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Related papers: URhGe -- Altermagnetic Ferromagnet

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The appearance of a Hall conductance necessarily requires breaking of time-reversal symmetry, either by an external magnetic field or by the internal magnetization of a material. However, as a second response, Hall dissipationless…

Mesoscale and Nanoscale Physics · Physics 2021-07-23 Carmine Ortix

The Pauli exclusion principle combined with interactions between fermions is a basic mechanism across condensed-matter systems giving rise to a spontaneous breaking of the spin-space rotation symmetry of spin-ordered phases. Ferromagnetism…

Materials Science · Physics 2025-03-13 T. Jungwirth , R. M. Fernandes , E. Fradkin , A. H. MacDonald , J. Sinova , L. Smejkal

It is pointed out that in ferromagnetic metals a contribution to the Hall voltage arises when a non-zero spin current exists, which is generally the case in the presence of a charge current. This contribution is independent of any…

Strongly Correlated Electrons · Physics 2009-10-31 J. E. Hirsch

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

The Berry curvature dipole induced by symmetry breaking play a pivotal role in electronic transport properties and nonlinear responses, such as the nonlinear Hall effect and circular photogalvanic effect. The study of the Berry curvature…

Materials Science · Physics 2026-03-05 Wenzhe Zhou , Dehe Zhang , Guibo Zheng , Yinheng Li , Fangping Ouyang

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

A ferromagnet with spin anisotropies on the 2D Kagome lattice is theoretically studied. This is a typical example of the flat-band ferromagnet. The Berry phase induced by the tilting of the spins opens the band gap and quantized Hall…

Strongly Correlated Electrons · Physics 2009-10-31 Kenya Ohgushi , Shuichi Murakami , Naoto Nagaosa

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

The canonical commutation relations in quantum mechanics are not maintained in the anomalous Hall effect described by Berry's phase in the presence of the electromagnetic vector potential. To define quantum mechanical formulation, one may…

Strongly Correlated Electrons · Physics 2023-10-04 Kazuo Fujikawa , Koichiro Umetsu

In ferromagnetic solids, even in absence of magnetic field, a transverse voltage can be generated by a longitudinal temperature gradient. This thermoelectric counterpart of the Anomalous Hall effect (AHE) is dubbed the Anomalous Nernst…

Materials Science · Physics 2020-04-02 Haiyang Yang , Wei You , Jialu Wang , Junwu Huang , Chuanying Xi , Chao Cao , Mingliang Tian , Zhu-An Xu , Jianhui Dai , Yuke Li

Recent magnetotransport studies on uniaxial ferromagnets have reported a cusplike feature in Hall resistivity when the magnetic field is tilted away from the conventional orthogonal direction of the Hall measurement. This feature has often…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Banik Rai , Nitesh Kumar

We investigate electron pairing in the presence of the Berry curvature field that ubiquitously exists in ferromagnetic metals with spin-orbit coupling. We show that a sufficiently strong Berry curvature field on the Fermi surface can…

Superconductivity · Physics 2007-05-23 Junren Shi , Qian Niu

In this paper, we report an experimental observation of the large anomalous Hall effect (AHE) in a hexagonal ferromagnetic Fe5Sn3 single crystal with current along the b axis and a magnetic field normal to the bc plane. The intrinsic…

"Photonic crystals" built with time-reversal-symmetry-breaking Faraday-effect media can exhibit "chiral" edge modes that propagate unidirectionally along boundaries across which the Faraday axis reverses. These modes are precise analogs of…

Mesoscale and Nanoscale Physics · Physics 2009-04-26 S. Raghu , F. D. M. Haldane

This work reports a study of the nonlinear Hall Effect (HE) in the semimetallic ferromagnet EuB6. A distinct switch in its Hall resistivity slope is observed in the paramagnetic phase, which occurs at a single critical magnetization over a…

Strongly Correlated Electrons · Physics 2009-09-01 Xiaohang Zhang , Liuqi Yu , Stephan von Molnar , Zachary Fisk , Peng Xiong

Ferromagnetism can be characterized by various unique phenomena such as non-zero magnetization (inducing magnetic attraction/repulsion), diagonal piezomagnetism, nonreciprocal circular dichroism (such as Faraday effect), odd-order…

Materials Science · Physics 2024-01-26 Sang-Wook Cheong , Fei-Ting Huang

Frustrated itinerant ferromagnets, with non-collinear static spin structures, are an exciting class of material as their spin chirality can introduce a Berry phase in the electronic scattering and lead to exotic electronic phenomena such as…

Strongly Correlated Electrons · Physics 2018-09-17 L A Fenner , A A Dee , A S Wills

Topologically non-trivial states characterized by Berry curvature appear in a number of materials ranging from spin-orbit-coupling driven topological insulators to graphene. In multivalley conductors, such as mono- and bilayer graphene,…

Mesoscale and Nanoscale Physics · Physics 2019-12-20 Sergey Slizovskiy , Edward McCann , Mikito Koshino , Vladimir I. Fal'ko

As opposed to the ordinary Hall effect, the anomalous Hall effect (AHE) remained unexplained for decades, and, amazingly, some misconceptions have survived even now, in particular, the claim that AHE is linearly related to the net…

Materials Science · Physics 2026-04-09 Surasree Sadhukhan , Stepan S. Tsirkin , Yaroslav Zhumagulov , Igor. I. Mazin

The recent discoveries of surperisingly large anomalous Hall effect in chiral antiderromagnets have triggered extensive research efforts in various fields, ranging from topological condensed-matter physics to antiferromagnetic spintronics,…

Materials Science · Physics 2024-02-27 Linxuan Song , Feng Zhou , Hang Li , Bei Ding , Xue Li , Xuekui Xi , Yuan Yao , Yong-Chang Lau , Wenhong Wang