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So far, experimentally realized quantum anomalous Hall (QAH) insulators all exhibit ferromagnetic order and the QAH effect only occurs at very low temperatures. On the other hand, up to now the QAH effect in antiferromagnetic (AFM)…

材料科学 · 物理学 2024-03-20 Peng-Jie Guo , Zheng-Xin Liu , Zhong-Yi Lu

Using symmetry analysis and semiclassical Boltzmann equation, we theoretically explore the planar Hall effect (PHE) in three-dimensional materials. We demonstrate that PHE is a general phenomenon that can occur in various systems regardless…

介观与纳米尺度物理 · 物理学 2023-08-23 Lei Li , Jin Cao , Chaoxi Cui , Zhi-Ming Yu , Yugui Yao

We study the effect of disorder on the anomalous Hall effect (AHE) in two-dimensional ferromagnets. The topological nature of AHE leads to the integer quantum Hall effect from a metal, i.e., the quantization of $\sigma_{xy}$ induced by the…

介观与纳米尺度物理 · 物理学 2009-11-10 Masaru Onoda , Naoto Nagaosa

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…

介观与纳米尺度物理 · 物理学 2016-11-22 Jing Wang , Biao Lian , Shou-Cheng Zhang

We introduce a cluster extension of multipole moments to discuss the anomalous Hall effect (AHE) in both ferromagnetic (FM) and antiferromagnetic (AFM) states in a unified framework. We first derive general symmetry requirements for the AHE…

材料科学 · 物理学 2017-03-15 Michi-To Suzuki , Takashi Koretsune , Masayuki Ochi , Ryotaro Arita

The Anomalous Hall Effect (AHE) manifests as a transverse voltage proportional to magnetization in ferromagnetic materials under the application of a charge current, being an indispensable tool for probing magnetism, especially in nanoscale…

Anomalous Hall Effect (AHE) response in magnetic systems is typically proportional to an out-of-plane magnetization component because of the restriction imposed by system symmetries, which demands that the magnetization, applied electric…

Intrinsic Hall effects, such as the anomalous Hall effect, originate from the orbital quantum geometry of Bloch states. However, in layered materials, the combined action of out-of-plane electric and magnetic fields couples to layer…

介观与纳米尺度物理 · 物理学 2026-04-23 Sunit Das , Amit Agarwal

Nonlinear responses in transport experiments may unveil information and generate new phenomena in materials that are not accessible at linear order due to symmetry constraints. While the linear anomalous Hall response strictly requires the…

介观与纳米尺度物理 · 物理学 2025-01-30 Ankita Bhattacharya , Annica M. Black-Schaffer

The planar Hall effect in 3D systems is an effective probe for their Berry curvature, topology, and electronic properties. However, the Berry curvature-induced conventional planar Hall effect is forbidden in 2D systems as the out-of-plane…

介观与纳米尺度物理 · 物理学 2025-02-04 Koushik Ghorai , Sunit Das , Harsh Varshney , Amit Agarwal

The nonlinear Hall effect (NLHE) is a phenomenon which could produce a transverse Hall voltage in a time-reversal-invariant material. Here, we report the real space characterization of NLHE evaluated through quantum transport in TaIrTe4…

介观与纳米尺度物理 · 物理学 2024-02-29 Sheng Luo , Chuang-Han Hsu , Guoqing Chang , Arun Bansil , Hsin Lin , Gengchiau Liang

The anomalous Hall effect, commonly observed in metallic magnets, has been established to originate from the time-reversal symmetry breaking by an internal macroscopic magnetization in ferromagnets or by a non-collinear magnetic order. Here…

The interplay between magnetism and topological electronic structure offers a large freedom to design strong anomalous Hall effect (AHE) materials. A nodal line from band inversion is a typical band structure to generate strong AHE.…

材料科学 · 物理学 2021-10-04 Congcong Le , Claudia Felser , Yan Sun

Recently, the planar Hall effect has attracted tremendous interest. In particular, an in-plane magnetization can induce an anomalous planar Hall effect with a $2\pi/3$ period for hexagon-warped energy bands. This effect is similar to the…

介观与纳米尺度物理 · 物理学 2023-07-31 C. M. Wang , Z. Z. Du , Hai-Zhou Lu , X. C. Xie

Though Weyl fermions have recently been observed in several materials with broken inversion symmetry, there are very few examples of such systems with broken time reversal symmetry. Various Co$_{2}$-based half-metallic ferromagnetic Heusler…

材料科学 · 物理学 2020-09-02 Shubhankar Roy , Ratnadwip Singha , Arup Ghosh , Arnab Pariari , Prabhat Mandal

Weyl semimetals have been theoretically predicted to become topological metals with anomalous Hall conductivity in amorphous systems. However, measuring the anomalous Hall conductivity in realistic materials, particularly those with…

介观与纳米尺度物理 · 物理学 2025-05-06 Jiong-Hao Wang , Yong Xu

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…

超导电性 · 物理学 2017-11-22 Zhiqiang Wang , John Berlinsky , Gertrud Zwicknagl , Catherine Kallin

The anomalous Hall effect due to the surface conduction band of 3D topological insulators with an out-of-plane magnetization is \textit{always} dominated by an intrinsic topological term of the order of the conductivity quantum. We…

介观与纳米尺度物理 · 物理学 2011-06-30 Dimitrie Culcer , S. Das Sarma

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…

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…