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The origin of anomalous Hall effect (AHE) in magnetic materials is one of the most intriguing aspect in condensed matter physics and has been controversial for a long time. Recent studies indicate that the intrinsic AHE is closely related…

Strongly Correlated Electrons · Physics 2018-09-13 Qi Wang , Yuanfeng Xu , Rui Lou , Zhonghao Liu , Man Li , Yaobo Huang , Dawei Shen , Hongming Weng , Shancai Wang , Hechang Lei

We introduce the intrinsic nonlinear planar thermal Hall effect (NPTHE)-- a dissipationless thermal response proportional to $(\nabla T)^2B$, which arises when the temperature gradient $\nabla T$ and magnetic field $\mathbf{B}$ lie within…

Materials Science · Physics 2025-11-21 Chanchal K. Barman

We have studied the anomalous Hall effect (AHE) in strained thin films of the frustrated antiferromagnet Mn$_{3}$NiN. The AHE does not follow the conventional relationships with magnetization or longitudinal conductivity and is enhanced…

Strongly Correlated Electrons · Physics 2019-10-02 David Boldrin , Ilias Samathrakis , Jan Zemen , Andrei Mihai , Bin Zou , Bryan Esser , Dave McComb , Peter Petrov , Hongbin Zhang , Lesley F. Cohen

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

The search for kagome magnets with unconventional magnetic and electronic properties has gained significant attention in recent years. We report the magnetic, electronic, and thermoelectric properties of Fe3Ge single crystals, where the Fe…

The intrinsic anomalous Hall effect (IAHE) provides a powerful transport fingerprint of quantum magnets, with its linear and second-order responses distinguishing ferromagnets and $\mathcal{P}\mathcal{T}$-symmetric antiferromagnets,…

Materials Science · Physics 2026-04-30 Longjun Xiang , Hao Jin , Jian Wang

The anomalous Hall effect (AHE), which in long-range ordered ferromagnets appears as a voltage transverse to the current and usually is proportional to the magnetization, often is believed to be of negligible size in antiferromagnets due to…

The study of the non-linear anomalous Hall effect (NLAHE) in $\mathcal{P}\mathcal{T}$-symmetric systems has focussed on intrinsic mechanisms. Here we show that disorder contributes substantially to NLAHE and often overwhelms intrinsic…

Mesoscale and Nanoscale Physics · Physics 2023-11-23 Rhonald Burgos Atencia , Di Xiao , Dimitrie Culcer

The quantum anomalous Hall effect (QAHE) hosts the dissipationless chiral edge states associated with the nonzero Chern number, providing potentially significant applications in future spintronics. The QAHE usually occurs in a…

Strongly Correlated Electrons · Physics 2018-08-08 Y. J. Jin , R. Wang , B. W. Xia , B. B. Zheng , H. Xu

The discovery of the intrinsic anomalous Hall effect (AHE) in noncollinear antiferromagnets where transverse Hall voltage emerges without magnetic field, has opened a plethora of promising opportunities in antiferromagnetic devices. The key…

The topology between Bloch states in reciprocal space has attracted tremendous attention in recent years. The quantum geometry of the band structure is composed of quantum metric as real part and berry curvature as imaginary part. While the…

Materials Science · Physics 2023-12-12 Junjian Mi , Jialin Li , Miaocong Li , Sheng Xu , Shuang Yu , Zheng Li , Xinyi Fan , Huanfeng Zhu , Qian Tao , Linjun Li , Zhuan Xu

Berry phase and Berry curvature play a key role in the development of topology in physics and do contribute to the transport properties in solid state systems. In this paper, we report the finding of novel nonzero Hall effect in topological…

Mesoscale and Nanoscale Physics · Physics 2020-12-22 Jun Ge , Da Ma , Yanzhao Liu , Huichao Wang , Yanan Li , Jiawei Luo , Tianchuang Luo , Ying Xing , Jiaqiang Yan , David Mandrus , Haiwen Liu , X. C. Xie , Jian Wang

The recently discovered nonlinear Hall (NLH) effect arises either without external magnetic field (type-I) or with an in-plane magnetic field (type-II). In this work we propose a new type of geometrical nonlinear Hall effect with an…

Materials Science · Physics 2024-09-16 Junjie Yao , Yizhou Liu , Wenhui Duan

Optoelectronic and nonlinear transport experiments probe the quantum geometric tensor of Bloch states, whose real and imaginary components -- the quantum metric and the Berry curvature -- are typically constrained by symmetry. Here, we show…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Maria Teresa Mercaldo , Mario Cuoco , Carmine Ortix

We report the observation of a pronounced third-order nonlinear Hall effect (NLHE) in 1$T$-phase VSe$_2$ nanosheets, synthesized using chemical vapor deposition (CVD). The nanosheets exhibit a charge density wave (CDW) transition at…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Zhao-Hui Chen , Xin Liao , Jing-Wei Dong , Xing-Yu Liu , Tong-Yang Zhao , Dong Li , An-Qi Wang , Zhi-Min Liao

The observation of a Hall effect, a finite transverse voltage induced by a longitudinal current, usually requires the breaking of time-reversal symmetry, for example through the application of an external magnetic field or the presence of…

Mesoscale and Nanoscale Physics · Physics 2024-11-15 Patrick W. Krantz , Alexander Tyner , Pallab Goswami , Venkat Chandrasekhar

This review presents recent breakthroughs in the realm of nonlinear Hall effects, emphasizing central theoretical foundations and recent experimental progress. We elucidate the quantum origin of the second-order Hall response, focusing on…

Mesoscale and Nanoscale Physics · Physics 2024-05-21 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

The anomalous Hall and Nernst effects describe the voltage drop perpendicular to an applied current and temperature gradient due to the magnetization of a magnetic material. These effects can be utilized to measure the Berry curvature at…

Strongly Correlated Electrons · Physics 2024-02-01 Longfei Li , Shuyue Guan , Shengwei Chi , Jiawei Li , Xinxuan Lin , Gang Xu , Shuang Jia

The Mn3X family of compounds was the first in which a large anomalous Hall effect (AHE) was predicted to arise from a purely antiferromagnetic structure, due to the Berry curvature in momentum space. Nearly simultaneously with this…

The Berry curvature dipole is well-known to cause Hall conductivity. This study expands on previous results to demonstrate how two- and three-dimensional materials react under a tilted magnetic field in the linear and nonlinear regimes. We…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 Narjes Kheirabadi , YuanDong Wang