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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

A single ferromagnetic kagome layer is predicted to realize a Chern insulator with quantized Hall conductance, which upon stacking can become a Weyl-semimetal with large anomalous Hall effect (AHE) and magneto-optical activity. Indeed, in…

Measurements of the Hall conductivity in MnSi can provide incisive tests of theories of the anomalous Hall (AH) effect, because both the mean-free-path and magnetoresistance (MR) are unusually large for a ferromagnet. The large MR provides…

Strongly Correlated Electrons · Physics 2009-11-11 Minhyea Lee , Y. Onose , Y. Tokura , N. P. Ong

Ferrimagnetic Mn$_4$N is a promising material for heat flux sensors based on the anomalous Nernst effect (ANE) because of its sizable uniaxial magnetic anisotropy ($K_{\rm u}$) and low saturation magnetization ($M_{\rm s}$). We…

Materials Science · Physics 2021-05-18 Shinji Isogami , Keisuke Masuda , Yoshio Miura , Rajamanickam Nagalingam , Yuya Sakuraba

We report magnetoresistance measurements over an extensive temperature range (0.1 K $\leq T \leq$ 100 K) in a disordered ferromagnetic semiconductor (\gma). The study focuses on a series of metallic \gma~ epilayers that lie in the vicinity…

Materials Science · Physics 2010-07-14 P. Mitra , N. Kumar , N. Samarth

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

To elucidate the intrinsic nature of anomalous Hall effect (AHE) in $d$-electron systems, we study the AC anomalous Hall conductivity (AHC) in a tight-binding model with ($d_{xz},d_{yz}$)-orbitals. We drive a general expression for the AC…

Strongly Correlated Electrons · Physics 2009-11-13 Takuro Tanaka , Hiroshi Kontani

We derive the anomalous Hall contributions arising from dipolar interactions to diffusive spin transport in magnetic insulators. Magnons, the carriers of angular momentum in these systems, are shown to have a non-zero Berry curvature,…

Mesoscale and Nanoscale Physics · Physics 2021-06-23 Pieter M. Gunnink , Rembert A. Duine , Andreas Rückriegel

The anomalous Hall effect due to the spin chirality order and fluctuation is studied theoretically in a Kondo lattice model without the relativistic spin-orbit interaction. Even without the correlations of the localized spins, $\sigma_{xy}$…

Strongly Correlated Electrons · Physics 2009-11-07 Shigeki Onoda , Naoto Nagaosa

The anomalous Hall conductivity in the nodal line semimetals (NLSMs) due to the presence of a symmetry-protected nodal ring adds complexity in the investigation of their transport properties. By employing quantum kinetic theory and…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Vivek Pandey , Pankaj Bhalla

We present a theory of Hall effect in granular systems at large tunneling conductance $g_{T}\gg 1$. Hall transport is essentially determined by the intragrain electron dynamics, which, as we find using the Kubo formula and diagrammatic…

Mesoscale and Nanoscale Physics · Physics 2009-03-25 Maxim Yu. Kharitonov , Konstantin B. Efetov

A two-dimensional quantum Hall system is studied for a wide class of potentials including single-body random potentials and repulsive electron-electron interactions. We assume that there exists a non-zero excitation gap above the ground…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tohru Koma

The relativistic nature of the electron motion underlies the intrinsic part of the anomalous Hall effect, believed to dominate in ferromagnetic (Ga,Mn)As. In this paper, we concentrate on the crystal band structure as an important facet to…

Materials Science · Physics 2010-04-22 Agnieszka Werpachowska , Tomasz Dietl

The interplay between magnetism and strong electron correlation in magnetic materials discerns a variety of intriguing topological features. Here, we report a systematic investigation of the magnetic, thermodynamic, and electrical transport…

Mesoscale and Nanoscale Physics · Physics 2024-09-11 Anyesh Saraswati , Sudipta Chatterjee , Nitesh Kumar

We identify a sizable non-linear anomalous Hall effect in the electrical response of spin-3/2 heavy holes in zincblende semiconductor nanostructures. The response is driven by a quadrupole interaction with the electric field enabled by…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 Sina Gholizadeh , Dimitrie Culcer

We find the extrinsic anomalous Hall conductivity (AHC) to be comparable to the intrinsic one in roughly half of the altermagnetic spin Laue groups in the limit of large exchange splitting. In materials with a finite Dzyaloshinskii-Moriya…

Mesoscale and Nanoscale Physics · Physics 2025-11-06 A. Osin , A. Levchenko , M. Khodas

Using a combined experimental and first-principles theoretical approach, we demonstrate interface engineering of the anomalous Hall effect in Ni-based epitaxial thin-film heterostructures. Ferromagnetic Ni thin films are grown on…

Materials Science · Physics 2026-05-19 Mainak Ghosh , Kusampal Yadav , Kalyan sarkar , Kousik Das , Devajyoti Mukherjee , Sayantika Bhowal

Kagome magnets are believed to have numerous exotic physical properties due to the possible interplay between lattice geometry, electron correlation and band topology. Here, we report the large anomalous Hall effect in the kagome…

Materials Science · Physics 2021-06-22 Dong Chen , Congcong Le , Chenguang Fu , Haicheng Lin , Walter Schnelle , Yan Sun , Claudia Felser

The recent discoveries of surperisingly large anomalous Hall effect in chiral antiderromagnets have triggered extensive research efforts in various fields, ranging from topological condensed-matter physics to antiferromagnetic spintronics,…

Materials Science · Physics 2024-02-27 Linxuan Song , Feng Zhou , Hang Li , Bei Ding , Xue Li , Xuekui Xi , Yuan Yao , Yong-Chang Lau , Wenhong Wang

Recently unusual integer quantum Hall effect was observed in graphene in which the Hall conductivity is quantized as $\sigma_{xy}=(\pm 2, \pm 6, \pm 10, >...) \times \frac{e^2}{h}$, where $e$ is the electron charge and $h$ is the Planck…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yasumasa Hasegawa , Mahito Kohmoto