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We discuss the anomalous Hall effect in a two-dimensional electron gas subject to a spatially varying magnetization. This topological Hall effect (THE) does not require any spin-orbit coupling, and arises solely from Berry phase acquired by…

Materials Science · Physics 2009-11-10 P. Bruno , V. K. Dugaev , M. Taillefumier

In recent years, the planar Hall effect (PHE) has become a key probe of Berry curvature and the anomalous Hall effect (AHE). Threefold-symmetric signals under in-plane fields are often attributed to such quantum mechanisms. Here, we…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Akiyoshi Yamada , Yuki Fuseya

Transport measurements on thin films of the prototypical altermagnet MnTe have reported conflicting phenomena of anomalous Hall effects (AHE), including opposite signs and thickness-independent resistivity. Here we resolve these…

Materials Science · Physics 2026-03-13 Yufei Zhao , Saswata Mandal , Chao-Xing Liu , Binghai Yan

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

Traditional view of the anomalous Hall effect~(AHE) in ferromagnets is that it arises from the magnetization perpendicular to the measurement plane and that there is a linear dependence on the latter. Underlying such a view is the thinking…

Materials Science · Physics 2024-08-19 Zheng Liu , Mengjie Wei , Dazhi Hou , Yang Gao , Qian Niu

Besides the negative longitudinal magnetoresistance (MR), planar Hall effect (PHE) is a newly emerging experimental tool to test the chiral anomaly or nontrivial Berry curvature in Weyl semimetals (WSMs). However, the origins of PHE in…

Materials Science · Physics 2019-05-20 D. D. Liang , Y. J. Wang , W. L. Zhen , J. Yang , S. R. Weng , X. Yan , Y. Y. Han , W. Tong , L. Pi , W. K. Zhu , C. J. Zhang

The anomalous Hall effect (AHE) can appear in certain antiferromagnetic metals when it is allowed by symmetry. Since the net magnetization is usually small in such anomalous Hall antiferromagnets, it is useful to have other physical…

Materials Science · Physics 2022-07-22 Hua Chen

We study the anomalous Hall effect in monolayers of transition-metal dichalcogenides 2H-$MX_2$ ($M$=Mo, W, and $X$=S, Se, Te) under a proximity effect of ferromagnetic substrate. If a proximity-induced exchange field is introduced, the…

Mesoscale and Nanoscale Physics · Physics 2017-08-10 Tetsuro Habe , Mikito Koshino

When conduction electrons are forced to follow the local spin texture, the resulting Berry phase can induce an anomalous Hall effect (AHE). In gadolinium, as in double-exchange magnets, the exchange interaction is mediated by the conduction…

Strongly Correlated Electrons · Physics 2009-11-10 S. A. Baily , M. B. Salamon

The realization of the Quantum anomalous Hall effect (QAHE) in two dimensional (2D) metal organic frameworks (MOFs), (MC$_4$S$_4$)$_3$ with M = Mn, Fe, Co, Ru and Rh, has been investigated based on a combination of first-principles…

Materials Science · Physics 2018-09-18 F. Crasto de Lima , G. J. Ferreira , R. H. Miwa

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

We evaluate the topological character of TaAs through a detailed study of the angular, magnetic-field and temperature dependence of its magnetoresistivity and Hall-effect(s), and of its bulk electronic structure through quantum oscillatory…

We report the anomalous and topological Hall effect of the ferromagnetic Weyl semimetal Mn$_5$Ge$_3$. We observe a significant anisotropic anomalous Hall effect (AHE) due to nonzero Berry curvature in the momentum space, such that the…

Materials Science · Physics 2025-04-08 Achintya Low , Tushar Kanti Bhowmik , Susanta Ghosh , Susmita Changdar , Setti Thirupathaiah

The antiferromagnetic (AFM) valleytronics can be intrinsically more energy-saving and fast-operating in device applications. In general, the lacking spontaneous spin-splitting hinders the implementation and detection of anomalous valley…

Materials Science · Physics 2024-07-25 Dun-Cheng Liang , San-Dong Guo , Shaobo Chen

We show that the anomalous Hall effect (AHE) at a magnetic interface with strong spin-orbit coupling can be tuned with an external electric field. By altering the strength of the inversion symmetry breaking, the electric field changes the…

Strongly Correlated Electrons · Physics 2018-12-24 Sayantika Bhowal , S. Satpathy

Specific antiferromagnetic (AF) spin configurations generate large anomalous Hall effects (AHEs) even at zero magnetic field through nonvanishing Berry curvature in momentum space. In addition to restrictions on AF structures, suitable…

The Anomalous Hall Effect (AHE) is an important quantity in determining the properties and understanding the behavior of the two-dimensional electron system forming at the interface of SrTiO3-based oxide heterostructures. The occurrence of…

Materials Science · Physics 2020-02-27 N. Lebedev , M. Stehno , A. Rana , P. Reith , N. Gauquelin , J. Verbeeck , H. Hilgenkamp , A. Brinkman , J. Aarts

Emerging from the intricate interplay of topology and magnetism, the giant anomalous Hall effect (AHE) is the most known topological property of the recently discovered kagome ferromagnetic Weyl semimetal Co_3Sn_2S_2 with the magnetic Co…

Ferroelectricity, anti-ferromagnetism (AFM) and quantum anomalous Hall effect (QAHE) are three fundamental phenomena in the field of condensed matter physics, which could enable the realization of novel devices and thus attracts great…

Computational Physics · Physics 2023-02-13 Yan Liang , Fulu Zheng , Thomas Frauenheim , Pei Zhao

The quantum anomalous Hall effect (QAHE), the last member of Hall family, was predicted to exhibit quantized Hall conductivity e2/h without any external magnetic field. The QAHE shares a similar physical phenomenon with the integer quantum…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Cui-Zu Chang , Mingda Li