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We report the first experimental observation of magnetic-field-induced quantized charge accumulation in a quantum anomalous Hall (QAH) system -- a phenomenon originating from the intrinsic two-dimensional surface state and fundamentally…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Yuanze Li , Jiahao Chen , Renfei Wang , Yifan Zhang , Yingdong Deng , Jin Xie , Xufeng Kou , Yang Liu , Tian Liang

Topologically nontrivial electronic states can give rise to novel anomalous Hall effects. The potential appearance of these effects at room temperature holds promise for their application in magnetic sensing, spintronics, and energy…

Mesoscale and Nanoscale Physics · Physics 2025-01-24 Soumya Sankar , Xingkai Cheng , Tahir Murtaza , Caiyun Chen , Yuqi Qin , Xuezhao Wu , Qiming Shao , Rolf Lortz , Junwei Liu , Berthold Jäck

Recent experiments showing an integer quantum anomalous Hall effect in pentalayer rhombohedral graphene have been interpreted in terms of a valley-polarized interaction-induced Chern band. The resulting many-body state can be viewed as an…

Strongly Correlated Electrons · Physics 2024-12-10 Zhihuan Dong , Adarsh S. Patri , T. Senthil

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

The anomalous Hall effect (AHE), which in long-range ordered ferromagnets appears as a voltage transverse to the current and usually is proportional to the magnetization, often is believed to be of negligible size in antiferromagnets due to…

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…

Strongly Correlated Electrons · Physics 2020-04-28 Nick Bultinck , Shubhayu Chatterjee , Michael P. Zaletel

The quantum anomalous Hall effect (QAHE) is a fundamental quantum transport phenomenon that manifests as a quantized transverse conductance in response to a longitudinally applied electric field in the absence of an external magnetic field,…

Nontrivial band topology combined with magnetic ordering can produce quantum anomalous Hall insulator (QAHI), which may lead to advances in device concepts. Here, through first-principles calculations, stable monolayer $\mathrm{Fe_2Br_2}$…

Materials Science · Physics 2022-02-22 San-Dong Guo , Yu-Tong Zhu , Bang-Gui Liu

The quantum geometry has significant consequences in determining transport and optical properties in quantum materials. Here, we use a semiclassical formalism coupled with perturbative corrections unifying the nonlinear anomalous Hall…

Mesoscale and Nanoscale Physics · Physics 2024-01-11 Daniel Kaplan , Tobias Holder , Binghai Yan

A large anomalous Hall effect (AHE) has recently been observed in the intercalated transition metal dichalcogenide (TMDC) Co$_{1/3}$NbS$_{2}$ below a known magnetic phase transition at $T_N$ = 29 K. The spins in this material are widely…

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 layered antiferromagnetic MnBi2Te4 films have been proposed to be an intrinsic quantum anomalous Hall (QAH) insulator with a large gap. To realize this proposal, it is crucial to open a magnetic gap of surface states. However, recent…

Materials Science · Physics 2020-04-02 Huixia Fu , Chao-Xing Liu , Binghai Yan

The anomalous Hall effect (AHE) is a non-linear Hall effect appearing in magnetic conductors, boosted by internal magnetism beyond what is expected from the ordinary Hall effect. With the recent discovery of the quantized version of the…

Materials Science · Physics 2019-05-06 Jisoo Moon , Jinwoong Kim , Nikesh Koirala , Maryam Salehi , David Vanderbilt , Seongshik Oh

The in-plane-magnetic-field-induced Hall effect (IPHE) observed in Weyl semimetals and PT-symmetric antiferromagnets has attracted increasing attention, as it breaks the stereotype that the Hall effect is induced by an out-of-plane magnetic…

Materials Science · Physics 2025-01-22 Meng Wang , Jianbing Zhang , Di Tian , Pu Yu , Fumitaka Kagawa

Combining magnetism and nontrivial band topology gives rise to quantum anomalous Hall (QAH) insulators and exotic quantum phases such as the QAH effect where current flows without dissipation along quantized edge states. Inducing magnetic…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Qile Li , Chi Xuan Trang , Weikang Wu , Jinwoong Hwang , Nikhil Medhekar , Sung-Kwan Mo , Shengyuan A. Yang , Mark T Edmonds

Topological insulators lacking time-reversal symmetry can exhibit the quantum anomalous Hall effect. Odd-layer thick MnBi$_2$Te$_4$ is a promising platform due to its intrinsic magnetic nature, however, quantization is rarely observed in…

In this paper, we study both the continuous model and the discrete model of the Quantum Hall Effect (QHE) on the hyperbolic plane. The Hall conductivity is identified as a geometric invariant associated to an imprimitivity algebra of…

dg-ga · Mathematics 2008-11-26 A. Carey , K. Hannabus , V. Mathai , P. McCann

We theoretically demonstrate that Chern number tunable quantum anomalous Hall effect (QAHE) and second-order topological insulators can be induced in the two-dimensional $\mathbb{Z}_2$ topological insulator (TI), i.e., Kane-Mele model, by…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Zhengtian Li , Zeyu Li , Zhenhua Qiao

Most canted antiferromagnets are also anomalous Hall antiferromagnets (AHE AFMs), i.e. they have an anomalous Hall response and other responses with the same symmetry requirements. We suggest that AHE AFMs are promising materials as hosts…

Mesoscale and Nanoscale Physics · Physics 2019-02-28 Xiao Li , Allan H. MacDonald , Hua Chen

A van der Waals heterostructure combined with intrinsic magnetism and topological orders have recently paved attractive avenues to realize quantum anomalous Hall effects. In this work, using first-principles calculations and effective model…

Materials Science · Physics 2020-04-22 Ruiling Zou , Fangyang Zhan , Baobing Zheng , Xiaozhi Wu , Jing Fan , Rui Wang
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