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Using the Kubo formalism we derived expressions and implemented the method for calculating the anomalous Hall conductivity (AHC) in ferromagnets with short-range Gaussian disorder directly from first-principles electronic structure of the…

Mesoscale and Nanoscale Physics · Physics 2014-01-22 Philippe Czaja , Frank Freimuth , Jürgen Weischenberg , Stefan Blügel , Yuriy Mokrousov

The anomalous Hall effect (AHE) has been extended into the nonlinear regime, where the Hall voltage shows higher-order response to the applied current. Nevertheless, the microscopic mechanism of the nonlinear AHE remains unclear. Here we…

Mesoscale and Nanoscale Physics · Physics 2022-07-19 Xing-Guo Ye , Peng-Fei Zhu , Wen-Zheng Xu , Zhihao Zang , Yu Ye , Zhi-Min Liao

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

Building on previous work, we calculate the temperature- and frequency-dependent {\it anomalous} Hall conductivity for the putative multiband chiral superconductor $\Sr$ using a simple microscopic two-orbital model without impurities. A…

Superconductivity · Physics 2013-08-01 Edward Taylor , Catherine Kallin

The spin Hall effect (SHE) is normally discussed in terms of a spin current, which is ill-defined in strongly spin-orbit-coupled systems because of spin non-conservation. In this work we propose an alternative view of SHE phenomena by…

Mesoscale and Nanoscale Physics · Physics 2019-05-16 Hua Chen , Qian Niu , Allan H. MacDonald

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

We calculate the anomalous Hall conductance of superconductors with spin-orbit interaction and with either uniform or local magnetization. In the first case we consider a uniform ferromagnetic ordering in a spin triplet superconductor,…

Superconductivity · Physics 2015-06-03 P. D. Sacramento , M. A. N. Araujo , V. R. Vieira , V. K. Dugaev , J. Barnas

Quasi-two-dimensional transport is investigated in a system consisting of one ferromagnetic layer placed between two insulating layers. Using the mechanism of skew-scattering to describe the Extraordinary Hall Effect (EHE) and calculating…

Materials Science · Physics 2013-05-29 N. Ryzhanova , A. Vedyayev , A. Pertsova , B. Dieny

We study the effect of disorder on the intrinsic anomalous Hall (AH) conductivity in a spin-polarized two-dimensional electron gas with a Rashba-type spin-orbit interaction. We find that AH conductivity vanishes unless the lifetime is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jun-ichiro Inoue , Takashi Kato , Yasuhito Ishikawa , Hiroyoshi Itoh , Gerrit E. W. Bauer , Laurens W. Molenkamp

We study the linear response spin Hall conductivity of a two-dimensional electron gas (2DEG) in the presence of the Rashba spin orbit interaction in the diffusive transport regime. When defect scattering is modeled by isotropic short-range…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jun-ichiro Inoue , Gerrit E. W. Bauer , Laurens W. Molenkamp

In this work, we put forward, for the first time, the interplay between correlated disorder and hopping dimerization on bias driven circular current in a loop conductor that is clamped between two electrodes. The correlated disorder is…

Mesoscale and Nanoscale Physics · Physics 2024-02-09 Moumita Mondal , Santanu K. Maiti

This study examines the anomalous Hall effect (AHE) in the Heusler series \ce{Mn3Z} (Z=Ga, Ge, Sn), with a particular emphasis on the manipulation of non-collinear antiferromagnetic structures to enhance AHE. By employing density-functional…

Materials Science · Physics 2025-08-18 Chenyue Wen , Danrong Xiong , Chengyi Yang , Dapeng Zhu , Weisheng Zhao

The anomalous Hall effect (AHE) is an efficient tool for detecting the N\'eel vector in collinear compensated magnets with spin-split bands, known as altermagnets (AMs). Here, we establish design principles for obtaining non-zero anomalous…

Materials Science · Physics 2025-05-13 Sajjan Sheoran , Pratibha Dev

An oscillographic study of the Hall voltage with an unpolarized alternating current through a platinum sample revealed choral features of the Hall effect, which clearly demonstrate the presence of the spin Hall effect in metals with a…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Yu. N. Chiang , M. O. Dzyuba

We theoretically investigate an intrinsic nonlinear anomalous Hall effect (INAHE) in space-time ($\mathcal{PT}$) symmetric antiferromagnetic metals. The INAHE is characterized by an asymmetric and non-dissipative part of the second-order…

Strongly Correlated Electrons · Physics 2023-04-10 Akimitsu Kirikoshi , Satoru Hayami

We report the observation of nonlinear anomalous Hall effect (NLAHE) in the multilayered organic conductor $\alpha$-(BEDT-TTF)$_2$I$_3$ in the charge order (CO) insulating phase just under the critical pressure for transition into…

Strongly Correlated Electrons · Physics 2021-12-23 Andhika Kiswandhi , Toshihito Osada

Appropriate symmetry breaking generates an anomalous Hall (AH) effect, even in antiferromagnetic (AFM) materials. Itinerant magnets with $d$ electrons are typical examples that show a significant response. By contrast, the process by which…

Strongly Correlated Electrons · Physics 2024-09-09 Hisashi Kotegawa , Hiroto Tanaka , Yuta Takeuchi , Hideki Tou , Hitoshi Sugawara , Junichi Hayashi , Keiki Takeda

Kagome materials with magnetic frustration in two-dimensional networks are known for their exotic properties, such as the anomalous Hall effect (AHE) with non-collinear spin textures. However, the effects of one-dimensional (1D) spin chains…

Two-dimensional superconductors have been realized in various atomically thin films such as the twisted bilayer graphene, some of which are anticipated to involve unconventional pairing mechanism. Due to their low dimensionality,…

Superconductivity · Physics 2023-08-02 Xiaodong Hu , Jung Hoon Han , Ying Ran

We investigate the spin-Hall effect in a two-dimensional heavy-hole system with Rashba spin-orbit coupling using a nonequilibrium Green's function approach. Both the short- and long-range disorder scatterings are considered in the…

Materials Science · Physics 2009-11-11 S. Y. Liu , X. L. Lei