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Using the Kubo formalism we derived expressions and implemented the method for calculating the anomalous Hall conductivity (AHC) in ferromagnets with short-range Gaussian disorder directly from first-principles electronic structure of the…

Mesoscale and Nanoscale Physics · Physics 2014-01-22 Philippe Czaja , Frank Freimuth , Jürgen Weischenberg , Stefan Blügel , Yuriy Mokrousov

A coherent description of the anomalous Hall effect (AHE) is presented that is applicable to pure as well as disordered alloy systems by treating all sources of the AHE on equal footing. This is achieved by an implementation of the…

Materials Science · Physics 2015-05-19 S. Lowitzer , D. Ködderitzsch , H. Ebert

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 anomalous Hall conductivity has an important extrinsic contribution known as side jump contribution, which is independent of both scattering strength and disorder density. Nevertheless, we discover that side jump has strong dependence…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Shengyuan A. Yang , Hui Pan , Yugui Yao , Qian Niu

A model to treat the anomalous Hall effect is developed. Based on the Kubo formalism and on the Dirac equation, this model allows the simultaneous calculation of the skew-scattering and side-jump contributions to the anomalous Hall…

Condensed Matter · Physics 2009-11-07 A. Crépieux , P. Bruno

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

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

The role of electron-phonon scattering in finite-temperature anomalous Hall effect is still poorly understood. In this work, we present a Boltzmann theory for the side-jump contribution from electron-phonon scattering, which is derived from…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Cong Xiao , Ying Liu , Ming Xie , Shengyuan A. Yang , Qian Niu

To elucidate the intrinsic nature of anomalous Hall effect (AHE) in $d$-electron systems, we study the AC anomalous Hall conductivity (AHC) in a tight-binding model with ($d_{xz},d_{yz}$)-orbitals. We drive a general expression for the AC…

Strongly Correlated Electrons · Physics 2009-11-13 Takuro Tanaka , Hiroshi Kontani

We study the role played by electron-magnon scattering in the anomalous Hall effect. We find that it has important contributions distinct from other scattering processes like impurities scattering and phonon scattering. As a demonstration,…

Materials Science · Physics 2009-11-17 Shengyuan A. Yang , Hui Pan , Wong-Kong Tse , Qian Niu

The scaling of anomalous Hall resistivity on the longitudinal resistivity has been intensively studied in the different magnetic systems, including multilayers and granular films, to examine which mechanism, skew scattering or side-jump,…

Other Condensed Matter · Physics 2011-06-01 W. J. Xu , B. Zhang , Z. Wang , S. Chu , W. Li , R. H. Yu , X. X. Zhang

We develop a first-principles procedure for the individual evaluation of the intrinsic, side-jump, and skew-scattering contributions to the anomalous Hall conductivity $\sigma_{xy}$. This method is based on the different microscopic…

Materials Science · Physics 2016-09-07 K. Hyodo , Y. Kota , A. Sakuma

By performing first principles calculations we investigate the intrinsic anomalous Hall conductivity (AHC) and its anisotropy in ordered L1o FePt, CoPt and NiPt ferromagnets, and their intermediate alloys. We demonstrate that the AHC in…

Materials Science · Physics 2011-07-06 Hongbin Zhang , Stefan Blügel , Yuriy Mokrousov

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…

We investigate the evolution of Anomalous Hall Conductivity (AHC) in a coplanar and collinear antiferromagnetic system with varying spin canting angles. A tight-binding model based on three t2g-orbitals in a body-centered tetragonal lattice…

Materials Science · Physics 2026-03-24 Yuansheng Bu , Ziyin Song , Zhong Fang , Quansheng Wu , Hongming Weng

The electronic anomalous Hall effect (AHE), where charge carriers acquire a velocity component orthogonal to an applied electric field, is one of the most fundamental and widely studied phenomena in physics. There are several different AHE…

The spin Hall conductivity (SHC) and anomalous Hall conductivity (AHC) in more than 120 full Heusler compounds are calculated using density functional theory in a high-throughtput way. The electronic structures are mapped to the Wannier…

Materials Science · Physics 2022-05-25 Yimin Ji , Wenxu Zhang , Hongbin Zhang , Wanli Zhang

Anomalous Hall crystals (AHCs) are exotic phases of matter that simultaneously break continuous translation symmetry and exhibit the quantum anomalous Hall effect. AHCs have recently been proposed to explain the observation of an integer…

Strongly Correlated Electrons · Physics 2026-04-28 Félix Desrochers , Mark R. Hirsbrunner , Joe Huxford , Adarsh S. Patri , T. Senthil , Yong Baek Kim

Using the full-potential linearized augmented plane-wave method within the density functional theory, we compute all contributions to the scattering independent part of the thermoelectric conductivity tensor, namely the intrinsic…

Materials Science · Physics 2013-02-18 Jürgen Weischenberg , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

We study the anomalous Hall effect in a disordered Weyl semimetal. While the intrinsic contribution is expressed solely in terms of Berry curvature, the extrinsic contribution is given by a combination of the skew scattering and side jump…

Mesoscale and Nanoscale Physics · Physics 2023-07-18 Yonatan Messica , Dmitri. B. Gutman , Pavel M. Ostrovsky
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