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Anomalous Hall effect (AHE) and anomalous Nernst effect (ANE) in a variety of ferromagnetic metals including pure metals, oxides, and chalcogenides, are studied to obtain unified understandings of their origins. We show a universal scaling…

Materials Science · Physics 2009-11-11 T. Miyasato , N. Abe , T. Fujii , A. Asamitsu , S. Onoda , Y. Onose , N. Nagaosa , Y. Tokura

Anomalous Hall effect arises in systems with both spin-orbit coupling and magnetization. Generally, there are three mechanisms contributing to anomalous Hall conductivity: intrinsic, side jump, and skew scattering. The standard diagrammatic…

Disordered Systems and Neural Networks · Physics 2020-12-24 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

We investigate the intrinsic anomalous thermal Hall effect as an effective probe of the order parameters of non-unitary pairing states of the putative spin-triplet superconductor UTe$_2$. We consider all symmetry-allowed non-unitary states…

For over a century, the Hall effect, a transverse effect under out-of-plane magnetic field or magnetization, has been a cornerstone for magnetotransport studies and applications. Modern theoretical formulation based on the Berry curvature…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

We report on magneto-transport measurement in disordered graphene under pulsed magnetic field of up to 57T. For large electron or hole doping, the system displays the expected anomalous Integer Quantum Hall Effect (IQHE) specific to…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 J. M. Poumirol , W. Escoffier , A. Kumar , M. Goiran , B. Raquet , J. M. Broto

Topologically nontrivial electronic states can give rise to novel anomalous Hall effects. The potential appearance of these effects at room temperature holds promise for their application in magnetic sensing, spintronics, and energy…

Mesoscale and Nanoscale Physics · Physics 2025-01-24 Soumya Sankar , Xingkai Cheng , Tahir Murtaza , Caiyun Chen , Yuqi Qin , Xuezhao Wu , Qiming Shao , Rolf Lortz , Junwei Liu , Berthold Jäck

Historically, the genesis of anomalous Hall effect (AHE) in magnetic materials has always been a fascinating yet controversial topic in the solid state physics community. Recent progress on the understanding of this topic has revealed an…

Strongly Correlated Electrons · Physics 2021-11-29 Durgesh Singh , Jadupati Nag , Sankararao Yadam , V. Ganesan , Aftab Alam , K. G. Suresh

The anomalous Hall effect (AHE) in strongly disordered magnetic systems has been buried in persistent confusion despite its long history. We report the AHE in perpendicularly magnetized L10-MnAl epitaxial films with variable orbital…

Strongly Correlated Electrons · Physics 2016-05-10 L. J. Zhu , S. H. Nie , J. H. Zhao

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

A single layer ferromagnetic film magnetized in the plane of an ac current flow, exhibits a characteristic Hall voltage with harmonic and second harmonic components, which is attributed to the presence of spin currents with polarization…

Mesoscale and Nanoscale Physics · Physics 2024-05-07 Soumik Aon , Harekrishna Bhunia , Pratap Kumar Pal , Abu Bakkar Miah , Dhananjaya Mahapatra , Anjan Barman , Partha Mitra

The Berry curvature in magnetic systems is attracting interest due to the potential tunability of topological features via the magnetic structure. $f$-electrons, with their large spin-orbit coupling, abundance of non-collinear magnetic…

Strongly Correlated Electrons · Physics 2020-07-29 T. Asaba , Ying Su , M. Janoschek , J. D. Thompson , S. M. Thomas , E. D. Bauer , Shi-Zeng Lin , F. Ronning

We study the anomalous Hall Effect (AHE) of single-crystalline Co$_3$Sn$_{2-x}$In$_x$S$_2$ over a large range of indium concentration x from 0 to 1. Their magnetization reduces progressively with increasing x while their ground state…

We present a theory of the anomalous Hall effect (AHE) in a doped Weyl semimetal, or Weyl metal, including both intrinsic and extrinsic (impurity scattering) contributions. We demonstrate that a Weyl metal is distinguished from an ordinary…

Mesoscale and Nanoscale Physics · Physics 2014-11-05 A. A. Burkov

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

Quantum anomalous Hall state is expected to emerge in Dirac electron systems such as graphene under both sufficiently strong exchange and spin-orbit interactions. In pristine graphene, neither interaction exists; however, both interactions…

Mesoscale and Nanoscale Physics · Physics 2017-10-12 Chi Tang , Bin Cheng , Mohammed Aldosary , Zhiyong Wang , Zilong Jiang , K. Watanabe , T. Taniguchi , Marc Bockrath , Jing Shi

Most canted antiferromagnets are also anomalous Hall antiferromagnets (AHE AFMs), i.e. they have an anomalous Hall response and other responses with the same symmetry requirements. We suggest that AHE AFMs are promising materials as hosts…

Mesoscale and Nanoscale Physics · Physics 2019-02-28 Xiao Li , Allan H. MacDonald , Hua Chen

We show that the Anomalous Hall Effect (AHE) observed in Colossal Magnetoresistance Manganites is a manifestation of Berry phase effects caused by carrier hopping in a non-trivial spin background. We determine the magnitude and temperature…

Strongly Correlated Electrons · Physics 2009-10-31 Jinwu Ye , Yong Baek Kim , A. J. Millis , P. Majumdar , Z. Tesanovic

Dirac and Weyl semimetals are new discovered topological nontrivial materials with the linear band dispersions around the Dirac/Weyl points. When applying non-orthogonal electric current and magnetic field, an exotic phenomenon called…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Qianqian Liu , Bo Chen , Boyuan Wei , Shuai Zhang , Minhao Zhang , Faji Xie , Muhammad Naveed , Fucong Fei , Baigen Wang , Fengqi Song

The interactions between conduction electrons and magnetism can significantly enhance the Hall signal, a phenomenon known as the anomalous Hall effect (AHE). While the AHE is generally not expected in antiferromagnets, a large AHE is…

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