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The condensed-matter version of the chiral anomaly describes how electrons are pumped from a Weyl node with negative chirality to a Weyl node with positive chirality using parallel electric and magnetic fields. Key experimental signatures…

Mesoscale and Nanoscale Physics · Physics 2025-06-12 Yongjian Wang , Alexander Wowchik , Thomas Boemerich , A. A. Taskin , Achim Rosch , Yoichi Ando

The anomalous Hall effect is deemed to be a unique transport property of ferromagnetic metals, caused by the concerted action of spin polarization and spin-orbit coupling. Nevertheless, recent experiments have shown that the effect also…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 Steven S. -L. Zhang , Giovanni Vignale

We demonstrate the emergence of an anomalous Hall effect in chiral magnetic textures which is neither proportional to the net magnetization nor to the well-known emergent magnetic field that is responsible for the topological Hall effect.…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Fabian R. Lux , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

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

It is widely believed that the skyrmion Hall effect is absent in antiferromagnets because of the vanishing topological charge. However, the Aharonov-Casher theory indicates the possibility of topological effects for neutral particles. In…

Materials Science · Physics 2024-07-08 Zhejunyu Jin , Zhaozhuo Zeng , Yunshan Cao , Peng Yan

Altermagnets are a promising class of materials for spintronic applications. However, compounds that simultaneously combine the symmetry required to support an anomalous Hall effect with good metallic conductivity and magnetic ordering…

The anomalous Hall effect (AHE) can appear in certain antiferromagnetic metals when it is allowed by symmetry. Since the net magnetization is usually small in such anomalous Hall antiferromagnets, it is useful to have other physical…

Materials Science · Physics 2022-07-22 Hua Chen

We study the role played by electron-magnon scattering in the anomalous Hall effect. We find that it has important contributions distinct from other scattering processes like impurities scattering and phonon scattering. As a demonstration,…

Materials Science · Physics 2009-11-17 Shengyuan A. Yang , Hui Pan , Wong-Kong Tse , Qian Niu

We predict two spin-dependent transport phenomena in two-dimensional electron systems, which are induced by spatially fluctuating Rashba spin-orbit interaction. When the electron gas is magnetized, the random Rashba interaction leads to the…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 V. K. Dugaev , M. Inglot , E. Ya. Sherman , J. Berakdar , J. Barnas

The electrical Hall effect can be significantly enhanced through the interplay of the conduction electrons with magnetism, which is known as the anomalous Hall effect (AHE). Whereas the mechanism related to band topology has been…

Semiclassical chiral fermions manifest the anomalous spin-Hall effect: when put into a pure electric field they suffer a side jump, analogous to what happens to their massive counterparts in non-commutative mechanics. The transverse shift…

High Energy Physics - Theory · Physics 2014-10-16 P. -M. Zhang , P. A. Horváthy

Hall effect of two-dimensional holes that are spin-polarized by a strong parallel magnetic field was explored with a small tilt angle. The Hall resistivity increases nonlinearly with the magnetic field and exhibits negative corrections. The…

Mesoscale and Nanoscale Physics · Physics 2009-09-23 Hwayong Noh , S. Lee , S. H. Chun , H. C. Kim , L. N. Pfeiffer , K. W. West

Theoretically, the quantum anomalous Hall effect is characterized by a quantized Hall conductance. However, many experiments only reported the quantization of the Hall resistance, which is accompanied by a non-vanishing longitudinal…

Mesoscale and Nanoscale Physics · Physics 2023-07-18 Rui Chen , Hai-Peng Sun , Bin Zhou , Dong-Hui Xu

We find the extrinsic anomalous Hall conductivity (AHC) to be comparable to the intrinsic one in roughly half of the altermagnetic spin Laue groups in the limit of large exchange splitting. In materials with a finite Dzyaloshinskii-Moriya…

Mesoscale and Nanoscale Physics · Physics 2025-11-06 A. Osin , A. Levchenko , M. Khodas

Magnetic impurities play an important role in many spintronics-related materials. Motivated by this fact, we study the anomalous Hall effect in the presence of magnetic impurities, focusing on two-dimensional electron systems with Rashba…

Materials Science · Physics 2009-11-13 Tamara S. Nunner , Gergely Zarand , Felix von Oppen

The anomalous Hall effect in a magnetic two-dimensional electron gas with Rashba spin-orbit coupling is studied within the Kubo-Streda formalism in the presence of pointlike potential impurities. We find that all contributions to the…

Despite time-reversal breaking in momentum space, several altermagnets remain electrically silent to the primary characterization tool anomalous Hall effect, due to crystalline symmetries, jeopardizing their experimental identification.…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Kamal Das , Binghai Yan

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

Altermagnets are a recently discovered class of compensated magnets with momentum-dependent spin splittings and unusual transport properties, even without a net magnetization. In the presence of combined four-fold rotation and time-reversal…

Mesoscale and Nanoscale Physics · Physics 2025-10-17 Arnob Mukherjee , Biplab Sanyal , Annica M. Black-Schaffer , Ankita Bhattacharya

We theoretically investigate the intrinsic anomalous Hall effect in two magnetically ordered systems: One is the ferromagnetic dipole system, and the other is the anisotropic magnetic dipole system, the latter of which has been proposed as…

Mesoscale and Nanoscale Physics · Physics 2024-12-12 Satoru Ohgata , Satoru Hayami