin Hall conductivity $\sigma_{yx}^s(q, \omega)$ for a disordered two dimensional electron system with Rashba spin orbit interaction when $\q$ is {\it transverse} to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sudhansu S. Mandal , Ankur Sensharma

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 study theoretically the spin and orbital angular momentum (OAM) Hall effect in a high mobility two-dimensional electron system with Rashba and Dresselhuas spin-orbit coupling by introducing both the spin and OAM torque corrections,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Tsung-Wei Chen , Chih-Meng Huang , G. Y. Guo

We present a theory of the anomalous Hall effect in a topological Weyl superconductor with broken time reversal symmetry. Specifically, we consider a ferromagnetic Weyl metal with two Weyl nodes of opposite chirality near the Fermi energy.…

Superconductivity · Physics 2016-08-24 G. Bednik , A. A. Zyuzin , A. A. Burkov

We provide a theoretical framework for the electric field control of the electron spin in systems with diffusive electron motion. The approach is valid in the experimentally important case where both intrinsic and extrinsic spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-09-10 R. Raimondi , P. Schwab

We delve into spin Hall effect in generic spin-orbit coupled two-dimensional fermionic systems. We derive analytically the spin-orbit force responsible for the spin Hall effect, and find that it has `Lorentz force'-like form. We also derive…

Mesoscale and Nanoscale Physics · Physics 2015-07-02 Boudhayan Paul , Tarun Kanti Ghosh

We study charge transport across a junction between a normal metal and a Rashba metal in the presence of a Zeeman field applied to the spin--orbit coupled region. While an out-of-plane Zeeman field does not generate a transverse response in…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Megha Bera , Bijay Kumar Sahoo , Abhiram Soori

We consider a two-dimensional electron system subjected to a short-ranged nonmagnetic disorder potential, Coulomb interactions, and Rashba spin-orbit coupling. The path-integral approach incorporated within the Keldysh formalism is used to…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Maxim Dzero , Alex Levchenko

We propose a tunneling spin Hall effect in a normal metal/$p$-wave magnet/superconductor junction. It is found that the Andreev reflection in the normal lead is spin-dependent and exhibits strong asymmetry with respect to the transverse…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 W. Zeng

We investigate transverse Josephson current in superconductor/normal metal/superconductor junctions where the normal metal has Rashba type spin-orbit coupling. It is shown that trans- verse current arises from the spin-orbit coupling in the…

Mesoscale and Nanoscale Physics · Physics 2011-12-20 Takehito Yokoyama

A brief review is given on the spin Hall effect, where an external electric field induces a transverse spin current. It has been recognized over 30 years that such effect occurs due to impurities in the presence of spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Shuichi Murakami

Motivated by a recent experiment[Nature {\bf 442}, 176 (2006)], we present a quantitative microscopic theory to investigate the inverse spin-Hall effect with spin injection into aluminum considering both intrinsic and extrinsic spin-orbit…

Materials Science · Physics 2009-11-11 S. Y. Liu , Norman J. M. Horing , X. L. Lei

We study a two-dimensional electron system in the presence of spin-orbit interaction. It is shown analytically that the spin-orbit interaction acts as a transversal effective electric field, whose orientation depends on the sign of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Manuel Valin-Rodriguez

We theoretically study the direct and inverse spin Hall effects in a superconductor-normal metal-superconductor junction induced by a spin-orbit interaction that is invariant under spatial inversion. We show that a supercurrent induces a…

Mesoscale and Nanoscale Physics · Physics 2026-04-17 Gen Tatara , Yositake Takane , Aurelien Manchon

With recent advances in simulating quantum phenomena in cold atoms, the higher-rank spin tensor Hall effect was discovered in larger spin systems with spin-tensor-momentum coupling, which is an extension of the celebrated spin Hall effects…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 Xiaoru He , Ling-Zheng Meng , Junpeng Hou , Xi-Wang Luo , Ya-Jie Wu