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The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

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

The anomalous Hall effect (AHE) occurs in magnetic systems and also unexpectedly in non-magnetic materials adjacent to magnetic insulators via the heterointerface interactions. However, the AHE in heterostructures induced by magnetic…

We perform a first principles calculation of the anomalous Hall effect in ferromagnetic bcc Fe. Our theory identifies an intrinsic contribution to the anomalous Hall conductivity and relates it to the k-space Berry phase of occupied Bloch…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yugui Yao , L. Kleinman , A. H. MacDonald , Jairo Sinova , T. Jungwirth , Ding-sheng Wang , Enge Wang , Qian Niu

The intricate interplay between magnetism and the topology of electronic structures provides a rich avenue for tailoring materials with unique and potent anomalous transport properties. In this paper, we present a strategy for inducing…

Materials Science · Physics 2024-12-04 Subhadip Pradhan , Kartik Samanta , Ashis K. Nandy

It is rarely reported that collinear antiferromagnetic (AFM) metals can have anomalous Hall effect (AHE). In this letter, based on symmetry analysis and the first-principles electronic structure calculations, we predict that two existing…

Materials Science · Physics 2024-03-20 Xiao-Yao Hou , Huan-Cheng Yang , Zheng-Xin Liu , Peng-Jie Guo , Zhong-Yi Lu

We report a nearly ideal quantum anomalous Hall effect in a three-dimensional topological insulator thin film with ferromagnetic doping. Near zero applied magnetic field we measure exact quantization in Hall resistance to within a part per…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 A. J. Bestwick , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

The quantum anomalous Hall (QAH) effect holds fundamental importance in topological physics and technological promise for electronics. It is generally believed that the QAH effect can only be realized in insulators. In this Letter, we…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

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

A theoretical formulation of magnetoresistance effect in a metallic ferromagnetic/nonmagnetic bilayer originated from the charge-spin conversion by the anomalous Hall effect is presented. Analytical expressions of the longitudinal and…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 Tomohiro Taniguchi

Altermagnets are an emerging class of unconventional antiferromagnets, characterized by a N\'eel ordering that does not break the translation symmetry of the underlying lattice. Depending on the orientation of the N\'eel vector, the…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Sopheak Sorn , Yuriy Mokrousov

The spin Hall effect and its inverse play key roles in spintronic devices since they allow conversion of charge currents to and from spin currents. The conversion efficiency strongly depends on material details, such as the electronic band…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 D. H. Wei , Y. Niimi , B. Gu , T. Ziman , S. Maekawa , Y. Otani

The origin of anomalous Hall effect (AHE) in magnetic materials is one of the most intriguing aspect in condensed matter physics and has been controversial for a long time. Recent studies indicate that the intrinsic AHE is closely related…

Strongly Correlated Electrons · Physics 2018-09-13 Qi Wang , Yuanfeng Xu , Rui Lou , Zhonghao Liu , Man Li , Yaobo Huang , Dawei Shen , Hongming Weng , Shancai Wang , Hechang Lei

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

Anomalous Hall effect (AHE) plays important role in the rapidly developing field of antiferromagnetic spintronics. It has been recently discussed that it can be a feature of not only uncompensated magnetic systems but also in altermagnetic…

Ferroic domain walls (DWs) create different symmetries and ordered states compared with those in single-domain bulk materials. In particular, the DWs of an antiferromagnet (AFM) with non-coplanar spin structure have a distinct symmetry that…

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

Anomalous Hall effect (AHE), a protocol of various low-power dissipation quantum phenomena and a fundamental precursor of intriguing topological phases of matter, is usually observed in ferromagnetic materials with orthogonal configuration…

Mesoscale and Nanoscale Physics · Physics 2023-04-27 Jin Cao , Wei Jiang , Xiao-Ping Li , Daifeng Tu , Jiadong Zhou , Jianhui Zhou , Yugui Yao

The mechanism of the anomalous Hall transport phenomena, if it is of the intrinsic or extrinsic origin, has been controversial. We present a unified theory of them for ferromagnetic metals with dilute impurities at the zero temperature, in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

While the anomalous Hall effect can manifest even without an external magnetic field, time reversal symmetry is nonetheless still broken by the internal magnetization of the sample. Recently, it has been shown that certain materials without…