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Quantum anomalous Hall (QAH) effect in magnetic topological insulators is driven by the combination of spontaneous magnetic moments and spin-orbit coupling. Its recent experimental discovery raises the question if higher plateaus can also…

Mesoscale and Nanoscale Physics · Physics 2013-09-26 Jing Wang , Biao Lian , Haijun Zhang , Yong Xu , Shou-Cheng Zhang

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…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Jing Wang , Biao Lian , Shou-Cheng Zhang

The quantized version of anomalous Hall effect realized in magnetic topological insulators (MTIs) has great potential for the development of topological quantum physics and low-power electronic/spintronic applications. To enable…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Yuchen Ji , Zheng Liu , Peng Zhang , Lun Li , Shifei Qi , Peng Chen , Yong Zhang , Qi Yao , Zhongkai Liu , Kang L. Wang , Zhenhua Qiao , Xufeng Kou

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

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

The quantum anomalous Hall effect (QAHE) in magnetic topological insulators offers great potential to revolutionize quantum electrical metrology by establishing primary resistance standards operating at zero external magnetic field and…

The quantum anomalous Hall (QAH) effect is a novel topological spintronic phenomenon arising from inherent magnetization and spin-orbit coupling. Various theoretical and experimental efforts have been devoted in search of robust intrinsic…

Computational Physics · Physics 2017-01-18 Chengxi Huang , Jian Zhou , Haiping Wu , Kaiming Deng , Puru Jena , Erjun Kan

The discovery of the quantum Hall (QH) effect led to the realization of a topological electronic state with dissipationless currents circulating in one direction along the edge of a two dimensional electron layer under a strong magnetic…

The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal resistance, is the characteristic experimental fingerprint of Chern insulators - topologically non-trivial states of two-dimensional matter with broken…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Cui-Zu Chang , Chao-Xing Liu , Allan H. MacDonald

An intriguing observation on the quantum anomalous Hall effect (QAHE) in magnetic topological insulators (MTIs) is the dissipative edge states, where quantized Hall resistance is accompanied by nonzero longitudinal resistance. We…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Yanxia Xing , Fuming Xu , Qing-feng Sun , Jian Wang , Yu-gui Yao

The quantum anomalous Hall (QAH) state is a two-dimensional bulk insulator with a non-zero Chern number in absence of external magnetic fields. Protected gapless chiral edge states enable dissipationless current transport in electronic…

Mesoscale and Nanoscale Physics · Physics 2011-08-25 Hai-Jun Zhang , Xiao Zhang , Shou-Cheng Zhang

Quantum anomalous Hall (QAH) effect in magnetic topological insulator (TI) is a novel transport phenomenon in which the Hall resistance reaches the quantum plateau in the absence of external magnetic field. Recently, this exotic effect has…

Quantum anomalous Hall effect(QAHE) can only be realized at extremely low temperatures in magnetically doped topological insulators(TIs) due to limitations inherent with the doping precess. In an effort to boost the quantization temperature…

Mesoscale and Nanoscale Physics · Physics 2019-06-17 Xiong Yao , Bin Gao , Myung-Geun Han , Deepti Jain , Jisoo Moon , Jae Wook Kim , Yimei Zhu , Sang-Wook Cheong , Seongshik Oh

The quantum anomalous Hall (QAH) effect holds fundamental importance in topological physics and technological promise for electronics. It is generally believed that the QAH effect can only be realized in insulators. In this Letter, we…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

We report a nearly ideal quantum anomalous Hall effect in a three-dimensional topological insulator thin film with ferromagnetic doping. Near zero applied magnetic field we measure exact quantization in Hall resistance to within a part per…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 A. J. Bestwick , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

The quantum anomalous Hall effect (QAHE) is a topological state of matter with a quantized Hall resistance. It has been observed in some two-dimensional insulating materials such as magnetic topological insulator films and twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2024-02-06 Kai-Zhi Bai , Bo Fu , Zhenyu Zhang , Shun-Qing Shen

We generalize the topological phase diagram of magnetic topological insulator (TI) thin films in an extended parameter space comprising out-of-plane (OP) and in-plane (IP) exchange fields in the presence of structural inversion asymmetry…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 Kiminori Hattori

Magnetic topological states refer to a class of exotic phases in magnetic materials with their non-trivial topological property determined by magnetic spin configurations. An example of such states is the quantum anomalous Hall (QAH) state,…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Yi-Fan Zhao , Ruoxi Zhang , Zi-Ting Sun , Ling-Jie Zhou , Deyi Zhuo , Zi-Jie Yan , Hemian Yi , Ke Wang , Moses H. W. Chan , Chao-Xing Liu , K. T. Law , Cui-Zu Chang

The quantum anomalous Hall (QAH) effect, a condensed matter analog of the parity anomaly, is characterized by a quantized Hall conductivity in the absence of an external magnetic field. However, it has been recently shown that, even in the…

Mesoscale and Nanoscale Physics · Physics 2020-08-13 Jan Böttcher , Christian Tutschku , Ewelina M. Hankiewicz

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…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Chao Lei , Olle Heinonen , R. J. McQueeney , A. H. MacDonald
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