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We identify a previously unrecognized class of two-dimensional (2D) collinear magnetic phase that extends beyond the established categories of ferromagnets, antiferromagnets, and altermagnets. These type IV 2D collinear magnets exhibit…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Ling Bai , Run-Wu Zhang , Wanxiang Feng , Yugui Yao

The anomalous Hall effect (AHE) of ferromagnetic thin films of Sr$_{1-x}$Ca$_{x}$RuO$_3$ (0 $\leq x \leq$ 0.4) is studied as a function of $x$ and temperature $T$. As $x$ increases, both the transition temperature $T_c$ and the…

Materials Science · Physics 2009-11-10 R. Mathieu , A. Asamitsu , H. Yamada , K. S. Takahashi , M. Kawasaki , Z. Fang , N. Nagaosa , Y. Tokura

The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Here, we give a theoretical introduction to the quantum anomalous Hall (QAH) effect based on magnetic topological…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Jing Wang , Biao Lian , Shou-Cheng Zhang

Historically, the genesis of anomalous Hall effect (AHE) in magnetic materials has always been a fascinating yet controversial topic in the solid state physics community. Recent progress on the understanding of this topic has revealed an…

Strongly Correlated Electrons · Physics 2021-11-29 Durgesh Singh , Jadupati Nag , Sankararao Yadam , V. Ganesan , Aftab Alam , K. G. Suresh

For over a century, the Hall effect, a transverse effect under out-of-plane magnetic field or magnetization, has been a cornerstone for magnetotransport studies and applications. Modern theoretical formulation based on the Berry curvature…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

The anomalous Hall effect (AHE) has been studied systematically in the low-conductivity ferromagnetic oxide Fe$_{3-x}$Zn$_x$O$_4$ with $x = 0$, 0.1, and 0.5. We used (001), (110), and (111) oriented epitaxial Fe$_{3-x}$Zn$_x$O$_4$ films…

The anomalous Hall effect has been indispensable in our understanding of numerous magnetic phenomena. This concerns both ferromagnetic materials, as well as diverse classes of antiferromagnets, where in addition to the anomalous and crystal…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 J. Kipp , K. Samanta , F. R. Lux , M. Merte , J. -P. Hanke , M. Redies , F. Freimuth , S. Blügel , M. Ležaić , Y. Mokrousov

In a heavy fermion system, there exists the anomalous Hall effect caused by localized $f$-orbital freedom, in addition to the normal Hall effect due to the Lorentz force. In 1994, we found that the Hall coefficient caused by the anomalous…

Strongly Correlated Electrons · Physics 2009-10-30 Hiroshi Kontani , Morio Miyazawa , Kosaku Yamada

Based on DFT+U and Berry curvature calculations, we study the electronic structures and topological properties of 3d transition metal (TM) atom (from Ti to Co) adsorbed germanene (TM-germanene). We find that valley-polarized anomalous hall…

Mesoscale and Nanoscale Physics · Physics 2015-07-23 P. Zhou , L. Z. Sun

In ferromagnets, electric current generally induces transverse Hall voltage in proportion to magnetization (anomalous Hall effect), and it is frequently used for electrical readout of the up and down spin states. While these properties are…

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

Heterostructures involving transition metal dichalcogenides (TMDs) have attracted significant research interest due to the richness and versatility of the underlying physical phenomena. In this work, we investigate a heterostructure…

Materials Science · Physics 2025-10-02 Lyes Mesbahi , Omar Messaoudi , Hamid Bouzar , Samir Lounis

Valley-related multiple Hall effect and piezoelectric response are novel transport characteristics in low-dimensional system, however few studies have reported their coexistence in a single system as well as their coupling relationships. By…

Mesoscale and Nanoscale Physics · Physics 2024-10-22 Jianke Tian , Jia Li , Hengbo Liu , Yan Li , Ze Liu , Linyang Li , Jun Li , Guodong Liu , Junjie Shi

The large anomalous Hall effect (AHE) in antiferromagnetic (AF) materials arises from symmetry breaking equivalent to a ferromagnetic (FM) state. Consequently, this suggests that the observed AHE is induced by the intrinsic mechanism of the…

Mesoscale and Nanoscale Physics · Physics 2024-06-28 Yuki Arai , Junichi Hayashi , Keiki Takeda , Hideki Tou , Hitoshi Sugawara , Hisashi Kotegawa

We report the occurrence of ferromagnetic-like anomalous Hall effect (AHE) below $30$ mT in bismuth single and policrystals. The signatures of ferromagnetism in transport are not corroborated in magnetization measurements, thus suggesting…

Strongly Correlated Electrons · Physics 2021-03-03 Bruno Camargo , Piort Gierlowski , Andrei Alaferdov , Iraida Demchenko , Maciej Sawicki , Katarzyna Gas , Yakov Kopelevich

We theoretically investigated Anomalous Hall Effect (AHE) and Spin Hall Effect (SHE) transversally to the insulating spacer O, in magnetic tunnel junctions of the form F/O/F where F are ferromagnetic layers and O represents a tunnel…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 A. Vedyayev , N. Ryzhanova , N. Strelkov , B. Dieny

We derive a general scaling relation for the anomalous Hall effect in ferromagnetic metals involving multiple competing scattering mechanisms, described by a quadratic hypersurface in the space spanned by the partial resistivities. We also…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Dazhi Hou , Gang Su , Yuan Tian , Xiaofeng Jin , Shengyuan A. Yang , Qian Niu

Unconventional anomalous Hall effect was observed in antiferromagnetic state of EuZn$_2$Sb$_2$. Scaling of unconventional Hall conductivity with the longitudinal conductivity, and the magnitude of Hall angle indicate spin chirality despite…

Materials Science · Physics 2024-05-14 Karan Singh , Orest Pavlosiuk , Shovan Dan , Dariusz Kaczorowski , Piotr Wiśniewski

The interplay between nontrivial band topology and layered antiferromagnetism in MnBi2Te4 has opened up a new avenue for exploring topological phases of matter. Representative examples include the quantum anomalous Hall effect and axion…

A coherent description of the anomalous Hall effect (AHE) is presented that is applicable to pure as well as disordered alloy systems by treating all sources of the AHE on equal footing. This is achieved by an implementation of the…

Materials Science · Physics 2015-05-19 S. Lowitzer , D. Ködderitzsch , H. Ebert