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Electrons in 2-dimensional crystals with a honeycomb lattice structure possess a new valley degree of freedom (DOF) in addition to charge and spin. Each valley is predicted to exhibit a Hall effect in the absence of a magnetic field whose…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Kin Fai Mak , Kathryn L. McGill , Jiwoong Park , Paul L. McEuen

The linear intrinsic anomalous Hall effect (IAHE) and second-order IAHE have been intensively investigated in time-reversal broken systems. However, as one of the important members of the nonlinear Hall family, the investigation of…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 Longjun Xiang , Chao Zhang , Luyang Wang , Jian Wang

Exploring combination of antiferromagnetic (AFM) spintronics and anomalous valley Hall effect (AVHE) is one of the most important questions for valleytronic applications. The key to address this issue is to achieve spin splitting around the…

Materials Science · Physics 2024-05-30 San-Dong Guo , Liguo Zhang , Xiao-Shu Guo , Gangqiang Zhu

The nonlinear Hall effect has recently attracted significant interest due to its potential as a promising spectral tool and device applications. A theory of the nonlinear Hall effect on a disordered lattice is a crucial step towards…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Rui Chen , Z. Z. Du , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

The planar Hall effect (PHE) is the appearance of an in-plane transverse voltage in the presence of coplanar electric and magnetic fields. Its hallmark is a characteristic $\pi$-periodic, i.e. even under a magnetic field reversal, angular…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Raffaele Battilomo , Niccoló Scopigno , Carmine Ortix

We evidenced unconventionnal Anomalous Hall Effects (AHE) in 3d/5d (Co0.2nm/Ni0.6nm)N multilayers grown on a thin Pt layer or thin Au:W alloy. The inversion observed on AHE originates from the opposite sign of the spin-orbit coupling of Pt…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 T. Huong Dang , Q. Barbedienne , Q. D. To , E. Rongione , N. Reyren , F. Godel , S. Collin , J. M. George , H. Jaffrès

We present a review of experimental and theoretical studies of the anomalous Hall effect (AHE), focusing on recent developments that have provided a more complete framework for understanding this subtle phenomenon and have, in many…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Naoto Nagaosa , Jairo Sinova , Shigeki Onoda , A. H. MacDonald , N. P. Ong

Anomalous Hall effect (AHE), one of the most important electronic transport phenomena, generally appears in ferromagnetic materials but is rare in materials without magnetic elements. Here, we present a study of La$_3$MgBi$_5$, whose band…

We decompose the intrinsic second-order nonlinear Hall effect (NLHE) of a generic multiband system into its quantum-geometric contributions within a fully quantum-mechanical, projector-based formalism. By expanding the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Yannis Ulrich , Johannes Mitscherling , Laura Classen , Andreas P. Schnyder

Despite being known for a long time the anomalous Hall effect still attracts attention because of its complex origins, its connection to topology and because it serves as a useful probe of the magnetic order. Here we study the anomalous…

Materials Science · Physics 2022-05-31 Jakub Železný , Yuta Yahagi , Carlés-Gomez Ollivella , Yang Zhang , Yan Sun

Charge-spin interconversion in magnetic materials is investigated by using first-principles calculations. In addition to the conventional spin Hall effect (SHE) that requires mutual orthogonality of the charge current, spin-flow direction,…

Materials Science · Physics 2022-08-11 Ping Li , Jing-Zhao Zhang , Zhi-Xin Guo , Tai Min , X. R. Wang

An anomalous Hall effect (AHE) in antiferromagnetic (AF) systems with no net magnetization is of considerable interest for both fundamental physics and spintronic applications. Of particular interest is the two-dimensional van der Waals…

Researches on anomalous Hall effect (AHE) have been lasting for a century to make clear the underlying physical mechanism. Generally, the AHE appears in magnetic materials, in which extrinsic process related to scattering effects and…

A coherent description of the anomalous Hall effect (AHE) is presented that is applicable to pure as well as disordered alloy systems by treating all sources of the AHE on equal footing. This is achieved by an implementation of the…

Materials Science · Physics 2015-05-19 S. Lowitzer , D. Ködderitzsch , H. Ebert

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 anomalous Hall effect (AHE), conventionally associated with time-reversal symmetry breaking in ferromagnetic materials, has recently been observed in nonmagnetic topological materials, raising questions about its origin. We unravel the…

Mesoscale and Nanoscale Physics · Physics 2025-08-22 Huimin Xie , Bo Fu , Huan-Wen Wang , Wenyu Shan , Shun-Qing Shen

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

The quantum anomalous Hall effect (QAHE) is a topological state of matter with a quantized Hall resistance. It has been observed in some two-dimensional insulating materials such as magnetic topological insulator films and twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2024-02-06 Kai-Zhi Bai , Bo Fu , Zhenyu Zhang , Shun-Qing Shen

We report on the observation of the linear anomalous Hall effect (AHE) in the nonmagnetic Weyl semimetal TaIrTe4. This is achieved by applying a direct current Idc and an alternating current Iac (Iac<<Idc) in TaIrTe4, where the former…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 An-Qi Wang , Dong Li , Tong-Yang Zhao , Xing-Yu Liu , Jiantian Zhang , Xin Liao , Qing Yin , Zhen-Cun Pan , Peng Yu , Zhi-Min Liao

Ferrovalley materials can achieve manipulation of the valley degree of freedom with intrinsic spontaneous valley polarization introduced by their intrinsic ferromagnetism. A good ferrovalley material should possess perpendicular magnetic…

Materials Science · Physics 2022-01-05 San-Dong Guo , Jing-Xin Zhu , Wen-Qi Mu , Bang-Gui Liu