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The anomalous Hall effect (AHE) is a non-linear Hall effect appearing in magnetic conductors, boosted by internal magnetism beyond what is expected from the ordinary Hall effect. With the recent discovery of the quantized version of the…

Materials Science · Physics 2019-05-06 Jisoo Moon , Jinwoong Kim , Nikesh Koirala , Maryam Salehi , David Vanderbilt , Seongshik Oh

Recently, the quantum anomalous Hall effect (QAHE) has been theoretically proposed in compensated antiferromagnetic systems by using the magnetic topological insulator model [see arXiv:2404.13305 (2024)]. However, the related and systematic…

Materials Science · Physics 2025-07-08 Zeyu Li , Yulei Han , Zhenhua Qiao

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

The integration of ferroelectric (FE) and antiferromagnetic (AFM) orders in twodimensional (2D) materials provides a promising avenue for the nonvolatile control of coupled spin and valley degrees of freedom, a capability central to…

Mesoscale and Nanoscale Physics · Physics 2026-05-07 Quan Shen , Wenhu Liao , Degao Xu , Jiansheng Dong , Jianing Tan

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…

Anomalous Hall effect (AHE), which arises when a current is passed through a ferromagnetic material subjected to a perpendicular magnetic field, is proportional to the magnetization of the sample.Additional hump-like features in AHE are…

Materials Science · Physics 2022-02-09 Nandana Bhattacharya , S. Middey

The interplay between nontrivial band topology and layered antiferromagnetism in MnBi2Te4 has opened up a new avenue for exploring topological phases of matter. Representative examples include the quantum anomalous Hall effect and axion…

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

Layered transition-metal dichalcogenide (TMD) HfTe2 is a topological semimetal candidate with increasing attentions recently. The map of the Fermi surface is of interest and importance to understand its properties. Here we present a study…

Other Condensed Matter · Physics 2025-08-28 Qixuan Li , Gangjian Jin , Nannan Tang , Bin Wang , Bing Shen , Donghui Guo , Dingyong Zhong , Huakun Zuo , Huichao Wang

Topological magnetic semimetals, like Co3Sn2S2 and Co2MnGa, are known to display exotic transport properties, such as large intrinsic anomalous (AHE) due to uncompensated Berry curvature. The highly symmetric XPt3 compounds display…

Anomalous Hall effect (AHE) can be induced by intrinsic mechanism due to the band Berry phase and extrinsic one arising from the impurity scattering. The recently discovered magnetic Weyl semimetal Co3Sn2S2 exhibits a large intrinsic…

Since the discovery of the anomalous Hall effect (AHE), the anomalous Hall conductivity (AHC) has been thought to be zero when there is no net magnetization. However, the recently found relation between the intrinsic AHE and the Berry…

We compute the second-harmonic response of two-dimensional topological Dirac semimetals subjected to an external in-plane magnetic field. The quantum kinetic equation for the Wigner distribution function is derived and then solved to…

Mesoscale and Nanoscale Physics · Physics 2026-04-24 Maxim Dzero , Maxim Khodas , Alex Levchenko , Vladyslav Kozii

The $\mathrm{Co_2}$ family of ferromagnetic Heusler alloys have attracted interest due to their fully spin-polarized nature, making them ideal for applications in spintronic devices. More recently, the existence of room temperature…

Mesoscale and Nanoscale Physics · Physics 2021-01-19 Rishi Bhandia , Bing Cheng , Tobias Brown-Heft , Shouvik Chatterjee , Christopher J. Palmstrøm , N. Peter Armitage

The topological Hall effect (THE) has attracted great attention since it provides an important probe of the interaction between electron and topological spin textures. THE has been considered an experimental signature of the topological…

In the anomalous Hall effect (AHE), the magnetization, electric field and the Hall current are presumed to be mutually vertical to each other. In this work, we propose an unconventional AHE where the magnetization, the electric field and…

Materials Science · Physics 2021-06-24 Hengxin Tan , Yizhou Liu , Binghai Yan

We investigate the planar Hall effect (PHE) in two-dimensional (2D) superconductors with spin-orbit interactions, where transport anisotropy is induced by an in-plane magnetic field. While PHE typically arises from the breaking of basal…

Superconductivity · Physics 2024-07-31 L. Attias , K. Michaeli , M. Khodas

Observation of Weyl and Dirac Fermions in condensed matter systems is one of the most important discoveries. Among the very few available tools to characterize Weyl semimetals through electrical transport, negative magnetoresistance is most…

Mesoscale and Nanoscale Physics · Physics 2018-07-27 Nitesh Kumar , Satya N. Guin , Claudia Felser , Chandra Shekhar

We show that the two dimensional spatial inversion-symmetry (SIS) broken square lattice antiferromagnet with easy-plane spin anisotropy exhibits a thermal Hall effect and the edge modes characterized by the Z 2 topological invariant. These…

Materials Science · Physics 2019-02-22 Masataka Kawano , Chisa Hotta

It is well known that the intrinsic anomalous Hall effect (AHE) arises from the integration of the non-zero Berry curvature (BC), conventionally observed in the Dirac/Weyl and nodal-line semimetals. Moreover, nodal surface semimetals are…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Shu-Xiang Li , Wencheng Wang , Sheng Xu , Tianhao Li , Zheng Li , Jinjin Wang , Jun-Jian Mi , Qian Tao , Feng Tang , Xiangang Wan , Zhu-An Xu