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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

Recent advancement in laser technology has opened the path toward the manipulation of functionalities in quantum materials by intense coherent light. Here, we study three-dimensional (3D) Dirac electrons driven by circularly polarized light…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Yoshua Hirai , Naotaka Yoshikawa , Masashi Kawaguchi , Masamitsu Hayashi , Shun Okumura , Takashi Oka , Ryo Shimano

Recent observation of anomalous Hall effect (AHE) induced by magnetic field or spin magnetization lying in the Hall deflection plane has sparked interest in diverse mechanisms for inducing the Hall vector component perpendicular to the…

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 Anomalous Hall Effect (AHE) manifests as a transverse voltage proportional to magnetization in ferromagnetic materials under the application of a charge current, being an indispensable tool for probing magnetism, especially in nanoscale…

In a magnetic metal, the Hall resistance is generally taken to be the sum of the ordinary Hall resistance and the anomalous Hall resistance. Here it is shown that this empirical relation is no longer valid when either the ordinary Hall…

Mesoscale and Nanoscale Physics · Physics 2023-02-21 Jiaji Zhao , Bingyan Jiang , Jinying Yang , Lujunyu Wang , Hengjie Shi , Guang Tian , Zhilin Li , Enke Liu , Xiaosong Wu

The anomalous Hall effect (AHE) is a consequence of spin-orbit coupling in a ferromagnetic metal and is related primarily to density-matrix response to an electric field that is off-diagonal in band index. For this reason disorder…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. A. Sinitsyn , A. H. MacDonald , T. Jungwirth , V. K. Dugaev , Jairo Sinova

The anomalous Hall effect (AHE) is a topology-related transport phenomenon being of potential interest in spintronics, because this effect enables the efficient probe of magnetic orders (i.e., data readout in memory devices). It is well…

Materials Science · Physics 2025-12-19 Longju Yu , Hong Jian Zhao , Yurong Yang , Laurent Bellaiche , Yanming Ma

For over a century, the Hall effect, a transverse effect under out-of-plane magnetic field or magnetization, has been a cornerstone for magnetotransport studies and applications. Modern theoretical formulation based on the Berry curvature…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

Anomalous Hall effect (AHE), occurring in materials with broken time-reversal symmetry, epitomizes the intricate interplay between magnetic order and orbital motions of electrons[1-4]. In two dimensional (2D) systems, AHE is always coupled…

Mesoscale and Nanoscale Physics · Physics 2025-05-08 Qingxin Li , Hua Fan , Min Li , Yinghai Xu , Junwei Song , Kenji Watanabe , Takashi Taniguchi , Hua Jiang , X. C. Xie , James Hone , Cory Dean , Yue Zhao , Jianpeng Liu , Lei Wang

The linear intrinsic anomalous Hall effect (IAHE) and second-order IAHE have been intensively investigated in time-reversal broken systems. However, as one of the important members of the nonlinear Hall family, the investigation of…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 Longjun Xiang , Chao Zhang , Luyang Wang , Jian Wang

ZrTe$_5$ has been of recent interest as a potential Dirac/Weyl semimetal material. Here, we report the results of experiments performed via in-situ 3D double-axis rotation to extract the full $4\pi$ solid angular dependence of the transport…

Time-reversal symmetry breaking is the basic physics concept underpinning many magnetic topological phenomena such as the anomalous Hall effect (AHE) and its quantized variant. The AHE has been primarily accompanied by a ferromagnetic…

The anomalous Hall effect (AHE) is an efficient tool for detecting the N\'eel vector in collinear compensated magnets with spin-split bands, known as altermagnets (AMs). Here, we establish design principles for obtaining non-zero anomalous…

Materials Science · Physics 2025-05-13 Sajjan Sheoran , Pratibha Dev

The anomalous Hall effect (AHE) is studied on the surface of a 3D magnetic topological insulator. By applying a modified semi-classical framework, all three contributions to the AHE, the intrinsic Berry phase curvature effect, the side-jump…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Amir Sabzalipour , Bart Partoens

Anomalous Hall effect (AHE), one of the most important electronic transport phenomena, generally appears in ferromagnetic materials but is rare in materials without magnetic elements. Here, we present a study of La$_3$MgBi$_5$, whose band…

To elucidate the origin of anomalous Hall effect (AHE) in ferromagnetic transition metals, we study the intrinsic AHE based on a multi-orbital (xz,yz)-tight-binding model. We find that a large anomalous velocity comes from the off-diagonal…

Strongly Correlated Electrons · Physics 2009-11-13 H. Kontani , T. Tanaka , K. Yamada

The Hall effect, particularly that arising from in-plane magnetic field, has recently emerged as a sensitive probe of quantum geometric properties in solids. Especially in trigonal systems, in-plane anomalous Hall effect (AHE) can be…

In-plane anomalous Hall effect (IPAHE) is an unconventional anomalous Hall effect (AHE) with the Hall current flows in the plane spanned by the magnetization or magnetic field and the electric field. Here,we predict a stable two-dimensional…

Materials Science · Physics 2024-04-22 Ding Li , Maoyuan Wang , Dengfeng Li , Jianhui Zhou

Anomalous Hall Effect (AHE) response in magnetic systems is typically proportional to an out-of-plane magnetization component because of the restriction imposed by system symmetries, which demands that the magnetization, applied electric…

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