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The spin Hall effect (SHE) is normally discussed in terms of a spin current, which is ill-defined in strongly spin-orbit-coupled systems because of spin non-conservation. In this work we propose an alternative view of SHE phenomena by…

Mesoscale and Nanoscale Physics · Physics 2019-05-16 Hua Chen , Qian Niu , Allan H. MacDonald

We have calculated the intrinsic anomalous and spin Hall conductivities, spin and orbital magnetic moments and also spin polarization of Hall currentsin hexagonal cobalt within the density functional theory with the generalized gradient…

Strongly Correlated Electrons · Physics 2015-06-05 Jen-Chuan Tung , Huei-Ru Fuh , Guang-Yu Guo

We calculate spin Hall conductivities in the two dimensional electron systems with Rashba spin-orbit interaction. The salient feature is that, apart from the usual spin-Hall conductivity \sigma^z_{xy} which corresponds to the induction of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ankur Sensharma , Sudhansu S. Mandal

We consider spin-vorticity coupling - the generation of spin polarization by vorticity - in viscous two-dimensional electron systems with spin-orbit coupling. We first derive hydrodynamic equations for spin and momentum densities in which…

Mesoscale and Nanoscale Physics · Physics 2019-02-18 Ruben J. Doornenbal , Marco Polini , R. A. Duine

Anomalous spin-Hall effects (SHE) and anomalous inverse spin-Hall effects (ISHE) are predicted when the order parameters are involved in the charge-spin interconversion. A spin current whose propagation and polarization are collinear and…

Mesoscale and Nanoscale Physics · Physics 2020-08-13 X. R. Wang

We develop the theory of the spin and valley Hall effects in two-dimensional systems caused by asymmetric -- skew -- scattering of the quasiparticles. The collision integral is derived in the third order in the particle-particle interaction…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 M. M. Glazov , L. E. Golub

Electromagnetic duality between the Aharonov-Bohm and the Aharonov-Casher quantum mechanical phases predicts the existence of a new collective state of matter which can be regarded as a spin dual to the fractional quantum Hall effect. The…

Mesoscale and Nanoscale Physics · Physics 2010-10-05 Jean J. Heremans , Djordje Minic

We present a comprehensive quasiclassical approach for studying transport properties of superconducting diffusive hybrid structures in the presence of extrinsic spin-orbit coupling. We derive a generalized Usadel equation and boundary…

Superconductivity · Physics 2016-11-16 F. S. Bergeret , I. V. Tokatly

We propose a new scheme of spin filtering based on nanometric crossjunctions in the presence of Spin Orbit interaction, employing ballistic nanojunctions patterned in a two-dimensional electron gas. We demonstrate that the flow of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Bellucci , P. Onorato

The intrinsic anomalous Hall effect is one of the most exciting manifestations of the geometric properties of the electronic wave-function. Here, we predict that the electronic wave-function's geometric nature also gives rise to a purely…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Kamal Das , Amit Agarwal

Scattering by multiple scatterers sometimes gives rise to nontrivial consequences such as anomalous Hall effect. We here study a mechanism for anomalous Hall effect which originates from the correlation of nonmagnetic impurities and…

Mesoscale and Nanoscale Physics · Physics 2018-12-27 Hiroaki Ishizuka , Naoto Nagaosa

The spin Hall effect creates a spin current in response to a charge current in a material that has strong spin-orbit coupling. The size of the spin Hall effect in many materials is disputed, requiring independent measurements of the effect.…

Mesoscale and Nanoscale Physics · Physics 2016-05-10 Joseph A. Boales , Carl T. Boone , Pritiraj Mohanty

First principles calculations show that electric fields applied to ferromagnets generate spin currents flowing perpendicularly to the electric field. Reduced symmetry in these ferromagnets enables a wide variety of such spin currents.…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 V. P. Amin , Junwen Li , M. D. Stiles , P. M. Haney

Theoretically, the quantum anomalous Hall effect is characterized by a quantized Hall conductance. However, many experiments only reported the quantization of the Hall resistance, which is accompanied by a non-vanishing longitudinal…

Mesoscale and Nanoscale Physics · Physics 2023-07-18 Rui Chen , Hai-Peng Sun , Bin Zhou , Dong-Hui Xu

The characterization of the stationary states in the spin-Hall effect is discussed within the framework of the phenomenological two spin-channel model. It is shown that two different definitions of the stationary states can be applied in…

Mesoscale and Nanoscale Physics · Physics 2017-12-19 Jean-Eric Wegrowe

We clarify the origin of what is sometimes called the "topological anomalous Hall effect," provide analytical formulas to compute all the contributions to the Hall conductivity in the presence of Kondo-coupled spins and spin orbit coupling.…

Strongly Correlated Electrons · Physics 2026-04-01 Lucile Savary

We derive a general scaling relation for the anomalous Hall effect in ferromagnetic metals involving multiple competing scattering mechanisms, described by a quadratic hypersurface in the space spanned by the partial resistivities. We also…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Dazhi Hou , Gang Su , Yuan Tian , Xiaofeng Jin , Shengyuan A. Yang , Qian Niu

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Shou-Cheng Zhang

A useful experimental signature of the ordinary spin Hall effect is the spin accumulation it produces at the sample edges. The superspin Hall current [Phys. Rev. B 96, 094512 (2017)] is a transverse equilibrium spin current which is induced…

Superconductivity · Physics 2019-05-15 Vetle Risinggård , Jacob Linder

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the…

Strongly Correlated Electrons · Physics 2024-10-11 Börge Göbel , Ingrid Mertig
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