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Quantum anomalous Hall (QAH) effect appears in ferromagnetic topological insulators (FMTI) when a Dirac mass gap opens in the spectrum of the topological surface states (SS). Unaccountably, although the mean mass gap can exceed 28 meV (or…

Mesoscale and Nanoscale Physics · Physics 2020-10-26 Yi Xue Chong , Xiaolong Liu , Rahul Sharma , Andrey Kostin , Genda Gu , K. Fujita , J. C. Séamus Davis , Peter O. Sprau

Motivated by the recent experimental breakthrough on the observation of the fractional quantum anomalous Hall (FQAH) effects in semiconductor and graphene moir\'{e} materials, we explore the rich physics associated with the coexistence of…

Strongly Correlated Electrons · Physics 2024-03-27 Xue-Yang Song , Chao-Ming Jian , Liang Fu , Cenke Xu

The search of new topological insulators that demonstrate the quantum anomalous Hall effect (QAHE) is a cutting-edge research topic in condensed matter physics and materials science. So far, the QAHE has been observed only in Cr-doped…

Materials Science · Physics 2015-03-13 Jun Hu , Zhenyue Zhu , Ruqian Wu

The quantum anomalous Hall (QAH) effect has recently been realized in thin films of intrinsic magnetic topological insulators (IMTIs) like MnBi$_2$Te$_4$. Here we point out that that the QAH gaps of these IMTIs can be optimized, and that…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Chao Lei , Allan H. MacDonald

Remarkable recent experiments on the moir\'e structure formed by pentalayer rhombohedral graphene aligned with a hexagonal Boron-Nitride substrate report the discovery of a zero field fractional quantum hall effect. These "(Fractional)…

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

The experimental observation of quantum anomalous Hall effect (QAHE) in magnetic topological insulators has stimulated enormous interest in condensed-matter physics and materials science. For the purpose of realizing high-temperature QAHE,…

Materials Science · Physics 2019-05-24 Yang Ma , Yu Yun , Yuehui Li , Wenyu Xing , Yunyan Yao , Ranran Cai , Yangyang Chen , Yuan Ji , Peng Gao , Xin-Cheng Xie , Wei Han

The plateau phase transition in quantum anomalous Hall (QAH) insulators corresponds to a quantum state wherein a single magnetic domain gives way to multiple magnetic domains and then re-converges back to a single magnetic domain. The layer…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Deyi Zhuo , Ling-Jie Zhou , Yi-Fan Zhao , Ruoxi Zhang , Zi-Jie Yan , Annie G. Wang , Moses H. W. Chan , Chao-Xing Liu , Chui-Zhen Chen , Cui-Zu Chang

The quantum anomalous Hall effect (QAHE) is a quantum phenomenon in which a two-dimensional system exhibits a quantized Hall resistance $h/e^2$ in the absence of magnetic field, where $h$ is the Planck constant and $e$ is the electron…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Zhi-Qiang Zhang , Yu-Hang Li , Ming Lu , Hongfang Liu , Hailong Li , Hua Jiang , X. C. Xie

The quantum anomalous Hall (QAH) effect is a quintessential consequence of non-zero Berry curvature in momentum-space. The QAH insulator harbors dissipation-free chiral edge states in the absence of an external magnetic field. On the other…

Quantum anomalous Hall effect, with a trademark of dissipationless chiral edge states for electronics/spintronics transport applications, can be realized in materials with large spin-orbit coupling and strong intrinsic magnetization. After…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Muhammad Nadeem , Alex R. Hamilton , Michael S. Fuhrer , Xiaolin Wang

The quantum anomalous Hall effect (QAHE), the last member of Hall family, was predicted to exhibit quantized Hall conductivity e2/h without any external magnetic field. The QAHE shares a similar physical phenomenon with the integer quantum…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Cui-Zu Chang , Mingda Li

The quantum anomalous Hall (QAH) effect in magnetic topological insulator (TI) represents a new state of matter originated from the interplay between topology and magnetism. The defining characteristics of the QAH ground state are the…

Mesoscale and Nanoscale Physics · Physics 2021-03-26 Chang Liu , Yunbo Ou , Yang Feng , Gaoyuan Jiang , Weixiong Wu , Shaorui Li , Zijia Cheng , Ke He , Xucun Ma , Qikun Xue , Yayu Wang

We study an interacting spinless quadratic band touching model that realizes a topological Mott insulating state. We quench the interaction from a value corresponding to the nematic insulator to that of the quantum anomalous Hall (QAH)…

Strongly Correlated Electrons · Physics 2025-05-22 Lara Ulčakar , Gal Lemut , Tomaž Rejec , Jernej Mravlje

Due to the potential applications in the low-power-consumption spintronic devices, the quantum anomalous Hall effect (QAHE) has attracted tremendous attention in past decades. However, up to now, QAHE was only observed experimentally in…

Materials Science · Physics 2021-01-13 Zhen Zhang , Jing-Yang You , Xing-Yu Ma , Bo Gu , Gang Su

Recent studies have shown that certain antiferromagnetic (AFM) materials with the same symmetry breaking as ferromagnets can generate sufficiently large ferromagnetic (FM) responses. Here, we report that the new AFM material NbMnAs exhibits…

Strongly Correlated Electrons · Physics 2026-02-05 Yuki Arai , Junichi Hayashi , Keiki Takeda , Hideki Tou , Eiichi Matsuoka , Hitoshi Sugawara , Hisashi Kotegawa

We study the possibility of realizing quantum anomalous Hall effect (QAHE) with tunable Chern number through doping magnetic elements in the multi-layer topological insulator film. We find that high Chern number QAHE phases exist in the…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Hua Jiang , Zhenhua Qiao , Haiwen Liu , Qian Niu

Quantum anomalous Hall (QAH) insulators exhibit chiral dissipationless edge states without an external magnetic field, making them a promising material for quantum metrology and microwave applications. However, the breakdown of the…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Torsten Röper , Daniel Rosenbach , Achim Rosch , Alexey A. Taskin , Yoichi Ando , Erwann Bocquillon

The fractional quantum anomalous Hall effect (FQAHE), the analog of the fractional quantum Hall effect1 at zero magnetic field, is predicted to exist in topological flat bands under spontaneous time-reversal-symmetry breaking. The…

Mesoscale and Nanoscale Physics · Physics 2023-12-29 Zhengguang Lu , Tonghang Han , Yuxuan Yao , Aidan P. Reddy , Jixiang Yang , Junseok Seo , Kenji Watanabe , Takashi Taniguchi , Liang Fu , Long Ju

Nearly four decades after its theoretical prediction, the search for material realizations of quantum anomalous Hall effect (QAHE) remains a highly active field of research. Many materials have been predicted to exhibit quantum anomalous…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Leonard Werner Pingen , Jiaqi Wu , Bo Peng

The quantum anomalous Hall (QAH) effect is characterized by a dissipationless chiral edge state with a quantized Hall resistance at zero magnetic field. Manipulating the QAH state is of great importance in both the understanding of…