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We theoretically study the anomalous Hall effect (AHE) in perovskites with antiferromagnetic (AFM) orderings. By studying the multiorbital Hubbard model for $d$ electrons in perovskite transition metal oxides under the GdFeO$_3$-type…

Strongly Correlated Electrons · Physics 2022-12-07 Makoto Naka , Yukitoshi Motome , Hitoshi Seo

The electronic topology is generally related to the Berry curvature, which can induce the anomalous Hall effect in time-reversal symmetry breaking systems. Intrinsic monolayer transition metal dichalcogenides possesses two nonequivalent K…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Mao-Sen Qin , Peng-Fei Zhu , Xing-Guo Ye , Wen-Zheng Xu , Zhen-Hao Song , Jing Liang , Kaihui Liu , Zhi-Min Liao

Recent interest in topological nature in condensed matter physics has revealed the essential role of Berry curvature in anomalous Hall effect (AHE). However, since large Hall response originating from Berry curvature has been reported in…

Strongly Correlated Electrons · Physics 2020-10-20 Kazuto Akiba , Kaisei Iwamoto , Takaaki Sato , Shingo Araki , Tatsuo C. Kobayashi

Berry curvature is ubiquitous in condensed matter physics and materials science. Its main consequence is the intrinsic anomalous Hall effect (AHE) in magnetic materials and plays a pivotal role in spintronic applications and quantum…

Materials Science · Physics 2026-05-07 Satoshi Okamoto , Adriana Moreo , Naoto Nagaosa , Stuart S. P. Parkin

Recent experiments reported an antisymmetric planar Hall effect, where the Hall current is odd in the in-plane magnetic field and scales linearly with both electric and magnetic fields applied. Existing theories rely exclusively on a spin…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Hui Wang , Yue-Xin Huang , Huiying Liu , Xiaolong Feng , Jiaojiao Zhu , Weikang Wu , Cong Xiao , Shengyuan A. Yang

During the past two decades, it has been established that a non-trivial electron wave-function topology generates an anomalous Hall effect (AHE), which shows itself as a Hall conductivity non-linear in magnetic field. Here, we report on an…

Materials Science · Physics 2023-03-29 Xiaokang Li , Jahyun Koo , Zengwei Zhu , Kamran Behnia , Binghai Yan

We investigate the possibility of observing the anomalous Hall effect (AHE) in two dimensional paramagnetic systems. We apply the semiclassical equations of motion to carriers in the conduction and valence bands of wurtzite and zincblende…

Condensed Matter · Physics 2009-11-10 Dimitrie Culcer , Allan MacDonald , Qian Niu

We present a review of experimental and theoretical studies of the anomalous Hall effect (AHE), focusing on recent developments that have provided a more complete framework for understanding this subtle phenomenon and have, in many…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Naoto Nagaosa , Jairo Sinova , Shigeki Onoda , A. H. MacDonald , N. P. Ong

Large intrinsic anomalous Hall effect (AHE) due to the Berry curvature in magnetic topological semimetals is attracting enormous interest due to its fundamental importance and technological relevance. Mechanisms resulting in large intrinsic…

The anomalous Hall effect (AHE), a Hall signal occurring without an external magnetic field, is one of the most significant phenomena. However, understanding the AHE mechanism has been challenging and largely restricted to ferromagnetic…

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

It has been theoretically predicted that perturbation of the Berry curvature by electromagnetic fields gives rise to intrinsic nonlinear anomalous Hall effects that are independent of scattering. Two types of nonlinear anomalous Hall…

The anomalous Hall effect describes the generation of a transverse voltage by a longitudinal current even in the absence of an external magnetic field. While typically observed in ferromagnets, it has also been predicted to arise in…

Spin spirals represent a fundamental class of noncollinear yet coplanar magnetic structures that give rise to diverse emergent phenomena reflecting spin chirality. We investigate metallic systems hosting commensurate spin spirals and…

Mesoscale and Nanoscale Physics · Physics 2025-12-17 Shun Okumura , Moritz M. Hirschmann , Yukitoshi Motome

Progress in magnetoelectric materials is hindered by apparently contradictory requirements for time-reversal symmetry broken and polar ferroelectric electronic structure in common ferromagnets and antiferromagnets. Alternative routes could…

We have studied the anomalous Hall effect (AHE) in strained thin films of the frustrated antiferromagnet Mn$_{3}$NiN. The AHE does not follow the conventional relationships with magnetization or longitudinal conductivity and is enhanced…

Strongly Correlated Electrons · Physics 2019-10-02 David Boldrin , Ilias Samathrakis , Jan Zemen , Andrei Mihai , Bin Zou , Bryan Esser , Dave McComb , Peter Petrov , Hongbin Zhang , Lesley F. Cohen

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…

The intrinsic anomalous Hall effect (IAHE) provides a powerful transport fingerprint of quantum magnets, with its linear and second-order responses distinguishing ferromagnets and $\mathcal{P}\mathcal{T}$-symmetric antiferromagnets,…

Materials Science · Physics 2026-04-30 Longjun Xiang , Hao Jin , Jian Wang

Intrinsic anomalous Hall effect (AHE) formulated by geometric properties of Bloch wavefunctions is a ubiquitous transport phenomenon not limited to magnetic systems but also allowed in non-magnetic ones under an external field breaking…

Layer-polarized anomalous Hall effect (LP-AHE) is an attractive phenomenon in condensed-matter physics from the standpoints of both fundamental interest and device applications. The current LP-AHE research is based on the extrinsic paradigm…

Materials Science · Physics 2023-02-22 Rui Peng , Ting Zhang , Zhonglin He , Qian Wu , Ying Dai , Baibiao Huang , Yandong Ma