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The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

The exploration of nontrivial transport phenomena associated with the interplay between magnetic order and spin-orbit coupling (SOC), particularly in van der Waals (vdW) systems has gained a resurgence of interest due to their easy…

The mechanism of the anomalous Hall transport phenomena, if it is of the intrinsic or extrinsic origin, has been controversial. We present a unified theory of them for ferromagnetic metals with dilute impurities at the zero temperature, in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

Investigating the off-diagonal components of the conductivity and thermoelectric tensor of materials hosting complex antiferromagnetic structures has become a viable method to reveal the effects of topology and chirality on the electronic…

We study the energy spectrum and electronic properties of graphene in a periodic magnetic field of zero average with a symmetry of triangular lattice. The periodic field leads to formation of a set of minibands separated by gaps, which can…

Materials Science · Physics 2015-05-30 M. Taillefumier , V. K. Dugaev , B. Canals , C. Lacroix , P. Bruno

The use of Berry-phase concepts has established a strong link between the anomalous Hall effect (AHE) and the topological character of the Hall currents. However, the occurrence of sign competition in the Berry curvature often hinders the…

Strongly Correlated Electrons · Physics 2025-09-19 Wojciech Brzezicki , Carmine Autieri , Mario Cuoco

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

As one of the most fundamental physical phenomena, the anomalous Hall effect (AHE) typically occurs in ferromagnetic materials but is not expected in the conventional superconductors. Here, we have observed a giant AHE in kagome…

Strongly Correlated Electrons · Physics 2021-07-14 F. H. Yu , T. Wu , Z. Y. Wang , B. Lei , W. Z. Zhuo , J. J. Ying , X. H. Chen

The quantum anomalous Hall effect is a intriguing quantum state which exhibits the chiral edge states in the absence of magnetic field. While the search for quantum anomalous Hall insulators is still active, the researchers mainly search…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Ping Li , Tian-Yi Cai

Recently, the semiclassical theory of the anomalous Hall effect induced by the Berry curvature in Bloch bands has been introduced. The theory operates only with gauge invariant concepts, that have a simple semiclassical interpretation and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. A. Sinitsyn

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

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

A comparative study of anomalous-Hall current injection and anisotropic current injection (through planar Hall effect) are studied in Hall devices contacted to a lateral load circuit. Hall currents are injected into the load circuit from…

Mesoscale and Nanoscale Physics · Physics 2025-10-06 V. Desbuis , D. Lacour , M. Hehn , S. Geiskopf , L. Michez , J. Rial , V. Baltz , J. -E. Wegrowe

We present magnetotransport data on the ferrimagnet GdMn$_6$Sn$_6$. From the temperature dependent data we are able to extract a large instrinsic contribution to the anomalous Hall effect $\sigma_{xz}^{int} \sim$ 32 $\Omega^{-1}cm^{-1}$ and…

Strongly Correlated Electrons · Physics 2020-07-30 T. Asaba , S. M. Thomas , M. Curtis , J. D. Thompson , E. D. Bauer , F. Ronning

Topological magnetic materials are expected to show multiple transport responses because of their unusual bulk electronic topology in momentum space and topological spin texture in real space. However, such multiple topological…

Materials Science · Physics 2024-08-05 Hang Li , Feng Zhou , Bei Ding , Jie Chen , Linxuan Song , Wenyun Yang , Yong-Chang Lau , Jinbo Yang , Yue Li , Yong Jiang , Wenhong Wang

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

We investigate the pressure evolution of the anomalous Hall effect in magnetic topological semimetal Co3Sn2S2 in diamond anvil cells with pressures up to 44.9-50.9 GPa. No evident trace of structural phase transition is detected through…

We study the quantum anomalous Hall effect in a strip of stripes model coupled to a magnetic texture with zero total magnetization and in the presence of strong electron-electron interactions. A helical magnetization along the stripes and a…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Jelena Klinovaja , Yaroslav Tserkovnyak , Daniel Loss

Altermagnets, recently proposed as a third category of collinear magnets, combine the features of zero net magnetization in antiferromagnets and the spin splitting in ferromagnets. While abundant spectroscopic evidence for altermagnetism…

Materials Science · Physics 2026-04-24 Wenbo Wan , Xu Zhang , Yixuan Luo , Yanfeng Guo , Shiyan Li

The Mott relation between the electrical and thermoelectric transport coefficients normally holds for phenomena involving scattering. However, the anomalous Hall effect (AHE) in ferromagnets may arise from intrinsic spin-orbit interaction.…

Mesoscale and Nanoscale Physics · Physics 2008-09-12 Yong Pu , Daichi Chiba , Fumihiro Matsukura , Hideo Ohno , Jing Shi