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We study the anomalous Hall effect (AHE) for the double exchange model with the exchange coupling $|J_H|$ being smaller than the bandwidth $|t|$ for the purpose of clarifying the following unresolved and confusing issues: (i) the effect of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Masaru Onoda , Gen Tatara , Naoto Nagaosa

In this paper, we report results on the anomalous Hall effect. First, we summarize analytical calculations based on the Kubo formalism : explicit expressions for both skew-scattering and side-jump are derived and weak-localization…

Condensed Matter · Physics 2009-11-07 A. Crépieux , J. Wunderlich , V. K. Dugaev , P. Bruno

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

We carried out a comprehensive study of electronic transport, thermal and thermodynamic properties in FeCr$_2$Te$_4$ single crystals. It exhibits bad-metallic behavior and anomalous Hall effect (AHE) below a weak-itinerant…

Strongly Correlated Electrons · Physics 2021-01-18 Yu Liu , Hengxin Tan , Zhixiang Hu , Binghai Yan , C. Petrovic

In the study of the anomalous Hall effect, the scaling relations between the anomalous Hall and longitudinal resistivities play the central role. The scaling parameters by definition are fixed as the scaling variable (longitudinal…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Cong Xiao , Hailong Zhou , Qian Niu

Persistent confusion has existed between the intrinsic (Berry curvature) and the side jump mechanisms of anomalous Hall effect (AHE) in ferromagnets. We provide unambiguous identification of the side jump mechanism, in addition to the skew…

Materials Science · Physics 2015-05-20 Yufan Li , Gang Su , Dazhi Hou , Li Ye , Yuan Tian , Jianli Xu , Xiaofeng Jin

Magnetotransport properties of spin-glass-like Ge/1-x-y/Sn/x/Mn/y/Te mixed crystals with chemical composition changing in the range of 0.083 < x < 0.142 and 0.012 < y < 0.119 are presented. The observed negative magnetoresistance we…

Materials Science · Physics 2013-02-15 L. Kilanski , R. Szymczak , W. Dobrowolski , A. Podgórni , A. Avdonin , V. E. Slynko , E. I. Slynko

The anomalous Hall effect is investigated for ferromagnetic Fe3Sn2 single crystal with geometrically frustrated kagome bilayer of Fe. The scaling behavior between anomalous Hall resistivity rho_{xy}^{A} and longitudinal resistivity rho_{xx}…

Strongly Correlated Electrons · Physics 2016-10-18 Qi Wang , Shanshan Sun , Xiao Zhang , Fei Pang , Hechang Lei

The anomalous Hall effect (AHE) occurs in magnetic systems and also unexpectedly in non-magnetic materials adjacent to magnetic insulators via the heterointerface interactions. However, the AHE in heterostructures induced by magnetic…

{\alpha}-MnTe is a prototypical altermagnet exhibiting a strong anomalous Hall effect (AHE), despite having a nearly vanishing magnetization. Lately, sample-to-sample variations of the amplitude of the AHE have raised concerns of a possible…

The anomalous Hall effect (AHE) is a non-linear Hall effect appearing in magnetic conductors, boosted by internal magnetism beyond what is expected from the ordinary Hall effect. With the recent discovery of the quantized version of the…

Materials Science · Physics 2019-05-06 Jisoo Moon , Jinwoong Kim , Nikesh Koirala , Maryam Salehi , David Vanderbilt , Seongshik Oh

The anomalous Hall effect in a multiband tight-binding model is numerically studied taking into account both elastic scattering by disorder and inelastic scattering by the electron-phonon interaction. The Hall conductivity is obtained as a…

Strongly Correlated Electrons · Physics 2012-07-19 Atsuo Shitade , Naoto Nagaosa

We show by first-principles calculations that the skew-scattering anomalous Hall and spin-Hall angles of L$1_0$-ordered FePt drastically depend on different types of disorder. A different sign of the AHE is obtained when slightly deviating…

Materials Science · Physics 2016-08-12 Bernd Zimmermann , Nguyen H. Long , Phivos Mavropoulos , Stefan Blügel , Yuriy Mokrousov

We measure the anomalous Hall effect (AHE) resistivity $\rho_{xy}$ in thin films of the itinerant ferromagnet SrRuO$_{3}$. At low temperatures, the AHE coefficient $R_{s}$ varies with $\rho_{xx}^2$ in agreement with side jumps and Berry…

Strongly Correlated Electrons · Physics 2011-12-01 Noam Haham , Yishai Shperber , Moty Schultz , Netanel Naftalis , James W. Reiner , Lior Klein

We theoretically investigate the anomalous Hall effect in a system of dense-packed ferromagnetic grains in the metallic regime. Using the formalism recently developed for the conventional Hall effect in granular metals, we calculate the…

Mesoscale and Nanoscale Physics · Physics 2012-07-10 Hendrik Meier , Maxim Yu. Kharitonov , Konstantin B. Efetov

We consider the Anomalous Hall Effect (AHE) in thin disordered ferromagnetic films. Using a microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling, we develop a general formulation for…

Disordered Systems and Neural Networks · Physics 2009-11-13 K. A. Muttalib , P. Woelfle

We argue that the scaling of the anomalous Hall effect (AHE) by Mathieu et al. [Phys. Rev. Lett. 93, 016602 (2004)] does not provide support to the interpretation of the AHE in SrRuO3 as an intrinsic effect due to Berry phase monopoles in…

Materials Science · Physics 2007-05-23 Yevgeny Kats , Lior Klein

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

A model to treat the anomalous Hall effect is developed. Based on the Kubo formalism and on the Dirac equation, this model allows the simultaneous calculation of the skew-scattering and side-jump contributions to the anomalous Hall…

Condensed Matter · Physics 2009-11-07 A. Crépieux , P. Bruno

An intriguing observation on the quantum anomalous Hall effect (QAHE) in magnetic topological insulators (MTIs) is the dissipative edge states, where quantized Hall resistance is accompanied by nonzero longitudinal resistance. We…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Yanxia Xing , Fuming Xu , Qing-feng Sun , Jian Wang , Yu-gui Yao