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The spin Hall conductivity (SHC) and anomalous Hall conductivity (AHC) in more than 120 full Heusler compounds are calculated using density functional theory in a high-throughtput way. The electronic structures are mapped to the Wannier…

Materials Science · Physics 2022-05-25 Yimin Ji , Wenxu Zhang , Hongbin Zhang , Wanli Zhang

The anomalous Hall effect is investigated theoretically by means of density functional calculations for the non-collinear antiferromagnetic order of the hexagonal compounds Mn$_3$Ge and Mn$_3$Sn using various planar triangular magnetic…

Materials Science · Physics 2015-06-23 Juergen Kübler , Claudia Felser

The geometrical intrinsic contribution to the anomalous Hall conductivity (AHC) of a metal is commonly expressed as a reciprocal-space integral: as such, it only addresses unbounded and macroscopically homogeneous samples. Here we show that…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Antimo Marrazzo , Raffaele Resta

Identifying the existence of specific functional groups in MXenes is a difficult topic that has perplexed researchers for a long time. We show in this paper that in the case of magnetic MXenes, the magneto-transport properties of the…

Materials Science · Physics 2022-06-16 Ajit Jena , Seung-Cheol Lee , Satadeep Bhattacharjee

We introduce a theoretical framework for computing transport coefficients for complex materials. As a first example, we resolve long-standing inconsistencies between experiment and theory pertaining to the conductivity and Hall mobility for…

Statistical Mechanics · Physics 2015-05-19 M. -L. Zhang , D. A. Drabold

The topological surface states of magnetic topological systems, such as Weyl semimetals and axion insulators, are associated with unconventional transport properties such as nonzero or half-quantized surface anomalous Hall effect. Here we…

Mesoscale and Nanoscale Physics · Physics 2021-06-23 Mingqiang Gu , Jiayu Li , Hongyi Sun , Yufei Zhao , Chang Liu , Jianpeng Liu , Haizhou Lu , Qihang Liu

A two-layer system coupled via tunneling and with different carrier masses in each layer is investigated in the integer quantum Hall regime. Striking deviations of the one-layer Hall conductivity from the usual quantization are found, if…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. L. Chudnovskiy , S. E. Ulloa

In this study, we implemented a finite-difference algorithm for computing anomalous Hall and Nernst conductivity. Based on the expression to evaluate the Berry curvature in an insulating system [J. Phys. Soc. Jpn. 74 1674(2005)], we…

Materials Science · Physics 2023-01-10 Hikaru Sawahata , Naoya Yamaguchi , Susumu Minami , Fumiyuki Ishii

A coherent description of the anomalous Hall effect (AHE) is presented that is applicable to pure as well as disordered alloy systems by treating all sources of the AHE on equal footing. This is achieved by an implementation of the…

Materials Science · Physics 2015-05-19 S. Lowitzer , D. Ködderitzsch , H. Ebert

The half-quantized anomalous Hall conductance (AHC) in topological materials is a condensed matter physics realization of the parity anomaly of (2+1) quantum field theory and an important challenge for both theoretical and experimental…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Shahid Sattar , Roman Stepanov , Alexander Tyner , M. F. Islam , A. H. MacDonald , C. M. Canali

It is well recognized that interpreting transport experiment results can be challenging when the samples being measured are spatially nonuniform. However, quantitative understanding on the differences between measured and actual transport…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Christopher Ard , Evan Camrud , Olivier Pinaud , Hua Chen

A static electric field generates circulating currents at the surfaces of a magnetoelectric insulator. The anomalous Hall part of the surface conductivity tensor describing such bound currents can change by multiples of $e^2/h$ depending on…

Mesoscale and Nanoscale Physics · Physics 2018-09-07 Tomáš Rauch , Thomas Olsen , David Vanderbilt , Ivo Souza

We investigate the evolution of Anomalous Hall Conductivity (AHC) in a coplanar and collinear antiferromagnetic system with varying spin canting angles. A tight-binding model based on three t2g-orbitals in a body-centered tetragonal lattice…

Materials Science · Physics 2026-03-24 Yuansheng Bu , Ziyin Song , Zhong Fang , Quansheng Wu , Hongming Weng

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

We report on Landauer-B\"uttiker studies of anomalous Hall transport in a two-dimensional electron gas with Rashba spin-orbit coupling and a magnetization provided by localized magnetic moments. Our system is described by a discretized…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Maria Silvia Garelli , John Schliemann

Anomalous valley Hall (AVH) effect is a fundamental transport phenomenon in the field of condensed-matter physics. Usually, the research on AVH effect is mainly focused on 2D lattices with ferromagnetic order. Here, by means of model…

Materials Science · Physics 2021-07-27 Wenhui Du , Rui Peng , Zhonglin He , Ying Dai , Baibiao Huang , Yandong Ma

We investigate the intrinsic anomalous thermal Hall effect as an effective probe of the order parameters of non-unitary pairing states of the putative spin-triplet superconductor UTe$_2$. We consider all symmetry-allowed non-unitary states…

The in-plane anomalous Hall effect occurs when magnetization lies within the same plane as the electric field and Hall current, and requires magnetic point groups lacking rotational or mirror symmetries. While it is observed in both Weyl…

Materials Science · Physics 2026-01-12 Hiroto Saito , Takashi Koretsune

Based on first-principles calculations, the anomalous Hall (AHC) and anomalous Nernst conductivities (ANC) of the XMnP (X=Ti, Zr, Hf) compounds were evaluated, and the possibility to tailor such properties by changing the magnetization…

Materials Science · Physics 2022-11-23 Ilias Samathrakis , Nuno Fortunato , Harish K. Singh , Chen Shen , Hongbin Zhang

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
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