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The anomalous Hall effect in disordered band ferromagnets is considered in the framework of quantum transport theory. A microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling is used. The…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. Woelfle , K. A. Muttalib

To realize the quantum anomalous Hall effect (QAHE) at elevated temperatures, the approach of magnetic proximity effect (MPE) was adopted to break the time-reversal symmetry in the topological insulator (Bi0.3Sb0.7)2Te3 (BST) based…

Recently, MnTe was established as an altermagnetic material that hosts spin-polarized electronic bands as well as anomalous transport effects like the anomalous Hall effect. In addition to these effects arising from altermagnetism, MnTe…

In transition metals and their compounds, the orbital degrees of freedom gives rise to an orbital current, in addition to the ordinary spin and charge currents. We reveal that considerably large spin and anomalous Hall effects (SHE and AHE)…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 H. Kontani , T. Tanaka , D. S. Hirashima , K. Yamada , J. Inoue

Generally, the dissipationless Hall effect in solids requires time-reversal symmetry breaking (TRSB), where TRSB induced by external magnetic field results in ordinary Hall effect, while TRSB caused by spontaneous magnetization gives rise…

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

As opposed to the ordinary Hall effect, the anomalous Hall effect (AHE) remained unexplained for decades, and, amazingly, some misconceptions have survived even now, in particular, the claim that AHE is linearly related to the net…

Materials Science · Physics 2026-04-09 Surasree Sadhukhan , Stepan S. Tsirkin , Yaroslav Zhumagulov , Igor. I. Mazin

We propose a new pathway to the quantized anomalous Hall effect (QAHE) by coupling an altermagnet to a topological crystalline insulator (TCI). The former gaps the topological surface states of the TCI, thereby realizing the QAHE in a…

Mesoscale and Nanoscale Physics · Physics 2025-10-20 Xuance Jiang , Sayed Ali Akbar Ghorashi , Deyu Lu , Jennifer Cano

In the non-collinear antiferromagnet Mn$_3$Sn, we compare simultaneous measurements of the anomalous Hall effect (AHE) and the magneto-optical Kerr effect (MOKE) through two magnetic phase transitions: the high-temperature…

Mesoscale and Nanoscale Physics · Physics 2019-01-24 A. L. Balk , N. H. Sung , S. M. Thomas , P. F. S. Rosa , R. D. McDonald , J. D. Thompson , E. D. Bauer , F. Ronning , S. A. Crooker

We report the anomalous Hall effect (AHE) in antiperovskite Mn$_{3}$NiN with substantial doping of Cu on the Ni site (i.e. Mn$_{3}$Ni$_{1-x}$Cu$_{x}$N), which stabilizes a noncollinear antiferromagnetic (AFM) order compatible with the AHE.…

Strongly Correlated Electrons · Physics 2019-07-10 K. Zhao , T. Hajiri , H. Chen , R. Miki , H. Asano , P. Gegenwart

We present a theory of the anomalous Hall effect in ferromagnetic (Mn,III)V semiconductors. Our theory relates the anomalous Hall conductance of a homogeneous ferromagnet to the Berry phase acquired by a quasiparticle wavefunction upon…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 T. Jungwirth , Qian Niu , A. H. MacDonald

Magnetotransport properties of spin-glass-like Ge/1-x-y/Sn/x/Mn/y/Te mixed crystals with chemical composition changing in the range of 0.083 < x < 0.142 and 0.012 < y < 0.119 are presented. The observed negative magnetoresistance we…

Materials Science · Physics 2013-02-15 L. Kilanski , R. Szymczak , W. Dobrowolski , A. Podgórni , A. Avdonin , V. E. Slynko , E. I. Slynko

The anomalous Hall effect (AHE) is a consequence of spin-orbit coupling in a ferromagnetic metal and is related primarily to density-matrix response to an electric field that is off-diagonal in band index. For this reason disorder…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 N. A. Sinitsyn , A. H. MacDonald , T. Jungwirth , V. K. Dugaev , Jairo Sinova

Antiferromagnets exhibiting giant anomalous Hall effect (AHE) and anomalous Nernst effect (ANE) have recently aroused broad interest, not only for their potential applications in future electronic devices, but also because of the rich…

Mesoscale and Nanoscale Physics · Physics 2023-06-19 Pingfan Gu , Yuxuan Peng , Shiqi Yang , Huan Wang , Shenyong Ye , Hanwen Wang , Yanping Li , Tianlong Xia , Jinbo Yang , Yu Ye

The quantum anomalous Hall effect (QAHE), the last member of Hall family, was predicted to exhibit quantized Hall conductivity e2/h without any external magnetic field. The QAHE shares a similar physical phenomenon with the integer quantum…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Cui-Zu Chang , Mingda Li

The intricate interplay between magnetism and the topology of electronic structures provides a rich avenue for tailoring materials with unique and potent anomalous transport properties. In this paper, we present a strategy for inducing…

Materials Science · Physics 2024-12-04 Subhadip Pradhan , Kartik Samanta , Ashis K. Nandy

Ferroelectricity, anti-ferromagnetism (AFM) and quantum anomalous Hall effect (QAHE) are three fundamental phenomena in the field of condensed matter physics, which could enable the realization of novel devices and thus attracts great…

Computational Physics · Physics 2023-02-13 Yan Liang , Fulu Zheng , Thomas Frauenheim , Pei Zhao

Anomalous Hall effect (AHE) is important for understanding the topological properties of electronic states, and provides insight into the spin-polarized carriers of magnetic materials. AHE has been extensively studied in metallic, but not…

Mesoscale and Nanoscale Physics · Physics 2014-06-24 R. M. Qiao , S. S. Yan , T. S. Xu , M. W. Zhao , Y. X. Chen , G. L. Liu , W. L. Yang , R. K. Zheng , L. M. Mei

The anomalous Hall effect, a hallmark of broken time-reversal symmetry and spin-orbit coupling, is frequently observed in magnetically polarized systems. Its realization in non-magnetic systems, however, remains elusive. Here, we report on…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Athby H. Al-Tawhid , Jesse Kanter , Mehdi Hatefipour , Douglas L. Irving , Divine P. Kumah , Javad Shabani , Kaveh Ahadi

Altermagnetism, a new phase of collinear spin-order sharing similarities with antiferromagnets and ferromagnets, has introduced a new guiding principle for spintronic/thermoelectric applications due to its direction-dependent magnetic…

Strongly Correlated Electrons · Physics 2025-08-19 Samuele Giuli , Carlos Mejuto-Zaera , Massimo Capone