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The anomalous Hall effect is investigated experimentally and theoretically for ferromagnetic thin films of Mn$_5$Ge$_3$. We have separated the intrinsic and extrinsic contributions to the experimental anomalous Hall effect, and calculated…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Changgan Zeng , Yugui Yao , Qian Niu , Hanno H. Weitering

Magnetic Weyl semimetals with broken time-reversal symmetry are expected to generate strong intrinsic anomalous Hall effects, due to their large Berry curvature. Here, we report a magnetic Weyl semimetal candidate Co3Sn2S2 with a…

The anomalous Hall and Nernst effects are considered theoretically within Matsubara-Green's function formalism. The effective Hamiltonian of a magnetized two-dimensional electron gas with cubic Rashba spin-orbit interaction may describe…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Anna Krzyżewska , Anna Dyrdał

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 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

Within the semiclassical Boltzmann transport theory, the formula for Seebeck coefficient $S$ is derived for an isotropic two-dimensional electron gas (2DEG) system that exhibits anomalous Hall effect (AHE) and anomalous Nernst effect (ANE)…

Mesoscale and Nanoscale Physics · Physics 2014-02-05 Yo Pierre Mizuta , Fumiyuki Ishii

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

We report a detailed magnetic and structural analysis of highly reduced Co doped rutile TiO2 films displaying an anomalous Hall effect (AHE). The temperature and field dependence of magnetization, and transmission electron microscopy…

We consider the quantum Hall effect (QHE) in a system of interacting electrons. Our formalism is valid for systems in the presence of an external magnetic field, as well as for systems with a nontrivial band topology. That is, the…

Mesoscale and Nanoscale Physics · Physics 2022-09-01 J. Miller , M. A. Zubkov

Anomalous Hall effect in very clean samples (high conductivity regime) is studied using a two-dimensional network model. We find that the off-diagonal conductivity comprises two parts: one which reflects the bulk properties as obtained by…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Pavel Středa , Karel Výborný

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

The Hall effect, particularly that arising from in-plane magnetic field, has recently emerged as a sensitive probe of quantum geometric properties in solids. Especially in trigonal systems, in-plane anomalous Hall effect (AHE) can be…

We predict two spin-dependent transport phenomena in two-dimensional electron systems, which are induced by spatially fluctuating Rashba spin-orbit interaction. When the electron gas is magnetized, the random Rashba interaction leads to the…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 V. K. Dugaev , M. Inglot , E. Ya. Sherman , J. Berakdar , J. Barnas

The intrinsic anomalous Hall conductivity (AHC) in a ferromagnetic metal is completely determined by its band structure. Since the spin orientation direction is an important band-structure tuning parameter, it is highly desirable to study…

Materials Science · Physics 2024-08-22 Mahima Singh , Jyotirmoy Sau , Banik Rai , Arunanshu Panda , Manoranjan Kumar , Nitesh Kumar

Recent interest in topological nature in condensed matter physics has revealed the essential role of Berry curvature in anomalous Hall effect (AHE). However, since large Hall response originating from Berry curvature has been reported in…

Strongly Correlated Electrons · Physics 2020-10-20 Kazuto Akiba , Kaisei Iwamoto , Takaaki Sato , Shingo Araki , Tatsuo C. Kobayashi

Investigating the scaling behavior of annealed Ga$_{1-x}$Mn$_{x}$As anomalous Hall coefficients, we note a universal crossover regime where the scaling behavior changes from quadratic to linear, attributed to the anomalous Hall Effect…

Materials Science · Physics 2015-06-25 S. H. Chun , Y. S. Kim , H. K. Choi , I. T. Jeong , W. O. Lee , K. S. Suh , Y. S. OH , K. H. Kim , Z. G. Khim , J. C. Woo , Y. D. Park

We propose a magnon-driven anomalous Hall effect in altermagnets, arising from the coupling between coherently excited chiral magnons and chiral electronic motion. Using density-matrix perturbation theory and symmetry analysis, we show that…

Mesoscale and Nanoscale Physics · Physics 2026-03-23 Zheng Liu , Yang Gao , Qian Niu

The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

We theoretically investigate the anomalous Hall effect (AHE) that requires neither a net magnetization nor an external magnetic field in collinear antiferromagnets. We show that such an emergent AHE is essentially caused by a ferroic…

Strongly Correlated Electrons · Physics 2021-06-02 Satoru Hayami , Hiroaki Kusunose

We predict a so-called axial Hall effect, a Berry-curvature-driven anomalous Hall response, in Lieb-lattice altermagnets. By constructing a tight-binding model, we identify the axial direction as a hidden topological degree of freedom.…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Xilong Xu , Haonan Wang , Li Yang
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