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The nonlinear Hall effect is a new type of Hall effect that has recently attracted significant attention. For the physical origin of the nonlinear Hall effect, while orbital magnetization has long been hypothesized to underpin the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Zesheng Zhang , Xin-Zhi Li , Wen-Yu He

We theoretically investigate a nonlinear spin Hall effect in $\mathcal{PT}$-symmetric antiferromagnetic metals, which serve as an efficient spin current generator. We elucidate that an emergent spin-dependent Berry curvature dipole is a…

Mesoscale and Nanoscale Physics · Physics 2022-09-23 Satoru Hayami , Megumi Yatsushiro , Hiroaki Kusunose

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

In this paper we propose two theoretical models of a metallic N\'{e}el ordered antiferromagnet with charge-density wave order which shows the anomalous Hall effect. In our models a combination of the N\'{e}el order and the charge-density…

Mesoscale and Nanoscale Physics · Physics 2024-11-26 Vladimir A. Zyuzin

We study the anomalous Hall effect on the antiferromagnetic coloring-triangular lattice with a coplanar magnetic configuration in presence of a spin-orbit interaction. The effect of the spin-orbit coupling is included at effective level as…

Strongly Correlated Electrons · Physics 2022-07-20 A. C. Duran , S. A. Osorio , M. B. Sturla

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…

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…

Recent studies on altermagnets have focused considerable attention on nonrelativistic effects that persist in the absence of spin-orbit coupling (SOC). As a result, the relative importance of various phenomena in altermagnets has commonly…

Materials Science · Physics 2026-05-22 Xukun Feng , Jin Cao , Lay Kee Ang , Shengyuan A. Yang , Cong Xiao , X. C. Xie

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 symmetry considerations that imply a non-zero anomalous Hall effect (AHE) in certain non-collinear antiferromagnets also imply both non-zero orbital magnetization and a net spin magnetization. We have explicitly evaluated the orbital…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Hua Chen , Tzu-Cheng Wang , Di Xiao , Guang-Yu Guo , Qian Niu , Allan H. MacDonald

The topological Hall effect is a hallmark of topologically non-trivial magnetic textures such as magnetic skyrmions. It quantifies the transverse electric current that is generated once an electric field is applied and occurs as a…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Börge Göbel , Lennart Schimpf , Ingrid Mertig

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

Detecting the orientation of the N\'eel vector is a major research topic in antiferromagnetic spintronics. Here we recognize the intrinsic nonlinear Hall effect, which is independent of the relaxation time, as a prominent contribution to…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Chong Wang , Yang Gao , Di Xiao

Orthorhombic CuMnAs has been proposed as an antiferromagnetic semimetal hosting nodal line and Dirac points around the Fermi level. We investigate relations between the topological bands and transport phenomena, i.e. spin Hall effect and…

Strongly Correlated Electrons · Physics 2021-07-14 Vu Thi Ngoc Huyen , Yuki Yanagi , Michi-To Suzuki

The Berry phase due to the spin wavefunction gives rise to the orbital ferromagnetism and anomalous Hall effect in the non-coplanar antiferromagnetic ordered state on face centered cubic (fcc) lattice once the crystal is distorted…

Strongly Correlated Electrons · Physics 2009-11-07 Ryuichi Shindou , Naoto Nagaosa

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

Recent experiments demonstrate that antiferromagnets exhibit the spin Hall effect. We study a tight-binding model of an antiferromagnet on a square lattice with Rashba spin-orbit coupling and disorder. By exact diagonalization of a finite…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Sverre A. Gulbrandsen , Camilla Espedal , Arne Brataas

Despite recent advances in orbitronics, generating out-of-plane orbital torques essential for field-free deterministic switching of perpendicular magnetization remains a key challenge. Here, we propose a strategy to produce such…

Materials Science · Physics 2025-11-14 Hui Wang , Xukun Feng , Jin Cao , Huiying Liu , Weibo Gao , Cong Xiao , Shengyuan A. Yang , Lay Kee Ang

Our world is composed of various materials with different structures, where spin structures have been playing a pivotal role in spintronic devices of the contemporary information technology. Apart from conventional collinear spin materials…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Peixin Qin , Han Yan , Xiaoning Wang , Zexin Feng , Huixin Guo , Xiaorong Zhou , Haojiang Wu , Xin Zhang , Zhaoguogang Leng , Hongyu Chen , Zhiqi Liu

In ferromagnets, electric current generally induces transverse Hall voltage in proportion to magnetization (anomalous Hall effect), and it is frequently used for electrical readout of the up and down spin states. While these properties are…

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