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Recent experiments reported an antisymmetric planar Hall effect, where the Hall current is odd in the in-plane magnetic field and scales linearly with both electric and magnetic fields applied. Existing theories rely exclusively on a spin…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Hui Wang , Yue-Xin Huang , Huiying Liu , Xiaolong Feng , Jiaojiao Zhu , Weikang Wu , Cong Xiao , Shengyuan A. Yang

The quantum anomalous Hall effect (QAHE) is a quantum phenomenon in which a two-dimensional system exhibits a quantized Hall resistance $h/e^2$ in the absence of magnetic field, where $h$ is the Planck constant and $e$ is the electron…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Zhi-Qiang Zhang , Yu-Hang Li , Ming Lu , Hongfang Liu , Hailong Li , Hua Jiang , X. C. Xie

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…

Though Weyl fermions have recently been observed in several materials with broken inversion symmetry, there are very few examples of such systems with broken time reversal symmetry. Various Co$_{2}$-based half-metallic ferromagnetic Heusler…

Materials Science · Physics 2020-09-02 Shubhankar Roy , Ratnadwip Singha , Arup Ghosh , Arnab Pariari , Prabhat Mandal

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

Historically, the genesis of anomalous Hall effect (AHE) in magnetic materials has always been a fascinating yet controversial topic in the solid state physics community. Recent progress on the understanding of this topic has revealed an…

Strongly Correlated Electrons · Physics 2021-11-29 Durgesh Singh , Jadupati Nag , Sankararao Yadam , V. Ganesan , Aftab Alam , K. G. Suresh

Recent observation of anomalous Hall effect (AHE) induced by magnetic field or spin magnetization lying in the Hall deflection plane has sparked interest in diverse mechanisms for inducing the Hall vector component perpendicular to the…

We report a rare realization of unconventional anomalous Hall effect (UAHE) both below and above the magnetic transition temperature (T_C) in a hexagonal noncentrosymmetric magnet Y_3Co_8Sn_4, using a combined experimental and ab-initio…

We report the occurrence of ferromagnetic-like anomalous Hall effect (AHE) below $30$ mT in bismuth single and policrystals. The signatures of ferromagnetism in transport are not corroborated in magnetization measurements, thus suggesting…

Strongly Correlated Electrons · Physics 2021-03-03 Bruno Camargo , Piort Gierlowski , Andrei Alaferdov , Iraida Demchenko , Maciej Sawicki , Katarzyna Gas , Yakov Kopelevich

Intrinsic anomalous Hall effect (AHE) formulated by geometric properties of Bloch wavefunctions is a ubiquitous transport phenomenon not limited to magnetic systems but also allowed in non-magnetic ones under an external field breaking…

We investigate the possibility of observing the anomalous Hall effect (AHE) in two dimensional paramagnetic systems. We apply the semiclassical equations of motion to carriers in the conduction and valence bands of wurtzite and zincblende…

Condensed Matter · Physics 2009-11-10 Dimitrie Culcer , Allan MacDonald , Qian Niu

The anomalous Hall effect (AHE) is a well-known fundamental property of ferromagnetic metals, commonly associated with the presence of a net magnetization. Recently, an AHE has been discovered in non-collinear antiferromagnetic (AFM)…

Materials Science · Physics 2019-04-25 Gautam Gurung , Ding-Fu Shao , Tula R. Paudel , Evgeny Y. Tsymbal

The electrical Hall effect can be significantly enhanced through the interplay of the conduction electrons with magnetism, which is known as the anomalous Hall effect (AHE). Whereas the mechanism related to band topology has been…

Layer-polarized anomalous Hall effect (LP-AHE), derived from the coupling between Berry curvature and layer degree of freedom, is of importance for both fundamental physics and device applications. Nonetheless, the current research paradigm…

Materials Science · Physics 2022-06-24 Ting Zhang , Xilong Xu , Baibiao Huang , Ying Dai , Liangzhi Kou , Yandong Ma

The planar Hall effect (PHE), previously observed in Weyl and Dirac semimetals due to the chiral anomaly, emerges with a different origin in topological insulators (TIs), where in-plane magnetic fields induce resistivity anisotropy. In…

Mesoscale and Nanoscale Physics · Physics 2025-04-16 Mohammad Shafiei , Milorad V. Milošević

Berry curvature is ubiquitous in condensed matter physics and materials science. Its main consequence is the intrinsic anomalous Hall effect (AHE) in magnetic materials and plays a pivotal role in spintronic applications and quantum…

Materials Science · Physics 2026-05-07 Satoshi Okamoto , Adriana Moreo , Naoto Nagaosa , Stuart S. P. Parkin

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

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…

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

Parallel-field Hall effect is the appearance of a Hall voltage $V_{\rm H}$ that is transverse to the current $I$ when the magnetic field $B$ is applied parallel to $I$ (i.e. $B \parallel I \perp V_{\rm H}$). Such an effect is symmetry…

Materials Science · Physics 2025-08-21 Yongjian Wang , Thomas Boemerich , A. A. Taskin , Achim Rosch , Yoichi Ando