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The quantum anomalous Hall (QAH) effect holds fundamental importance in topological physics and technological promise for electronics. It is generally believed that the QAH effect can only be realized in insulators. In this Letter, we…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

The intrinsic anomalous Hall effect (AHE) has been reported in numerous ferromagnetic (FM) Weyl semimetals. However, AHE in the antiferromagnetic (AFM) or paramagnetic (PM) state of Weyl semimetals has been rarely observed experimentally,…

We have developed a theory of the anomalous Hall effect in two-dimensional electron gas in the case where the time of electron-electron collisions is much smaller than the transport relaxation time. The transition between the diffusion…

Mesoscale and Nanoscale Physics · Physics 2023-10-30 D. S. Zohrabyan , M. M. Glazov

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 develop a theoretical approach to study the scaling of anomalous Hall effect (AHE) in the insulating regime, which is observed to be $\sigma_{xy}^{AH}\propto\sigma_{xx}^{1.40\sim1.75}$ in experiments over a large range of materials. This…

Mesoscale and Nanoscale Physics · Physics 2013-03-14 Xiong-Jun Liu , Xin Liu , Jairo Sinova

We theoretically study the anomalous Hall effect (AHE) in perovskites with antiferromagnetic (AFM) orderings. By studying the multiorbital Hubbard model for $d$ electrons in perovskite transition metal oxides under the GdFeO$_3$-type…

Strongly Correlated Electrons · Physics 2022-12-07 Makoto Naka , Yukitoshi Motome , Hitoshi Seo

The quantum anomalous Hall effect (QAHE) is a quantum phenomenon in which a two-dimensional system exhibits a quantized Hall resistance $h/e^2$ in the absence of magnetic field, where $h$ is the Planck constant and $e$ is the electron…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Zhi-Qiang Zhang , Yu-Hang Li , Ming Lu , Hongfang Liu , Hailong Li , Hua Jiang , X. C. Xie

We study temperature effect on anomalous viscosity of Graphene Hall fluid within quantum many-vortex hydrodynamics. The commonly observed filling fractions, $\nu$ in the range $0 < \nu < 2$ is considered. An expression for anomalous…

Mesoscale and Nanoscale Physics · Physics 2015-10-05 Rabiu Musah , Samuel Y. Mensah , Ibrahim Y. Seini , Suleimana S. Abukari

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

Anomalous Hall effect (AHE) of a ferromagnetic semiconductor anatase \cotio thin film is studied from 10K to 300K. Magnetic field dependence of anomalous Hall resistance is coincident with that of magnetization, while the anomalous Hall…

Materials Science · Physics 2009-11-13 Kazunori Ueno , Tomoteru Fukumura , Hidemi Toyosaki , Masaki Nakano , Masashi Kawasaki

Anomalous Hall effect (AHE) is the key transport signature unlocking topological properties of magnetic materials. While AHE is usually proportional to the magnetization, the nonlinearity suggests the existence of complex magnetic and…

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

The quantum anomalous Hall effect (QAHE) realizes dissipationless longitudinal resistivity and quantized Hall resistance without the need of an external magnetic field. However, when reducing the device dimensions or increasing the current…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 Gertjan Lippertz , Andrea Bliesener , Anjana Uday , Lino M. C. Pereira , A. A. Taskin , Yoichi Ando

The anomalous Hall effect (AHE) is highly sensitive to disorder in the metallic phase. Here we show that statistical correlations between the charge and spin disorder sectors strongly affect both the longitudinal conductivity and the…

Disordered Systems and Neural Networks · Physics 2019-09-25 Aydin Cem Keser , Roberto Raimondi , Dimitrie Culcer

We identify an intrinsic mechanism of the anomalous Hall effect for non-symmorphic chiral superconductors. This mechanism relies on both a nontrivial multi-band chiral superconducting order parameter, which is a mixture of pairings of even…

Superconductivity · Physics 2017-11-22 Zhiqiang Wang , John Berlinsky , Gertrud Zwicknagl , Catherine Kallin

The anomalous Hall effect (AHE) in strongly disordered magnetic systems has been buried in persistent confusion despite its long history. We report the AHE in perpendicularly magnetized L10-MnAl epitaxial films with variable orbital…

Strongly Correlated Electrons · Physics 2016-05-10 L. J. Zhu , S. H. Nie , J. H. Zhao

We demonstrate that the Higgs mechanism in three-dimensional topological superconductors exhibits unique features with experimentally observable consequences. The Higgs model we discuss has two superconducting components and an axion-like…

Superconductivity · Physics 2015-12-15 Flavio S. Nogueira , Asle Sudbo , Ilya Eremin

The anomalous Hall effect has been front and center in solid state research and material science for over a century now, and the complex transport phenomena in nontrivial magnetic textures have gained an increasing amount of attention, both…

Mesoscale and Nanoscale Physics · Physics 2024-01-09 Jonathan Kipp , Fabian R. Lux , Thorben Pürling , Abigail Morrison , Stefan Blügel , Daniele Pinna , Yuriy Mokrousov

Physical properties of anisotropic compressible quantum Hall states and their implications to integer quantum Hall effect are studied based on a mean field theory on the von Neumann lattice. It is found that the Hall gas has unusual…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. Ishikawa , N. Maeda

Recently, multilayer graphene systems have attracted significant attention due to the discovery of a variety of intriguing phases, particularly quantum anomalous Hall (QAH) states. In rhombohedral pentalayer graphene (RPG), both QAH states…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Xilin Feng , Zi-Ting Sun , K. T. Law
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