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Hall effects have been employed as sensitive detectors of magnetic fields and magnetizations. In spintronics, exotic phenomena often emerge from a non-equilibrium spin polarization or magnetization, that is very difficult to measure…

Mesoscale and Nanoscale Physics · Physics 2016-08-04 Dazhi Hou , Z. Qiu , R. Iguchi , K. Sato , K. Uchida , G. E. W. Bauer , E. Saitoh

The wavefuntion of conduction electrons moving in the background of a non-coplanar spin structure can gain a quantal phase - Berry phase - as if the electrons were moving in a strong fictitious magnetic field. Such an emergent magnetic…

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

The discovery of altermagnet (AM) marks a significant advancement in magnetic materials, combining characteristics of both ferromagnetism and antiferromagnetism. In this Letter, we focus on CrSb, which has been verified to be an AM and to…

We show that an electric field applied to a strained topological Dirac semimetal, such as Na3Bi and Cd3As2, induces a spin Hall current that is quadratic in the electric field. By regarding the strain as an effective "axial magnetic field"…

Mesoscale and Nanoscale Physics · Physics 2019-05-13 Yasufumi Araki

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

It is proposed that when a charge current circulates in a paramagnetic metal a transverse spin imbalance will be generated, giving rise to a 'spin Hall voltage'. Similarly, that when a spin current circulates a transverse charge imbalance…

Strongly Correlated Electrons · Physics 2009-10-31 J. E. Hirsch

The anomalous Hall effect (AHE) is a topology-related transport phenomenon being of potential interest in spintronics, because this effect enables the efficient probe of magnetic orders (i.e., data readout in memory devices). It is well…

Materials Science · Physics 2025-12-19 Longju Yu , Hong Jian Zhao , Yurong Yang , Laurent Bellaiche , Yanming Ma

The anomalous Hall {\color{black} e}ffect (AHE) has emerged as a key indicator of time-reversal symmetry breaking (TRSB) and topological features in electronic band structures. Absent of a magnetic field, the AHE requires spontaneous TRSB…

The fractional quantum Hall effect (FQHE) realized in two-dimensional electron systems under a magnetic field is one of the most remarkable discoveries in condensed matter physics. Interestingly, it has been proposed that FQHE can also…

Strongly Correlated Electrons · Physics 2014-09-16 Shou-Shu Gong , Wei Zhu , D. N. Sheng

A unified theory of the anomalous Hall effect (AHE) is presented for multi-band ferromagnetic metallic systems with dilute impurities. In the clean limit, the AHE is mostly due to the extrinsic skew-scattering. When the Fermi level is…

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

Altermagnets are a recently discovered class of magnetic materials that combine a collinear, zero-magnetization spin structure, characteristic of antiferromagnets, with spin-split electronic bands, a hallmark of ferromagnets. This unique…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 Rui Chen , Bin Zhou , Dong-Hui Xu

The Hall effect arises when time reversal symmetry is broken by either intrinsic magnetism or an external magnetic field. The latter contribution dominates in non-magnetic materials, in which the angular dependence of the Hall effect is…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Joshua Mutch , Xuetao Ma , Chong Wang , Paul Malinowski , Joss Ayres-Sims , Qianni Jiang , Zhaoyu Liu , Di Xiao , Matthew Yankowitz , Jiun-Haw Chu

We investigate topological Hall effects in a metallic antiferromagnetic (AFM) thin film and/or at the interface of an AFM insulator-normal metal bilayer with a single skyrmion in the diffusive regime. To determine the spin and charge Hall…

Mesoscale and Nanoscale Physics · Physics 2024-01-08 Amir N. Zarezad , Józef Barnaś , Anna Dyrdał , Alireza Qaiumzadeh

The anomalous Hall effect in ferromagnetic metals is classified into two based on the mechanism. The first one is the intrinsic Hall effect due to the Berry curvature in momentum space; this is a Hall effect that solely arises from the band…

Mesoscale and Nanoscale Physics · Physics 2017-10-19 Hiroaki Ishizuka , Naoto Nagaosa

We predict a spin anomalous-Hall unidirectional magnetoresistance (AH-UMR) in conducting bilayers composed of a ferromagnetic layer and a nonmagnetic layer, which does $\textit{not}$ rely on the spin Hall effect in the normal metal…

Mesoscale and Nanoscale Physics · Physics 2022-05-30 M. Mehraeen , Steven S. -L. Zhang

Spin-orbit coupling in ferromagnets gives rise to the anomalous Hall effect and the anisotropic magnetoresistance, both of which can be used to create spin-transfer torques in a similar manner as the spin Hall effect. In this paper we show…

Materials Science · Physics 2014-11-19 Tomohiro Taniguchi , J. Grollier , M. D. Stiles

We used micromagnetic simulations to investigate the spatial distributions of the effective magnetic fields induced by spin chirality in crossed nanowires with three characteristic magnetic structures: a radiated-shape, an antivortex, and a…

Mesoscale and Nanoscale Physics · Physics 2017-04-03 Kenji Tanabe , Keisuke Yamada

Altermagnets have recently emerged as a new class of magnetic materials sharing properties of both antiferromagnets and ferromagnets. Despite very small net magnetization, they show phenomena usually associated with ferromagnetism, such as…

Materials Science · Physics 2025-06-03 Maxim Mostovoy

Magneto-nonlinear Hall effect is known to be intrinsic and requires time-reversal symmetry. Here we show that a new type of magneto-nonlinear Hall effect can occur in the time-reversal breaking materials within the second-order response to…

Mesoscale and Nanoscale Physics · Physics 2025-01-31 Anwei Zhang , Jun-Won Rhim