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The Hall effect, particularly that arising from in-plane magnetic field, has recently emerged as a sensitive probe of quantum geometric properties in solids. Especially in trigonal systems, in-plane anomalous Hall effect (AHE) can be…

We search for dynamical magnetoelectric phenomena in three-dimensional correlated systems with spin-orbit coupling. We focus on the antiferromagnetic insulator phases where the dynamical axion field is realized by the fluctuation of the…

Strongly Correlated Electrons · Physics 2016-03-02 Akihiko Sekine , Kentaro Nomura

A new type of anomalous Hall effect is shown to arise from the interaction of conduction electrons with dipolar spin waves in ferromagnets. This effect exists even in homogeneous ferromagnets without relativistic spin-orbit coupling. The…

Materials Science · Physics 2015-10-14 Kei Yamamoto , Koji Sato , Eiji Saitoh , Hiroshi Kohno

The polar Kerr effect and the closely related anomalous charge Hall effect are among the most distinguishing signatures of the superconducting state in Sr$_2$RuO$_4$, as well as in several other compounds. These effects are often thought to…

Superconductivity · Physics 2024-03-28 Jia-Long Zhang , Weipeng Chen , Hao-Tian Liu , Yu Li , Zhiqiang Wang , Wen Huang

The anomalous Hall effect has been indispensable in our understanding of numerous magnetic phenomena. This concerns both ferromagnetic materials, as well as diverse classes of antiferromagnets, where in addition to the anomalous and crystal…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 J. Kipp , K. Samanta , F. R. Lux , M. Merte , J. -P. Hanke , M. Redies , F. Freimuth , S. Blügel , M. Ležaić , Y. Mokrousov

We identify an intrinsic mechanism of the anomalous Hall effect for non-symmorphic chiral superconductors. This mechanism relies on both a nontrivial multi-band chiral superconducting order parameter, which is a mixture of pairings of even…

Superconductivity · Physics 2017-11-22 Zhiqiang Wang , John Berlinsky , Gertrud Zwicknagl , Catherine Kallin

We identify an intrinsic Hall effect in multiband chiral superconductors in the absence of a magnetic field (i.e., an anomalous Hall effect). This effect arises from interband transitions involving time-reversal symmetry-breaking chiral…

Superconductivity · Physics 2015-03-19 Edward Taylor , Catherine Kallin

Building on previous work, we calculate the temperature- and frequency-dependent {\it anomalous} Hall conductivity for the putative multiband chiral superconductor $\Sr$ using a simple microscopic two-orbital model without impurities. A…

Superconductivity · Physics 2013-08-01 Edward Taylor , Catherine Kallin

Previous studies on the anomalous Hall effect in coplanar non-collinear antiferromagnets are revisited and extended to magneto-optic properties, namely magneto-optic Kerr effect (MOKE) and X-ray magnetic dichroism (XMCD). Starting from…

Materials Science · Physics 2020-01-01 Sebastian Wimmer , Sergiy Mankovsky , Ján Minár , Alexander N. Yaresko , Hubert Ebert

Electrical readout of 180$^\circ$ switching in strictly compensated collinear antiferromagnets remains a major challenge in antiferromagnetic spintronics. Electrical writing of perpendicularly magnetized ferromagnets by out-of-plane orbital…

Materials Science · Physics 2026-04-06 Hui Wang , Huiying Liu , Yanfeng Ge , Xukun Feng , Jiaojiao Zhu , Jin Cao , Cong Xiao , Shengyuan A. Yang , Lay Kee Ang

In a two-dimensional electron gas, the quantized Hall conductance can be induced by a strong magnetic field, known as the quantum Hall effect, and it can also result from the strong exchange coupling of magnetic ions, dubbed as the "quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Xin Liu , Hsiu-Chuan Hsu , Chao-Xing Liu

The anomalous Hall effect, observed in conducting ferromagnets with broken time-reversal symmetry, offers the possibility to couple spin and orbital degrees of freedom of electrons in ferromagnets. In addition to charge, the anomalous Hall…

Materials Science · Physics 2018-07-04 Yumeng Yang , Ziyan Luo , Haijun Wu , Yanjun Xu , Run-Wei Li , Stephen J. Pennycook , Shufeng Zhang , Yihong Wu

Noncollinear antiferromagnets can generate a transverse electrical response known as the anomalous Hall effect, even though they possess almost no net magnetization. The microscopic origin of this behaviour, however, has remained unclear…

We calculate the anomalous Hall conductance of superconductors with spin-orbit interaction and with either uniform or local magnetization. In the first case we consider a uniform ferromagnetic ordering in a spin triplet superconductor,…

Superconductivity · Physics 2015-06-03 P. D. Sacramento , M. A. N. Araujo , V. R. Vieira , V. K. Dugaev , J. Barnas

The phenomena of odd-parity magnetoresistance and the planar Hall effect are deeply entwined with ferromagnetism. The intrinsic magnetization of the ordered state permits these unusual and rarely observed manifestations of Onsager's theorem…

Strongly Correlated Electrons · Physics 2020-01-14 Yishu Wang , Patrick A. Lee , D. M. Silevitch , F. Gomez , S. E. Cooper , Y. Ren , J. -Q. Yan , D. Mandrus , T. F. Rosenbaum , Yejun Feng

Electrons in moir\'e flat band systems can spontaneously break time reversal symmetry, giving rise to a quantized anomalous Hall effect. Here we use a superconducting quantum interference device to image stray magnetic fields in one such…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 C. L. Tschirhart , M. Serlin , H. Polshyn , A. Shragai , Z. Xia , J. Zhu , Y. Zhang , K. Watanabe , T. Taniguchi , M. E. Huber , A. F. Young

Geometric Berry phase can be induced either by spin-orbit coupling, giving rise to the anomalous Hall effect in ferromagnetic materials, or by chiral spin texture, such as skyrmions, leading to the topological Hall effect. Recent…

Mesoscale and Nanoscale Physics · Physics 2018-09-10 Jian-Xiao Zhang , Domenico Andreoli , Jiadong Zang , Chao-Xing Liu

Reading antiferromagnetic order remains a central obstacle for antiferromagnetic memory and logic because zero net magnetisation precludes conventional magnetic readout. Domain imaging typically relies on x-ray magnetic linear dichroism…

The in-plane anomalous Hall effect occurs when magnetization lies within the same plane as the electric field and Hall current, and requires magnetic point groups lacking rotational or mirror symmetries. While it is observed in both Weyl…

Materials Science · Physics 2026-01-12 Hiroto Saito , Takashi Koretsune

Long-range magnetic textures, such as magnetic skyrmion, give rise to rich transport properties in magnetic metals, such as the anomalous Hall effect related to spin chirality, a.k.a. topological Hall effect. In addition to the topological…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Ryunosuke Terasawa , Hiroaki Ishizuka
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