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The challenging problem of skew scattering for Hall effects in dilute ferromagnetic alloys, with intertwined effects of spin-orbit coupling, magnetism and impurity scattering, is studied here from first principles. Our main aim is to…

The anomalous Hall effect in ferromagnetic metals is classified into two based on the mechanism. The first one is the intrinsic Hall effect due to the Berry curvature in momentum space; this is a Hall effect that solely arises from the band…

Mesoscale and Nanoscale Physics · Physics 2017-10-19 Hiroaki Ishizuka , Naoto Nagaosa

We present a rigorous microscopic theory of the extrinsic spin Hall effect in disordered graphene based on a nonperturbative quantum diagrammatic treatment incorporating skew scattering and anomalous---impurity…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 Mirco Milletari , Aires Ferreira

We study the anomalous Hall conductivity in spin-polarized, asymmetrically confined two-dimensional electron and hole systems, focusing on skew-scattering contributions to the transport. We find that the skew scattering, principally…

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

Anomalous Hall effect arises in systems with both spin-orbit coupling and magnetization. Generally, there are three mechanisms contributing to anomalous Hall conductivity: intrinsic, side jump, and skew scattering. The standard diagrammatic…

Disordered Systems and Neural Networks · Physics 2020-12-24 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

We propose a new scaling law for anomalous Hall effect in ferromagnetic thin films by distinguishing three scattering sources, namely, bulk impurity, phonon, and more importantly a rough surface. This new scaling law fits the recent…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Vahram L. Grigoryan , Jiang Xiao , Xuhui Wang , Ke Xia

Skew scattering on rare impurity configurations is shown to dominate the anomalous Hall effect in a 2D Rashba ferromagnet. The mechanism originates in scattering on rare impurity pairs separated by distances of the order of the Fermi wave…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

A key step towards dissipationless transport devices is the quantum anomalous Hall effect, which is characterized by an integer quantized Hall conductance in a ferromagnetic insulator with strong spin-orbit coupling. In this work, the…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Hai-Zhou Lu , Shun-Qing Shen

We demonstrate that a giant spin Hall effect (SHE) can be induced by introducing a small amount of Bi impurities in Cu. Our analysis based on a new 3-dimensional finite element treatment of spin transport shows that the sign of the SHE…

Mesoscale and Nanoscale Physics · Physics 2015-11-10 Y. Niimi , Y. Kawanishi , D. H. Wei , C. Deranlot , H. X. Yang , M. Chshiev , T. Valet , A. Fert , Y. Otani

The theory of the orbital Hall effect (OHE), a transverse flow of orbital angular momentum in response to an electric field, has concentrated overwhelmingly on intrinsic mechanisms. Here, using a quantum kinetic formulation, we determine…

Mesoscale and Nanoscale Physics · Physics 2024-05-02 Hong Liu , Dimitrie Culcer

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

We show by first-principles calculations that the skew-scattering anomalous Hall and spin-Hall angles of L$1_0$-ordered FePt drastically depend on different types of disorder. A different sign of the AHE is obtained when slightly deviating…

Materials Science · Physics 2016-08-12 Bernd Zimmermann , Nguyen H. Long , Phivos Mavropoulos , Stefan Blügel , Yuriy Mokrousov

The question is investigated whether the anomalous Hall effect (AHE) in Fe films is due to skew scattering or side jump. For this purpose sandwiches of FeIn are investigated in which the conduction electrons carry their drift velocity…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gerd Bergmann , Manjiang Zhang

We present a detailed analysis of the skew-scattering contribution to the spin Hall conductivity using an extended version of the resonant scattering model of Fert and Levy [Phys. Rev. Lett. {\bf 106}, 157208 (2011)]. For $5d$ impurities in…

Despite the recent success of identifying experimental signatures of the orbital Hall effect (OHE), the research on the microscopic mechanisms behind this unique phenomenon is still in its infancy. Here, using a gapped 2D Dirac material as…

Mesoscale and Nanoscale Physics · Physics 2025-04-09 Alessandro Veneri , Tatiana G. Rappoport , Aires Ferreira

We show, both experimentally and theoretically, a novel route to obtain giant room temperature spin Hall effect due to surface-assisted skew scattering. In the experiment, we report the spin Hall effect in Pt-doped Au films with different…

Materials Science · Physics 2015-05-20 B. Gu , I. Sugai , T. Ziman , G. Y. Guo , N. Nagaosa , T. Seki , K. Takanashi , S. Maekawa

Recent reports of spin-orbit coupling enhancement in chemically modified graphene have opened doors to studies of the spin Hall effect with massless chiral fermions. Here, we theoretically investigate the interaction and impurity density…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 Mirco Milletari , Aires Ferreira

The enhanced spin Hall effect in Au metal due to the resonant skew scattering is studied with first-principles band structure calculations. Especially the gigantic spin Hall angle $\gamma_S \cong 0.1$ observed recently (T.Seki et al.,…

Strongly Correlated Electrons · Physics 2009-11-13 Guang-Yu Guo , Sadamichi Maekawa , Naoto Nagaosa

Berry curvature and skew-scattering play central roles in determining both the linear and nonlinear anomalous Hall effects. Yet in {\it PT}-symmetric antiferromagnetic metals, Hall effects from either intrinsic Berry curvature mediated…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Da Ma , Arpit Arora , Giovanni Vignale , Justin C. W. Song
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