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Spin-orbit coupling in ferromagnets gives rise to the anomalous Hall effect and the anisotropic magnetoresistance, both of which can be used to create spin-transfer torques in a similar manner as the spin Hall effect. In this paper we show…

Materials Science · Physics 2014-11-19 Tomohiro Taniguchi , J. Grollier , M. D. Stiles

Anomalous Hall effect arising from non-trivial spin configuration (chirality) is studied based on the $s$-$d$ model. Considering a weak coupling case, the interaction is treated perturbatively. Scattering by normal impurities is included.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Gen Tatara , Hikaru Kawamura

We studied the effect of strong electric current on spin waves interacting relativistically with the current. The spin-wave spectrum is calculated at arbitrary direction of the wave vector. It is shown that the alternating Hall current…

Materials Science · Physics 2009-11-13 I. Ya. Korenblit

We predict a spin anomalous-Hall unidirectional magnetoresistance (AH-UMR) in conducting bilayers composed of a ferromagnetic layer and a nonmagnetic layer, which does $\textit{not}$ rely on the spin Hall effect in the normal metal…

Mesoscale and Nanoscale Physics · Physics 2022-05-30 M. Mehraeen , Steven S. -L. Zhang

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

We present a theory of the Anomalous Hall Effect (AHE) in ferromagnetic (Ga,Mn)As in the regime when conduction is due to phonon-assisted hopping of holes between localized states in the impurity band. We show that the microscopic origin of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. A. Burkov , Leon Balents

We demonstrate that spin-orbit coupled electrons in a magnetically doped system exert a spin torque on the local magnetization, without a flowing current, when the chemical potential is modulated in a magnetic field. The spin torque is…

Mesoscale and Nanoscale Physics · Physics 2015-09-17 Kentaro Nomura , Daichi Kurebayashi

The spin anomalous Hall effect (SAHE) in ferromagnetic metals, which can generate spin-orbit torque to rotate the magnetization of another ferromagnetic layer through a non-magnetic spacer in magnetic junctions, has attracted much…

Mesoscale and Nanoscale Physics · Physics 2021-10-22 Yoshio Miura , Keisuke Masuda

We present a microscopic theory of the anomalous Hall effect in metallic multi-band ferromagnets, which accounts for all scattering-independent contributions, i.e., both the intrinsic and the so-called side jump. For a model of Gaussian…

Mesoscale and Nanoscale Physics · Physics 2010-07-20 Alexey A. Kovalev , Jairo Sinova , Yaroslav Tserkovnyak

The electrical Hall effect can be significantly enhanced through the interplay of the conduction electrons with magnetism, which is known as the anomalous Hall effect (AHE). Whereas the mechanism related to band topology has been…

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

Magnetic textures like skyrmions and domain walls coupled to itinerant electrons give rise to rich transport phenomena such as anomalous Hall effect and nonreciprocal current. An interesting case is when the transport coefficient is related…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Jun Mochida , Hiroaki Ishizuka

We review the recent discussion of the absence of spin Hall effect in a uniform gravitational field, pointing out differences from the anomalous spin Hall effect in ferromagnetics despite a similar form of the Hamiltonian.

General Relativity and Quantum Cosmology · Physics 2026-02-20 Andrzej Czarnecki , Ting Gao

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

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

An oscillographic study of the Hall voltage with an unpolarized alternating current through a platinum sample revealed choral features of the Hall effect, which clearly demonstrate the presence of the spin Hall effect in metals with a…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Yu. N. Chiang , M. O. Dzyuba

Orthorhombic CuMnAs has been proposed as an antiferromagnetic semimetal hosting nodal line and Dirac points around the Fermi level. We investigate relations between the topological bands and transport phenomena, i.e. spin Hall effect and…

Strongly Correlated Electrons · Physics 2021-07-14 Vu Thi Ngoc Huyen , Yuki Yanagi , Michi-To Suzuki

We theoretically investigate the intrinsic anomalous Hall effect in two magnetically ordered systems: One is the ferromagnetic dipole system, and the other is the anisotropic magnetic dipole system, the latter of which has been proposed as…

Mesoscale and Nanoscale Physics · Physics 2024-12-12 Satoru Ohgata , Satoru Hayami

A complete set of the generalized drift-diffusion equations for a coupled charge and spin dynamics in ferromagnets in the presence of extrinsic spin-orbit coupling is derived from the quantum kinetic approach, covering major transport…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 C. O. Pauyac , M. Chshiev , A. Manchon , S. A. Nikolaev

A unified theory of the anomalous Hall effect (AHE) is presented for multi-band ferromagnetic metallic systems with dilute impurities. In the clean limit, the AHE is mostly due to the extrinsic skew-scattering. When the Fermi level is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa