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Anomalous Hall effect arises in systems with both spin-orbit coupling and magnetization. Generally, there are three mechanisms contributing to anomalous Hall conductivity: intrinsic, side jump, and skew scattering. The standard diagrammatic…

无序系统与神经网络 · 物理学 2020-12-24 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

In-plane anomalous Hall effect (IPAHE) is an unconventional anomalous Hall effect (AHE) with the Hall current flows in the plane spanned by the magnetization or magnetic field and the electric field. Here,we predict a stable two-dimensional…

材料科学 · 物理学 2024-04-22 Ding Li , Maoyuan Wang , Dengfeng Li , Jianhui Zhou

The anomalous Hall conductivity has an important extrinsic contribution known as side jump contribution, which is independent of both scattering strength and disorder density. Nevertheless, we discover that side jump has strong dependence…

介观与纳米尺度物理 · 物理学 2015-05-20 Shengyuan A. Yang , Hui Pan , Yugui Yao , Qian Niu

The third-order anomalous Hall effect (TOAHE) driven by Berry connection polarizability in Dirac materials offers a promising avenue for exploring quantum geometric phenomena. We investigate the role of impurity scattering on TOAHE using…

介观与纳米尺度物理 · 物理学 2025-06-06 Chanchal K. Barman , Arghya Chattopadhyay , Surajit Sarkar , Jian-Xin Zhu , Snehasish Nandy

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 effects of spin-flip scattering on the Hall transport and spectral properties of gapped Dirac fermions. We find that in the weak scattering regime, the Berry curvature distribution is dramatically compressed in the…

材料科学 · 物理学 2015-05-20 Shengyuan A. Yang , Zhenhua Qiao , Yugui Yao , Junren Shi , Qian Niu

Anomalous Hall effect (AHE), a protocol of various low-power dissipation quantum phenomena and a fundamental precursor of intriguing topological phases of matter, is usually observed in ferromagnetic materials with orthogonal configuration…

介观与纳米尺度物理 · 物理学 2023-04-27 Jin Cao , Wei Jiang , Xiao-Ping Li , Daifeng Tu , Jiadong Zhou , Jianhui Zhou , Yugui Yao

We present a rigorous microscopic theory of the extrinsic spin Hall effect in disordered graphene based on a nonperturbative quantum diagrammatic treatment incorporating skew scattering and anomalous---impurity…

介观与纳米尺度物理 · 物理学 2016-10-19 Mirco Milletari , Aires Ferreira

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…

介观与纳米尺度物理 · 物理学 2023-02-22 Longjun Xiang , Chao Zhang , Luyang Wang , Jian Wang

Despite the recent success of identifying experimental signatures of the orbital Hall effect (OHE), the research on the microscopic mechanisms behind this unique phenomenon is still in its infancy. Here, using a gapped 2D Dirac material as…

介观与纳米尺度物理 · 物理学 2025-04-09 Alessandro Veneri , Tatiana G. Rappoport , Aires Ferreira

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…

The study of the non-linear anomalous Hall effect (NLAHE) in $\mathcal{P}\mathcal{T}$-symmetric systems has focussed on intrinsic mechanisms. Here we show that disorder contributes substantially to NLAHE and often overwhelms intrinsic…

介观与纳米尺度物理 · 物理学 2023-11-23 Rhonald Burgos Atencia , Di Xiao , Dimitrie Culcer

The anomalous Hall effect in disordered band ferromagnets is considered in the framework of quantum transport theory. A microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling is used. The…

无序系统与神经网络 · 物理学 2009-11-11 P. Woelfle , K. A. Muttalib

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…

介观与纳米尺度物理 · 物理学 2019-07-24 Amir Sabzalipour , Bart Partoens

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…

介观与纳米尺度物理 · 物理学 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

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…

介观与纳米尺度物理 · 物理学 2024-03-12 Hui Wang , Yue-Xin Huang , Huiying Liu , Xiaolong Feng , Jiaojiao Zhu , Weikang Wu , Cong Xiao , Shengyuan A. Yang

We present a unified theory of charge carrier transport in 2D Dirac systems with broken mirror inversion and time-reversal symmetries (e.g., as realized in ferromagnetic graphene). We find that the entanglement between spin and pseudospin…

介观与纳米尺度物理 · 物理学 2018-09-21 Manuel Offidani , Aires Ferreira

We describe the charge transport in ferromagnets with spin orbit coupled Bloch bands by combining the wave-packet evolution equations with the classical Boltzmann equation. This approach can be justified in the limit of smooth disorder…

介观与纳米尺度物理 · 物理学 2009-11-11 N. A. Sinitsyn , Qian Niu , Jairo Sinova , K. Nomura

The theory of the orbital Hall effect (OHE), a transverse flow of orbital angular momentum in response to an electric field, has concentrated overwhelmingly on intrinsic mechanisms. Here, using a quantum kinetic formulation, we determine…

介观与纳米尺度物理 · 物理学 2024-05-02 Hong Liu , Dimitrie Culcer

Magnetic textures like skyrmions and domain walls coupled to itinerant electrons give rise to rich transport phenomena such as anomalous Hall effect and nonreciprocal current. An interesting case is when the transport coefficient is related…

介观与纳米尺度物理 · 物理学 2024-06-25 Jun Mochida , Hiroaki Ishizuka
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