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We present the analytical description of the anomalous Hall effect (AHE) in a 2DEG ferromagnet within the Keldysh formalism. These results unify all three linear response approaches to anomalous Hall transport and close a long standing…

介观与纳米尺度物理 · 物理学 2008-07-29 Alexey A. Kovalev , Karel Výborný , Jairo Sinova

The mechanism of the anomalous Hall transport phenomena, if it is of the intrinsic or extrinsic origin, has been controversial. We present a unified theory of them for ferromagnetic metals with dilute impurities at the zero temperature, in…

介观与纳米尺度物理 · 物理学 2009-11-13 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

The two-dimensional electron system in (110)Al$_2$O$_{3-\delta}$/SrTiO$_3$ heterostructures displays anisotropic electronic transport. Largest and lowest conductivity and electron mobility $\mu$ are observed along the $[001]$ and…

强关联电子 · 物理学 2018-09-19 K. Wolff , R. Eder , R. Schäfer , R. Schneider , D. Fuchs

Large intrinsic anomalous Hall effect (AHE) due to the Berry curvature in magnetic topological semimetals is attracting enormous interest due to its fundamental importance and technological relevance. Mechanisms resulting in large intrinsic…

In a magnetic metal, the Hall resistance is generally taken to be the sum of the ordinary Hall resistance and the anomalous Hall resistance. Here it is shown that this empirical relation is no longer valid when either the ordinary Hall…

介观与纳米尺度物理 · 物理学 2023-02-21 Jiaji Zhao , Bingyan Jiang , Jinying Yang , Lujunyu Wang , Hengjie Shi , Guang Tian , Zhilin Li , Enke Liu , Xiaosong Wu

We present a systematic microscopic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature based on Keldysh technique of nonequilibrium systems. In the analysis, an ac electrical driving field…

介观与纳米尺度物理 · 物理学 2021-12-13 Elio J. König , Alex Levchenko

The discovery of the anomalous Hall effect (AHE) in bulk metallic antiferromagnets (AFMs) motivates the search of the same phenomenon in two-dimensional (2D) systems, where a quantized anomalous Hall conductance can in principle be…

Low density two-dimensional electron gases (2DEGs) with spin-orbit coupling are highly sensitive to an in-plane magnetic field, which impacts their Fermi surfaces and transport properties. Such 2DEGs, formed at transition metal oxide…

介观与纳米尺度物理 · 物理学 2019-06-05 Nazim Boudjada , Ilia Khait , Arun Paramekanti

Unexpected transport behavior can arise due to anisotropic single-particle scattering in multiband systems. Specifically, we show within a semiclassical Boltzmann approach beyond the relaxation-time approximation that anisotropic scattering…

介观与纳米尺度物理 · 物理学 2013-08-06 Maxim Breitkreiz , P. M. R. Brydon , Carsten Timm

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

We propose a model ferromagnet based on the Dirac Hamiltonian in three spatial dimensions, and study its transport properties which include anisotropic magnetoresistance (AMR) and anomalous Hall (AH) effect. This relativistic extension…

材料科学 · 物理学 2015-06-19 Junji Fujimoto , Hiroshi Kohno

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…

强关联电子 · 物理学 2021-11-29 Durgesh Singh , Jadupati Nag , Sankararao Yadam , V. Ganesan , Aftab Alam , K. G. Suresh

The anomalous Hall effect (AHE) is a consequence of spin-orbit coupling in a ferromagnetic metal and is related primarily to density-matrix response to an electric field that is off-diagonal in band index. For this reason disorder…

介观与纳米尺度物理 · 物理学 2009-11-11 N. A. Sinitsyn , A. H. MacDonald , T. Jungwirth , V. K. Dugaev , Jairo Sinova

The large magnetic anisotropy in the layered ferromagnet Fe_{1/4}TaS_2 leads to very sharp reversals of the magnetization $\bf M$ at the coercive field. We have exploited this feature to measure the anomalous Hall effect (AHE), focussing on…

强关联电子 · 物理学 2009-11-13 J. G. Checkelsky , Minhyea Lee , E. Morosan , R. J. Cava , N. P. Ong

Anisotropic magnetoresistance (AMR) is a relativistic magnetotransport phenomenon arising from combined effects of spin-orbit coupling and broken symmetry of a ferromagnetically ordered state of the system. In this work we focus on one…

We revisit model calculations of the anomalous Hall effect (AHE) and show that, in isotropic Rashba-coupled two-dimensional electron gas (2DEG) with pointlike potential impurities, the full solution of the semiclassical Boltzmann equation…

强关联电子 · 物理学 2017-05-24 Cong Xiao , Dingping Li , Zhongshui Ma

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…

介观与纳米尺度物理 · 物理学 2015-05-13 Naoto Nagaosa , Jairo Sinova , Shigeki Onoda , A. H. MacDonald , N. P. Ong

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…

凝聚态物理 · 物理学 2009-11-10 Dimitrie Culcer , Allan MacDonald , Qian Niu

We extend the semiclassical Boltzmann formalism for the anomalous Hall effect (AHE) in nondegenerate multiband electron systems to the spin Hall effect (SHE) and unconventional Edelstein effect (UEE, cannot be accounted for by the…

介观与纳米尺度物理 · 物理学 2018-04-19 Cong Xiao , Bangguo Xiong , Fei Xue

The Hall effect, ever intriguing since its discovery, has spurred the exploration of its phenomena, intensified by advances in topology and novel materials. Differentiating the ordinary Hall effect from extraordinary properties like the…

材料科学 · 物理学 2025-09-23 ShengNan Zhang , Zhihao Liu , Hanqi Pi , Zhong Fang , Hongming Weng , QuanSheng Wu
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