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Generating pure spin currents via the spin Hall effect in heavy metals has been an active topic of research in the last decade. In order to reduce the energy required to efficiently switch neighbouring ferromagnetic layers for applications,…

The spin Hall effect depends crucially on the intrinsic spin-orbit coupling of the energy band. Because of the smaller spin-orbit coupling in silicon, the spin Hall effect is expected to be much reduced. We show that the electric field in…

Other Condensed Matter · Physics 2009-11-11 B. Andrei Bernevig , Taylor L. Hughes , Shou-Cheng Zhang

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

The magnetic spin Hall effect is a time-reversal-odd phenomenon in which spin current is induced by the charge current. In the presence of a spin-orbit coupling and/or noncolinear magnetism, however, spin current is not uniquely defined.…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Atsuo Shitade

We obtain analytic formulas for the frequency-dependent spin-Hall conductivity of a two-dimensional electron gas (2DEG) in the presence of impurities, linear spin-orbit Rashba interaction, and external magnetic field perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. M. Hankiewicz , G. Vignale

The quantum Hall effect (QHE), which was observed in 2D electron gas under an external magnetic field, stands out as one of the most remarkable transport phenomena in condensed matter. However, a long standing puzzle remains regarding the…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Humian Zhou , Chui-Zhen Chen , Qing-Feng Sun , X. C. Xie

Based on the Kubo formula approach, the spin Hall conductivity (SHC) of a two-dimensional (2D) Rashba s-wave superconductor in the presence of nonmagnetic impurities is calculated. We will show that by increasing the superconducting gap,…

Superconductivity · Physics 2016-04-26 Mehdi Biderang , Heshmatollah Yavari

In this contribution, we start off from a fully relativistic description of a single electron non-minimally coupled to an external electromagnetic field. Making direct use of the field equation, instead of canonically deriving from the…

Mesoscale and Nanoscale Physics · Physics 2020-02-24 Rodrigo Turcati , Carlos Andres Bonilla Quintero , José Abdalla Helayël-Neto , Enrique Arias

Spin Hall effect, an electric generation of spin current, allows for efficient control of magnetization. Recent theory revealed that orbital Hall effect creates orbital current, which can be much larger than spin Hall-induced spin current.…

Motivated by recent transport measurements in high-$T_c$ cuprate superconductors in a magnetic field, we study the thermal Hall conductivity in materials with topological order, focusing on the contribution from neutral spinons.…

Strongly Correlated Electrons · Physics 2019-04-24 Rhine Samajdar , Shubhayu Chatterjee , Subir Sachdev , Mathias S. Scheurer

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 study the spin Hall effect taking into account the impurity scattering effect as general as possible with the focus on the definition of the spin current. The conserved bulk spin current (Shi et al. [Phys. Rev. Lett. 96, 076604 (2006)])…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Naoyuki Sugimoto , Shigeki Onoda , Shuichi Murakami , Naoto Nagaosa

The spin relaxation time of localized charge carriers is few orders of magnitude larger than that of free electrons and holes. Therefore mutual conversion of spin polarization, charge current and spin current turns out to be underlined in…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 A. V. Shumilin , D. S. Smirnov , L. E. Golub

The anomalous Hall effect (AHE) is highly sensitive to disorder in the metallic phase. Here we show that statistical correlations between the charge and spin disorder sectors strongly affect both the longitudinal conductivity and the…

Disordered Systems and Neural Networks · Physics 2019-09-25 Aydin Cem Keser , Roberto Raimondi , Dimitrie Culcer

The spin Hall effect and its inverse effect, caused by the spin orbit interaction, provide the interconversion between spin current and charge current. Since the effects make it possible to generate and manipulate spin current electrically,…

Materials Science · Physics 2018-01-11 Lingjun Zhou , Vahram L. Grigoryan , Sadamichi Maekawa , Xuhui Wang , Jiang Xiao

We consider the spin-orbit-induced spin Hall effect and spin swapping in diffusive superconductors. By employing the non-equilibrium Keldysh Green's function technique in the quasiclassical approximation, we derive coupled transport…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Camilla Espedal , Peter Lange , Severin Sadjina , A. G. Mal'shukov , Arne Brataas

Current-induced spin-orbit torque (SOT) has emerged as a promising method for achieving energy-efficient magnetisation switching in advanced spintronic devices. Over the past two decades, researchers have primarily focused on enhancing spin…

While tremendous work has gone into spin-orbit torque and spin current generation, charge-to-spin conversion efficiency remains weak in silicon to date, generally stemming from the low spin-orbit coupling (low atomic number, Z) and lack of…

We study the intrinsic spin Hall conductivity (SHC) in various $5d$-transition metals (Ta, W, Re, Os, Ir, Pt, and Au) and 4d-transition metals (Nb, Mo, Tc, Ru, Rh, Pd, and Ag) based on the Naval Research Laboratory tight-binding model,…

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

We study the spin transport theoretically in heterostructures consisting of a ferromagnetic metallic thin film sandwiched between heavy-metal and oxide layers. The spin current in the heavy metal layer is generated via the spin Hall effect,…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 L. Chotorlishvili , Z. Toklikishvili , X. -G. Wang , V. K. Dugaev , J. Barnas , J. Berakdar
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