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We present a theory of the Anomalous Hall Effect (AHE) in ferromagnetic (Ga,Mn)As in the regime when conduction is due to phonon-assisted hopping of holes between localized states in the impurity band. We show that the microscopic origin of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. A. Burkov , Leon Balents

Progress in magnetoelectric materials is hindered by apparently contradictory requirements for time-reversal symmetry broken and polar ferroelectric electronic structure in common ferromagnets and antiferromagnets. Alternative routes could…

Recent experiments reported an antisymmetric planar Hall effect, where the Hall current is odd in the in-plane magnetic field and scales linearly with both electric and magnetic fields applied. Existing theories rely exclusively on a spin…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Hui Wang , Yue-Xin Huang , Huiying Liu , Xiaolong Feng , Jiaojiao Zhu , Weikang Wu , Cong Xiao , Shengyuan A. Yang

In quantum matters hosting electron-electron correlation and spin-orbit coupling, spatial inhomogeneities, arising from competing ground states, can be essential for determining and understanding topological properties. A prominent example…

Materials Science · Physics 2020-04-22 Lingfei Wang , Qiyuan Feng , Han Gyeol Lee , Eun Kyo Ko , Qingyou Lu , Tae Won Noh

We demonstrate robust and reversible electric-current control of the anomalous Hall effect (AHE) in a two-dimensional WTe2/Fe3GeTe2 (FGT) stack. Applying a current through Td-WTe2 leads to a giant modulation of the AHE of the adjacent FGT…

Anomalous transports, including the anomalous Hall effect (AHE) and anomalous Nernst effect (ANE), are typical manifestations of time-reversal-symmetry-breaking responses in materials. In general, the two Hall states with opposite Hall…

Mesoscale and Nanoscale Physics · Physics 2026-01-09 Dan Li , Shuaiyu Wang , Jiabin chen , Zeling Li , Chaoxi Cui , Lei Li , Lei Wang , Zhi-Ming Yu , Xiaodong Zhou , Xiao-Ping Li

Topological semimetals in chiral crystals, which possess both structural handedness and band crossings (or nodes) with topological chiral charge, exhibit many exotic physical properties. Here we demonstrate that the structural and…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 Mingxiang Pan , Hui Zeng , Erqing Wang , Huaqing Huang

Recent observation of anomalous Hall effect (AHE) induced by magnetic field or spin magnetization lying in the Hall deflection plane has sparked interest in diverse mechanisms for inducing the Hall vector component perpendicular to the…

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 ability to control and manipulate time-reversal ($T$) symmetry-breaking phases with near-zero net magnetization is a sought-after goal in spintronic devices. The recently discovered hexagonal altermagnet manganese telluride…

Achieving atomically flat and stoichiometric films of chiral antiferromagnets (AFM) with two-dimensional kagome spin lattice structures are crucial for integrating these materials in both established and emerging antiferromagnetic…

Materials Science · Physics 2025-03-11 Indraneel Sinha , Saurav Sachin , Shreyashi Sinha , Roumita Roy , Sudipta Kanungo , Sujit Manna

In the second-order response regime, the Hall voltage can be nonzero without breaking the time-reversal symmetry, as long as the system is noncentrosymmetric. There are multiple mechanisms with different scaling rules that contribute to the…

Mesoscale and Nanoscale Physics · Physics 2022-04-22 Junxi Duan , Yu Jian , Yang Gao , Huimin Peng , Jinrui Zhong , Qi Feng , Yugui Yao

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 large magnetic anisotropy in the layered ferromagnet Fe_{1/4}TaS_2 leads to very sharp reversals of the magnetization $\bf M$ at the coercive field. We have exploited this feature to measure the anomalous Hall effect (AHE), focussing on…

Strongly Correlated Electrons · Physics 2009-11-13 J. G. Checkelsky , Minhyea Lee , E. Morosan , R. J. Cava , N. P. Ong

Noncollinear magnets with near-zero net magnetization and nontrivial bulk electronic topology hold significant promise for spintronic applications, though their scarcity necessitates purposeful design strategies. In this work, we report a…

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

It is well established that the anomalous Hall effect that a ferromagnet displays scales with its magnetization. Therefore, an antiferromagnet that has no net magnetization should exhibit no anomalous Hall effect. Here we show that the…

Full Heusler compounds with Cobalt as a primary element show anomalous transport properties owing to the Weyl fermions and broken time-reversal symmetry. We present here the study of anomalous Hall effect (AHE) in Co2FeGe Heusler compound.…

Materials Science · Physics 2021-11-17 Gaurav K. Shukla , Jyotirmay Sau , Nisha Shahi , Anupam K. Singh , Manoranjan Kumar , Sanjay Singh

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

The interplay between ferromagnetism and the non-trivial topology has unveiled intriguing phases in the transport of charges and spins. For example, it is consistently observed the so-called topological Hall effect (THE) featuring a hump…