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The anomalous velocity term in the semiclassical model of a Bloch electron deviates the trajectory from the conventional one. When the Berry curvature (alias noncommutative parameter) is a monopole in momentum space as found recently in…

Mesoscale and Nanoscale Physics · Physics 2010-04-05 P. A. Horvathy

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

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

We present a theory of the Anomalous Hall Effect (AHE) in ferromagnetic (Ga,Mn)As in the regime when conduction is due to phonon-assisted hopping of holes between localized states in the impurity band. We show that the microscopic origin of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. A. Burkov , Leon Balents

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

Based on ab initio calculations, we predict that a monolayer of Cr-doped (Bi,Sb)2Te3 and GdI2 heterostructure is a quantum anomalous Hall insulator with a non-trivial band gap up to 38 meV. The principle behind our prediction is that the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Gang Xu , Jing Wang , Claudia Felser , Xiao-Liang Qi , Shou-Cheng Zhang

Skew scattering on rare impurity configurations is shown to dominate the anomalous Hall effect in a 2D Rashba ferromagnet. The mechanism originates in scattering on rare impurity pairs separated by distances of the order of the Fermi wave…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

Anomalous Hall Effect (AHE) response in magnetic systems is typically proportional to an out-of-plane magnetization component because of the restriction imposed by system symmetries, which demands that the magnetization, applied electric…

We study the anomalous Hall effect in monolayers of transition-metal dichalcogenides 2H-$MX_2$ ($M$=Mo, W, and $X$=S, Se, Te) under a proximity effect of ferromagnetic substrate. If a proximity-induced exchange field is introduced, the…

Mesoscale and Nanoscale Physics · Physics 2017-08-10 Tetsuro Habe , Mikito Koshino

While the anomalous Hall effect can manifest even without an external magnetic field, time reversal symmetry is nonetheless still broken by the internal magnetization of the sample. Recently, it has been shown that certain materials without…

Generally, the dissipationless Hall effect in solids requires time-reversal symmetry breaking (TRSB), where TRSB induced by external magnetic field results in ordinary Hall effect, while TRSB caused by spontaneous magnetization gives rise…

The spontaneous Hall effect, corresponding to a zero-field anomalous Hall effect (AHE), is induced by symmetry breaking associated with ferromagnetism. Studies in recent years, however, have revealed that antiferromagnetic (AFM) states…

The sensing performance of anomalous Hall effect (AHE) magnetic sensors is investigated in terms of their sensitivity, the power spectrum of their voltage noise, and their detectivity. Special attention is paid to the effect of the…

Mesoscale and Nanoscale Physics · Physics 2025-05-05 Hiroko Arai , Hiroshi Imamura

The anomalous Hall effect in two-dimensional ferromagnets is discussed to be the physical realization of the parity anomaly in (2+1)D, and the band crossing points behave as the topological singularity in the Brillouin zone. This appears as…

Strongly Correlated Electrons · Physics 2009-11-07 Masaru Onoda , Naoto Nagaosa

The interplay of magnetism and topology opens up the possibility for exotic linear response effects, such as the anomalous Hall effect and the anomalous Nernst effect, which can be strongly enhanced by designing a strong Berry curvature in…

Materials Science · Physics 2020-03-30 Jonathan Noky , Yang Zhang , Claudia Felser , Yan Sun

The origin of the Hall effect in many itinerant ferromagnets is still not resolved, with an anomalous contribution from the sample magnetization that can exhibit extrinsic or intrinsic behavior. We report the first mid-infared (MIR)…

Strongly Correlated Electrons · Physics 2015-05-14 M. -H. Kim , G. Acbas , M. -H. Yang , M. Eginligil , P. Khalifah , I. Ohkubo , H. Christen , D. Mandrus , Z. Fang , J. Cerne

We investigate anomalous Hall effect in a magnet coupled to a triplet superconductor under phase gradient. It is found that the anomalous Hall supercurrent arises from non-trivial structure of the magnetization. The magnetic structure…

Mesoscale and Nanoscale Physics · Physics 2015-11-17 Takehito Yokoyama

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

The anomalous Hall effect in a multiband tight-binding model is numerically studied taking into account both elastic scattering by disorder and inelastic scattering by the electron-phonon interaction. The Hall conductivity is obtained as a…

Strongly Correlated Electrons · Physics 2012-07-19 Atsuo Shitade , Naoto Nagaosa

Order parameters not only characterize symmetry-broken equilibrium phases but also govern transport phenomena in the nonequilibrium regime. Altermagnets, a class of magnetic systems integrating ferromagnetic and antiferromagnetic features,…

Materials Science · Physics 2025-08-04 Hye-Won Ko , Kyung-Jin Lee