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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

A new mechanism of spin structure-driven anomalous Hall effect (AHE) in tilted ferromagnetic metals is proposed by taking account of the d-orbital degree of freedom. We find that a conduction electron acquires a Berry phase due to the…

Strongly Correlated Electrons · Physics 2009-09-14 Takeshi Tomizawa , Hiroshi Kontani

The electrical Hall effect is the production of a transverse voltage under an out-of-plane magnetic field. Historically, studies of the Hall effect have led to major breakthroughs including the discoveries of Berry curvature and the…

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

Using Hall photovoltage measurements, we demonstrate that an anomalous Hall-voltage can be induced in few layer WTe2 under circularly polarized light illumination. By applying a bias voltage along different crystal axes, we find that the…

The ordinary Hall effect refers to generation of a transverse voltage upon exertion of an electric field in the presence of an out-of-plane magnetic field. While a linear Hall effect is commonly observed in systems with breaking…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 Young-Gwan Choi , Manh-Ha Doan , Youngkuk Kim , Gyung-Min Choi

The anomalous Hall effect (AHE), which in long-range ordered ferromagnets appears as a voltage transverse to the current and usually is proportional to the magnetization, often is believed to be of negligible size in antiferromagnets due to…

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…

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

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

The anomalous Hall effect (AHE) is studied on the surface of a 3D magnetic topological insulator. By applying a modified semi-classical framework, all three contributions to the AHE, the intrinsic Berry phase curvature effect, the side-jump…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Amir Sabzalipour , Bart Partoens

The anomalous Hall effect (AHE), which provides a bridgeway between the geometry of quantum wavefunctions and transport measurements, has been a key focus of intensive studies. In addition to the well-studied linear AHE, governed by the…

Mesoscale and Nanoscale Physics · Physics 2024-10-21 Xu Zhang , Kai Sun , Zi Yang Meng

For over a century, the Hall effect, a transverse effect under out-of-plane magnetic field or magnetization, has been a cornerstone for magnetotransport studies and applications. Modern theoretical formulation based on the Berry curvature…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

The ordinary Hall effect is driven by the Lorentz force, while its anomalous counterpart occurs in ferromagnets. Here we show that the Berry curvature monopole of non-magnetic 2D spin-3/2 holes leads to a novel Hall effect linear in an…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 James H. Cullen , Pankaj Bhalla , Elizabeth Marcellina , Alexander R. Hamilton , Dimitrie Culcer

Berry curvature, as the imaginary component of quantum geometry, plays a crucial role in condensed matter physics. The spatial distribution of Berry curvature can be characterized by its dipole and multipole moments, which can induce the…

We demonstrate robust and reversible electric-current control of the anomalous Hall effect (AHE) in a two-dimensional WTe2/Fe3GeTe2 (FGT) stack. Applying a current through Td-WTe2 leads to a giant modulation of the AHE of the adjacent FGT…

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…

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

In the anomalous Hall effect (AHE), the magnetization, electric field and the Hall current are presumed to be mutually vertical to each other. In this work, we propose an unconventional AHE where the magnetization, the electric field and…

Materials Science · Physics 2021-06-24 Hengxin Tan , Yizhou Liu , Binghai Yan

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
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