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Noncollinear antiferromagnets can generate a transverse electrical response known as the anomalous Hall effect, even though they possess almost no net magnetization. The microscopic origin of this behaviour, however, has remained unclear…

The Hall effect, in which current flows perpendicular to an applied electrical bias, has played a prominent role in modern condensed matter physics over much of the subject's history. Appearing variously in classical, relativistic and…

Materials Science · Physics 2021-07-08 Libor Smejkal , Allan H. MacDonald , Jairo Sinova , Satoru Nakatsuji , Tomas Jungwirth

The anomalous Hall effect, observed in conducting ferromagnets with broken time-reversal symmetry, offers the possibility to couple spin and orbital degrees of freedom of electrons in ferromagnets. In addition to charge, the anomalous Hall…

Materials Science · Physics 2018-07-04 Yumeng Yang , Ziyan Luo , Haijun Wu , Yanjun Xu , Run-Wei Li , Stephen J. Pennycook , Shufeng Zhang , Yihong Wu

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…

In this paper we propose two theoretical models of a metallic N\'{e}el ordered antiferromagnet with charge-density wave order which shows the anomalous Hall effect. In our models a combination of the N\'{e}el order and the charge-density…

Mesoscale and Nanoscale Physics · Physics 2024-11-26 Vladimir A. Zyuzin

The anomalous Hall effect has been indispensable in our understanding of numerous magnetic phenomena. This concerns both ferromagnetic materials, as well as diverse classes of antiferromagnets, where in addition to the anomalous and crystal…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 J. Kipp , K. Samanta , F. R. Lux , M. Merte , J. -P. Hanke , M. Redies , F. Freimuth , S. Blügel , M. Ležaić , Y. Mokrousov

Electrical readout of 180$^\circ$ switching in strictly compensated collinear antiferromagnets remains a major challenge in antiferromagnetic spintronics. Electrical writing of perpendicularly magnetized ferromagnets by out-of-plane orbital…

Materials Science · Physics 2026-04-06 Hui Wang , Huiying Liu , Yanfeng Ge , Xukun Feng , Jiaojiao Zhu , Jin Cao , Cong Xiao , Shengyuan A. Yang , Lay Kee Ang

Electrical detection of the 180 deg spin reversal, which is the basis of the operation of ferromagnetic memories, is among the outstanding challenges in the research of antiferromagnetic spintronics. Analogous effects to the ferromagnetic…

The anomalous Hall effect, commonly observed in metallic magnets, has been established to originate from the time-reversal symmetry breaking by an internal macroscopic magnetization in ferromagnets or by a non-collinear magnetic order. Here…

We search for dynamical magnetoelectric phenomena in three-dimensional correlated systems with spin-orbit coupling. We focus on the antiferromagnetic insulator phases where the dynamical axion field is realized by the fluctuation of the…

Strongly Correlated Electrons · Physics 2016-03-02 Akihiko Sekine , Kentaro Nomura

A new type of anomalous Hall effect is shown to arise from the interaction of conduction electrons with dipolar spin waves in ferromagnets. This effect exists even in homogeneous ferromagnets without relativistic spin-orbit coupling. The…

Materials Science · Physics 2015-10-14 Kei Yamamoto , Koji Sato , Eiji Saitoh , Hiroshi Kohno

In ferromagnets, electric current generally induces transverse Hall voltage in proportion to magnetization (anomalous Hall effect), and it is frequently used for electrical readout of the up and down spin states. While these properties are…

Electrons, commonly moving along the applied electric field, acquire in certain magnets a dissipationless transverse velocity. This spontaneous Hall effect, discovered more than a century ago, has been understood in terms of the…

Mesoscale and Nanoscale Physics · Physics 2022-09-27 Libor Šmejkal , Rafael González-Hernández , Tomáš Jungwirth , Jairo Sinova

Following the recent observation of anomalous Hall effect in antiferromagnetic hexagonal MnTe thin films, related phenomena at finite frequencies have come into focus. Magnetic circular dichroism (MCD) is the key material property here. In…

Despite being known for a long time the anomalous Hall effect still attracts attention because of its complex origins, its connection to topology and because it serves as a useful probe of the magnetic order. Here we study the anomalous…

Materials Science · Physics 2022-05-31 Jakub Železný , Yuta Yahagi , Carlés-Gomez Ollivella , Yang Zhang , Yan Sun

We theoretically investigate the anomalous Hall effect (AHE) that requires neither a net magnetization nor an external magnetic field in collinear antiferromagnets. We show that such an emergent AHE is essentially caused by a ferroic…

Strongly Correlated Electrons · Physics 2021-06-02 Satoru Hayami , Hiroaki Kusunose

The anomalous Hall effect is deemed to be a unique transport property of ferromagnetic metals, caused by the concerted action of spin polarization and spin-orbit coupling. Nevertheless, recent experiments have shown that the effect also…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 Steven S. -L. Zhang , Giovanni Vignale

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

We theoretically investigate the intrinsic anomalous Hall effect in two magnetically ordered systems: One is the ferromagnetic dipole system, and the other is the anisotropic magnetic dipole system, the latter of which has been proposed as…

Mesoscale and Nanoscale Physics · Physics 2024-12-12 Satoru Ohgata , Satoru Hayami

Noncollinear antiferromagnets (AFMs) have recently attracted a lot of attention owing to the potential emergence of exotic spin orders on geometrically frustrated lattices, which can be characterized by corresponding spin chiralities. By…

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