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The anomalous Hall effect, a hallmark of broken time-reversal symmetry and spin-orbit coupling, is frequently observed in magnetically polarized systems. Its realization in non-magnetic systems, however, remains elusive. Here, we report on…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Athby H. Al-Tawhid , Jesse Kanter , Mehdi Hatefipour , Douglas L. Irving , Divine P. Kumah , Javad Shabani , Kaveh Ahadi

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…

While altermagnetic materials are characterized by a vanishing net magnetic moment, their symmetry in principle allows for the existence of an anomalous Hall effect (AHE). Here we introduce a model with altermagnetism in which the emergence…

Strongly Correlated Electrons · Physics 2024-09-05 Toshihiro Sato , Sonia Haddad , Ion Cosma Fulga , Fakher F. Assaad , Jeroen van den Brink

The third-order anomalous Hall effect (TOAHE) driven by Berry connection polarizability in Dirac materials offers a promising avenue for exploring quantum geometric phenomena. We investigate the role of impurity scattering on TOAHE using…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Chanchal K. Barman , Arghya Chattopadhyay , Surajit Sarkar , Jian-Xin Zhu , Snehasish Nandy

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 Here it is shown that this empirical relation is no longer valid when either the ordinary Hall…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

Co2-based Heusler compounds are the promising materials for the spintronics application due to their high Curie temperature, large spin-polarization, large magnetization density, and exotic transport properties. In the present manuscript,…

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

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

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

Altermagnets break time-reversal symmetry, preserve the crystal translation invariance, and have a spin density with $d$-wave, $g$-wave, etc. momentum dependencies which do not contribute to the magnetization. When an $s$-wave spin-density…

Materials Science · Physics 2025-05-07 Keigo Takahashi , Charles R. W. Steward , Masao Ogata , Rafael M. Fernandes , Jörg Schmalian

Antiferromagnets exhibiting giant anomalous Hall effect (AHE) and anomalous Nernst effect (ANE) have recently aroused broad interest, not only for their potential applications in future electronic devices, but also because of the rich…

Mesoscale and Nanoscale Physics · Physics 2023-06-19 Pingfan Gu , Yuxuan Peng , Shiqi Yang , Huan Wang , Shenyong Ye , Hanwen Wang , Yanping Li , Tianlong Xia , Jinbo Yang , Yu Ye

Recently, a type of Hall effect due to an unusual layer-locked Berry curvature called the layer Hall effect (LHE) has been reported in the even-layered two-dimensional antiferromagnetic (AFM) MnBi2Te4 [A. Gao et.al, Nature 595, 521 (2021)].…

Mesoscale and Nanoscale Physics · Physics 2023-01-04 Wen-Bo Dai , Hailong Li , Dong-Hui Xu , Chui-Zhen Chen , X. C. Xie

We report on the observation of the linear anomalous Hall effect (AHE) in the nonmagnetic Weyl semimetal TaIrTe4. This is achieved by applying a direct current Idc and an alternating current Iac (Iac<<Idc) in TaIrTe4, where the former…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 An-Qi Wang , Dong Li , Tong-Yang Zhao , Xing-Yu Liu , Jiantian Zhang , Xin Liao , Qing Yin , Zhen-Cun Pan , Peng Yu , Zhi-Min Liao

Under broken time reversal symmetry such as in the presence of external magnetic field or internal magnetization, a transverse voltage can be established in materials perpendicular to both longitudinal current and applied magnetic field,…

Materials Science · Physics 2020-02-04 Hua Wang , Xiaofeng Qian

The characterization and the experimental measurement of the Berry curvature in solids have become an increasingly relevant task in condensed matter physics. We present the theoretical prediction of a gate tunable anomalous Hall effect…

The conventional Hall effect is linearly proportional to the field component or magnetization component perpendicular to a film. Despite the increasing theoretical proposals on the Hall effect to the in-plane field or magnetization in…

Mesoscale and Nanoscale Physics · Physics 2024-06-04 Yongwei Cui , Zhaoqing Li , Haoran Chen , Yue Chen , Yunzhuo Wu , Ke Pei , Tong Wu , Nian Xie , Renchao Che , Xuepeng Qiu , Yi Liu , Zhe Yuan , Yizheng Wu

While the anomalous Hall effect can manifest even without an external magnetic field, time reversal symmetry is nonetheless still broken by the internal magnetization of the sample. Recently, it has been shown that certain materials without…

To elucidate the origin of spin structure-driven anomalous Hall effect (AHE) in pyrochlore compounds, we construct the $t_{2g}$-orbital kagome lattice model and analyze the anomalous Hall conductivity (AHC). We reveal that a conduction…

Strongly Correlated Electrons · Physics 2010-09-14 Takeshi Tomizawa , Hirhoshi Kontani

We evidenced unconventionnal Anomalous Hall Effects (AHE) in 3d/5d (Co0.2nm/Ni0.6nm)N multilayers grown on a thin Pt layer or thin Au:W alloy. The inversion observed on AHE originates from the opposite sign of the spin-orbit coupling of Pt…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 T. Huong Dang , Q. Barbedienne , Q. D. To , E. Rongione , N. Reyren , F. Godel , S. Collin , J. M. George , H. Jaffrès

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…