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We calculate anomaly induced conductivities from a holographic gauge theory model using Kubo formulas, making a clear conceptual distinction between thermodynamic state variables such as chemical potentials and external background fields.…

High Energy Physics - Theory · Physics 2011-03-03 A. Gynther , K. Landsteiner , F. Pena-Benitez , A. Rebhan

Skew scattering on rare impurity configurations is shown to dominate the anomalous Hall effect in a 2D Rashba ferromagnet. The mechanism originates in scattering on rare impurity pairs separated by distances of the order of the Fermi wave…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 I. A. Ado , I. A. Dmitriev , P. M. Ostrovsky , M. Titov

We study the mechanism of the exceptionally large anomalous Hall effect (AHE) in the noncentrosymmetric antiferromagnet $\mathrm{Co}\mathrm{Nb}_3\mathrm{S}_6$ by angle-resolved photoemission spectroscopy (ARPES) and magnetotransport…

The external field control of antiferromagnetism is a significant subject both for basic science and technological applications. As a useful macroscopic response to detect magnetic states, the anomalous Hall effect (AHE) is known for…

Strongly Correlated Electrons · Physics 2016-07-05 Naoki Kiyohara , Takahiro Tomita , Satoru Nakatsuji

A large anomalous Hall effect (AHE) has recently been observed in the intercalated transition metal dichalcogenide (TMDC) Co$_{1/3}$NbS$_{2}$ below a known magnetic phase transition at $T_N$ = 29 K. The spins in this material are widely…

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

We propose a new scaling law for anomalous Hall effect in ferromagnetic thin films by distinguishing three scattering sources, namely, bulk impurity, phonon, and more importantly a rough surface. This new scaling law fits the recent…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Vahram L. Grigoryan , Jiang Xiao , Xuhui Wang , Ke Xia

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

In magnetic topological phases of matter, the quantum anomalous Hall (QAH) effect is an emergent phenomenon driven by ferromagnetic doping, magnetic proximity effects and strain engineering. The realization of QAH states with multiple…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 R. Adhikari , V. V. Volobuev , B. Faina , G. Springholz , A. Bonanni

A finite equilibrium current density arises in the anomalous Hall effect (AHE) as a result of time-reversal symmetry breaking, affecting both the differential current density and total current. This study illustrates the equilibrium current…

Mesoscale and Nanoscale Physics · Physics 2024-12-12 Ning Dai , Bin Zhou

The anomalous Hall conductivity (AHC) in materials has long been a topic of debate. Studies reveal that AHC originates from the Berry curvature ($\boldsymbol\Omega$) of Bloch states. Accurate computation of AHC is crucial for predicting…

Strongly Correlated Electrons · Physics 2025-05-07 Vivek Pandey , Sudhir K. Pandey

We carry out first-principles calculations of the dependence of the intrinsic anomalous Hall conductivity of hcp Co on the magnetization direction. The Hall conductivity decreases smoothly from 481 S/cm to 116 S/cm as the magnetization is…

Materials Science · Physics 2009-12-17 Eric Roman , Yuriy Mokrousov , Ivo Souza

The exploration of nontrivial transport phenomena associated with the interplay between magnetic order and spin-orbit coupling (SOC), particularly in van der Waals (vdW) systems has gained a resurgence of interest due to their easy…

Altermagnets break time-reversal symmetry, preserve the crystal translation invariance, and have a spin density with $d$-wave, $g$-wave, etc. momentum dependencies which do not contribute to the magnetization. When an $s$-wave spin-density…

Materials Science · Physics 2025-05-07 Keigo Takahashi , Charles R. W. Steward , Masao Ogata , Rafael M. Fernandes , Jörg Schmalian

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 demonstrate the anomalous Hall effect (AHE) in single-layer graphene exchange-coupled to an atomically flat yttrium iron garnet (YIG) ferromagnetic thin film. The anomalous Hall conductance has magnitude of ~0.09(2e2/h) at low…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Zhiyong Wang , Chi Tang , Raymond Sachs , Yafis Barlas , Jing Shi

We give a theory of the inverse spin Hall effect (ISHE) in ferromagnetic metals based on skew scattering via collective spin fluctuations. This extends Kondo's theory of the anomalous Hall effect (AHE) to include short-range spin-spin…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 B. Gu , T. Ziman , S. Maekawa

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

We present results of experimental studies of structural, magneto-transport and magnetic properties of CoFe-B-Al-O films deposited onto a glass ceramic substrate by the ion-beam sputtering of the target composed of Co40Fe40B20 and Al2O3…

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
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