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The electrical Hall effect is the production of a transverse voltage under an out-of-plane magnetic field. Historically, studies of the Hall effect have led to major breakthroughs including the discoveries of Berry curvature and the…

Appropriate symmetry breaking generates an anomalous Hall (AH) effect, even in antiferromagnetic (AFM) materials. Itinerant magnets with $d$ electrons are typical examples that show a significant response. By contrast, the process by which…

Strongly Correlated Electrons · Physics 2024-09-09 Hisashi Kotegawa , Hiroto Tanaka , Yuta Takeuchi , Hideki Tou , Hitoshi Sugawara , Junichi Hayashi , Keiki Takeda

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

Anomalous transports, including the anomalous Hall effect (AHE) and anomalous Nernst effect (ANE), are typical manifestations of time-reversal-symmetry-breaking responses in materials. In general, the two Hall states with opposite Hall…

Mesoscale and Nanoscale Physics · Physics 2026-01-09 Dan Li , Shuaiyu Wang , Jiabin chen , Zeling Li , Chaoxi Cui , Lei Li , Lei Wang , Zhi-Ming Yu , Xiaodong Zhou , Xiao-Ping Li

It is rarely reported that collinear antiferromagnetic (AFM) metals can have anomalous Hall effect (AHE). In this letter, based on symmetry analysis and the first-principles electronic structure calculations, we predict that two existing…

Materials Science · Physics 2024-03-20 Xiao-Yao Hou , Huan-Cheng Yang , Zheng-Xin Liu , Peng-Jie Guo , Zhong-Yi Lu

Thermodynamic and transport properties are reported on single crystals of the hexagonal antiferromagnet Mn$_3$Sn grown by the Sn flux technique. Magnetization measurements reveal two magnetic phase transitions at $T_1$ = 275 K and $T_2$ =…

Materials Science · Physics 2018-04-03 N. H. Sung , F. Ronning , J. D. Thompson , E. D. Bauer

Altermagnetism is introduced as a category of magnetic states with vanishing net magnetic moment, and consists of collinear alternating (i.e., antiferromagnetic-like) spins and alternating variations of local structures around spins in such…

Strongly Correlated Electrons · Physics 2024-01-26 Sang-Wook Cheong , Fei-Ting Huang

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

The large anomalous Hall effect (AHE) in antiferromagnetic (AF) materials arises from symmetry breaking equivalent to a ferromagnetic (FM) state. Consequently, this suggests that the observed AHE is induced by the intrinsic mechanism of the…

Mesoscale and Nanoscale Physics · Physics 2024-06-28 Yuki Arai , Junichi Hayashi , Keiki Takeda , Hideki Tou , Hitoshi Sugawara , Hisashi Kotegawa

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

We theoretically investigate an intrinsic nonlinear anomalous Hall effect (INAHE) in space-time ($\mathcal{PT}$) symmetric antiferromagnetic metals. The INAHE is characterized by an asymmetric and non-dissipative part of the second-order…

Strongly Correlated Electrons · Physics 2023-04-10 Akimitsu Kirikoshi , Satoru Hayami

It is well established that the anomalous Hall effect that a ferromagnet displays scales with its magnetization. Therefore, an antiferromagnet that has no net magnetization should exhibit no anomalous Hall effect. Here we show that the…

Antiferromagnetic (AFM) spintronics exploits the N\'eel vector as a state variable for novel spintronic devices. Recent studies have shown that the field-like and antidamping spin-orbit torques (SOT) can be used to switch the N\'eel vector…

Materials Science · Physics 2020-02-18 Ding-Fu Shao , Shu-Hui Zhang , Gautam Gurung , Wen Yang , Evgeny Y. Tsymbal

The time-reversal symmetry ($\mathcal{T}$) breaking is a signature of ferromagnetism, giving rise to such phenomena as the anomalous Hall effect (AHE) and orbital magnetism. Nevertheless, $\mathcal{T}$ can be also broken in certain classes…

Materials Science · Physics 2026-04-10 I. V. Solovyev

The anomalous Hall effect (AHE) and anomalous Nernst effect (ANE) are the transverse transport phenomena in magnetic materials, which reflect the Berry curvature arising from the electronic structure near the Fermi level. Lattice strain…

Insulating altermagnets like MnTe exhibit spin configurations where opposing spins are not only aligned antiparallel but also rotated relative to each other. This is an arrangement reminiscent of antiferromagnetism with a twist of spin…

Mesoscale and Nanoscale Physics · Physics 2025-09-04 Partha Goswami

The Hall effect, in which current flows perpendicular to an applied electrical bias, has played a prominent role in modern condensed matter physics over much of the subject's history. Appearing variously in classical, relativistic and…

Materials Science · Physics 2021-07-08 Libor Smejkal , Allan H. MacDonald , Jairo Sinova , Satoru Nakatsuji , Tomas Jungwirth

Progress in magnetoelectric materials is hindered by apparently contradictory requirements for time-reversal symmetry broken and polar ferroelectric electronic structure in common ferromagnets and antiferromagnets. Alternative routes could…

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

The recent studies on the anomalous Hall effect (AHE) have revealed an intrinsic relationship between the topological band structure and the experimentally observed transverse conductivity. Consequently, this has led to a heightened focus…