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The rise of graphene marks the advent of two-dimensional atomic crystals, which have exhibited a cornucopia of intriguing properties, such as the integer and fractional quantum Hall effects, valley Hall effect, charge density waves and…

介观与纳米尺度物理 · 物理学 2017-08-09 Jingjing Niu , Qingqing Ji , Baomin Yan , Mingqiang Li , Peng Gao , Zhongfan Liu , Yanfeng Zhang , Dapeng Yu , Xiaosong Wu

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…

介观与纳米尺度物理 · 物理学 2024-01-09 Jonathan Kipp , Fabian R. Lux , Thorben Pürling , Abigail Morrison , Stefan Blügel , Daniele Pinna , Yuriy Mokrousov

The Hall effect arises when time reversal symmetry is broken by either intrinsic magnetism or an external magnetic field. The latter contribution dominates in non-magnetic materials, in which the angular dependence of the Hall effect is…

介观与纳米尺度物理 · 物理学 2021-01-13 Joshua Mutch , Xuetao Ma , Chong Wang , Paul Malinowski , Joss Ayres-Sims , Qianni Jiang , Zhaoyu Liu , Di Xiao , Matthew Yankowitz , Jiun-Haw Chu

The anomalous Hall effect is investigated for ferromagnetic Fe3Sn2 single crystal with geometrically frustrated kagome bilayer of Fe. The scaling behavior between anomalous Hall resistivity rho_{xy}^{A} and longitudinal resistivity rho_{xx}…

强关联电子 · 物理学 2016-10-18 Qi Wang , Shanshan Sun , Xiao Zhang , Fei Pang , Hechang Lei

Quantum anomalous Hall effect has been widely explored in both ferromagnetic and antiferromagnetic systems. Here, we propose an interaction-driven paramagnetic quantum anomalous Hall effect emerging in the Fermion-Hubbard model on a dice…

强关联电子 · 物理学 2025-07-15 Yedi Shen , Sanyi You , Zhenhua Qiao , Qian Niu

The symmetry considerations that imply a non-zero anomalous Hall effect (AHE) in certain non-collinear antiferromagnets also imply both non-zero orbital magnetization and a net spin magnetization. We have explicitly evaluated the orbital…

介观与纳米尺度物理 · 物理学 2020-04-01 Hua Chen , Tzu-Cheng Wang , Di Xiao , Guang-Yu Guo , Qian Niu , Allan H. MacDonald

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…

介观与纳米尺度物理 · 物理学 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

The anomalous Hall effect in two-dimensional ferromagnets is discussed to be the physical realization of the parity anomaly in (2+1)D, and the band crossing points behave as the topological singularity in the Brillouin zone. This appears as…

强关联电子 · 物理学 2009-11-07 Masaru Onoda , Naoto Nagaosa

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…

材料科学 · 物理学 2026-04-09 Surasree Sadhukhan , Stepan S. Tsirkin , Yaroslav Zhumagulov , Igor. I. Mazin

For the van der Waals magnet Fe$_3$GeTe$_2$, although a ferromagnetic ground state has been reported, there are also reports of complex magnetic behavior suggesting coexistence of ferromagnetism and antiferromagnetism due to the intricate…

材料科学 · 物理学 2025-12-09 Neesha Yadav , Shivani Kumawat , Sandeep , Brajesh Kumar Mani , Pintu Das

The use of Berry-phase concepts has established a strong link between the anomalous Hall effect (AHE) and the topological character of the Hall currents. However, the occurrence of sign competition in the Berry curvature often hinders the…

强关联电子 · 物理学 2025-09-19 Wojciech Brzezicki , Carmine Autieri , Mario Cuoco

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…

材料科学 · 物理学 2015-06-23 Juergen Kübler , Claudia Felser

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…

The anomalous Hall effect (AHE) is studied on the surface of a 3D magnetic topological insulator. By applying a modified semi-classical framework, all three contributions to the AHE, the intrinsic Berry phase curvature effect, the side-jump…

介观与纳米尺度物理 · 物理学 2019-07-24 Amir Sabzalipour , Bart Partoens

We show that the quantum anomalous Hall effect almost always occurs in magnetic topological insulator thin films whenever the top and bottom surface layer magnetizations are parallel, independent of the interior layer magnetization…

介观与纳米尺度物理 · 物理学 2022-12-07 Chao Lei , Olle Heinonen , R. J. McQueeney , A. H. MacDonald

The anomalous Hall effect (AHE) occurs in magnetic systems and also unexpectedly in non-magnetic materials adjacent to magnetic insulators via the heterointerface interactions. However, the AHE in heterostructures induced by magnetic…

We use a lowest Landau level model to study the recent observation of an anomalous Hall effect in twisted bilayer graphene. This effective model is rooted in the occurrence of Chern bands which arise due to the coupling between the graphene…

强关联电子 · 物理学 2020-04-28 Nick Bultinck , Shubhayu Chatterjee , Michael P. Zaletel

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…

Using first-principles calculations we investigate the intrinsic origins of the anomalous Hall effect (AHE) and the anomalous Nernst effect (ANE) in antiperovskite ferrimagnet Mn4N. We predict that the AHE is significantly enhanced under…

材料科学 · 物理学 2023-04-07 Temuujin Bayaraa , Vsevolod Ivanov , Liang Z. Tan , Sinéad M. Griffin

Electrons, commonly moving along the applied electric field, acquire in certain magnets a dissipationless transverse velocity. This spontaneous Hall effect, discovered more than a century ago, has been understood in terms of the…

介观与纳米尺度物理 · 物理学 2022-09-27 Libor Šmejkal , Rafael González-Hernández , Tomáš Jungwirth , Jairo Sinova