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Materials exhibiting controllable magnetic phase transitions are currently in demand for many spintronics applications. Here we investigate from first principles the electronic structure and intrinsic anomalous Hall, spin Hall and anomalous…

Materials Science · Physics 2018-05-09 Adrian Popescu , Pablo Rodriguez-Lopez , Paul M. Haney , Lilia M. Woods

We report the anomalous and topological Hall effect of the ferromagnetic Weyl semimetal Mn$_5$Ge$_3$. We observe a significant anisotropic anomalous Hall effect (AHE) due to nonzero Berry curvature in the momentum space, such that the…

Materials Science · Physics 2025-04-08 Achintya Low , Tushar Kanti Bhowmik , Susanta Ghosh , Susmita Changdar , Setti Thirupathaiah

The anomalous Hall effect describes the generation of a transverse voltage by a longitudinal current even in the absence of an external magnetic field. While typically observed in ferromagnets, it has also been predicted to arise in…

Anomalous Hall effect (AHE) is the key transport signature unlocking topological properties of magnetic materials. While AHE is usually proportional to the magnetization, the nonlinearity suggests the existence of complex magnetic and…

During the past two decades, it has been established that a non-trivial electron wave-function topology generates an anomalous Hall effect (AHE), which shows itself as a Hall conductivity non-linear in magnetic field. Here, we report on an…

Materials Science · Physics 2023-03-29 Xiaokang Li , Jahyun Koo , Zengwei Zhu , Kamran Behnia , Binghai Yan

The Hall effect occurs only in systems with broken time-reversal symmetry, such as solids under an external magnetic field in the ordinary Hall effect and magnetic materials in the anomalous Hall effect (AHE). Here we show a new Hall effect…

Mesoscale and Nanoscale Physics · Physics 2018-10-09 Kaifei Kang , Tingxin Li , Egon Sohn , Jie Shan , Kin Fai Mak

The characterization and the experimental measurement of the Berry curvature in solids have become an increasingly relevant task in condensed matter physics. We present the theoretical prediction of a gate tunable anomalous Hall effect…

Under broken time reversal symmetry such as in the presence of external magnetic field or internal magnetization, a transverse voltage can be established in materials perpendicular to both longitudinal current and applied magnetic field,…

Materials Science · Physics 2020-02-04 Hua Wang , Xiaofeng Qian

The combination of antiferromagnetic (AFM) spintronics and anomalous valley Hall effect (AVHE) is of great significance for potential applications in valleytronics. Here, we propose a design principle for achieving AVHE in A-type hexagonal…

Materials Science · Physics 2023-12-13 San-Dong Guo , Yu-Ling Tao , Zi-Yang Zhuo , Gangqiang Zhu , Yee Sin Ang

Electric control of N\'eel vector is a central task of antiferromagnetic (AFM) spintronics. The major scheme so far relies on the linear N\'eel torque, which however is restricted to AFMs with broken inversion symmetry. Here, we propose a…

Materials Science · Physics 2025-06-13 Jin Cao , Weikang Wu , Huiying Liu , Shen Lai , Cong Xiao , X. C. Xie , Shengyuan A. Yang

In the presence of time reversal symmetry, a non-linear Hall effect can occur in systems without an inversion symmetry. One of the prominent candidates for detection of such Hall signals are Weyl semimetals. In this article, we investigate…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Saswata Roy , Awadhesh Narayan

The respective unique merit of antiferromagnets and two-dimensional (2D) materials in spintronic applications inspire us to exploit 2D antiferromagnetic spintronics. However, the detection of the N\'eel vector in 2D antiferromagnets remains…

Materials Science · Physics 2023-08-03 Jizhang Wang , Hui Zeng , Wenhui Duan , Huaqing Huang

The Mn3X family of compounds was the first in which a large anomalous Hall effect (AHE) was predicted to arise from a purely antiferromagnetic structure, due to the Berry curvature in momentum space. Nearly simultaneously with this…

Noncollinear magnets with near-zero net magnetization and nontrivial bulk electronic topology hold significant promise for spintronic applications, though their scarcity necessitates purposeful design strategies. In this work, we report a…

Topological materials are expected to show distinct transport signatures due to their unique band-inversion character and band-crossing points. However, the intentional modulation of such topological responses by experimentally feasible…

Materials Science · Physics 2020-08-26 Jianlei Shen , Qiushi Yao , Qingqi Zeng , Hongyi Sun , Xuekui Xi , Guangheng Wu , Wenhong Wang , Qihang Liu , Enke Liu

The antiferromagnetic (AFM) materials are distinguished by zero net magnetic moment, high resistance to external magnetic disturbances, and ultrafast dynamic responses. For advancing AFM materials in spintronic and valleytronic…

Materials Science · Physics 2025-01-23 Ankita Phutela , Saswata Bhattacharya

After the experimental realization, the Berry curvature dipole (BCD) induced nonlinear Hall effect (NLHE) has attracted tremendous interest to the condensed matter community. Here, we investigate another family of Hall effect, namely,…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 Snehasish Nandy , Chuanchang Zeng , Sumanta Tewari

The use of Berry-phase concepts has established a strong link between the anomalous Hall effect (AHE) and the topological character of the Hall currents. However, the occurrence of sign competition in the Berry curvature often hinders the…

Strongly Correlated Electrons · Physics 2025-09-19 Wojciech Brzezicki , Carmine Autieri , Mario Cuoco

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

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…