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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 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

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

Quantum anomalous Hall (QAH) insulator is the key material to study emergent topological quantum effects, but its ultralow working temperature limits experiments. Here, by first-principles calculations, we find a family of stable…

Materials Science · Physics 2020-08-26 Yang Li , Jiaheng Li , Yang Li , Meng Ye , Fawei Zheng , Zetao Zhang , Jingheng Fu , Wenhui Duan , Yong Xu

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

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

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…

We theoretically show that the three-dimensional (3D) topological insulator (TI)/thin-film ferromagnetic metal (FMM) bilayer structure is possible to be a quantum anomalous Hall (QAH) insulator with a wide global band gap. Studying the band…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Katsuhiro Arimoto , Takashi Koretsune , Kentaro Nomura

Quantum anomalous Hall (QAH) effect generates quantized electric charge Hall conductance without external magnetic field. It requires both nontrivial band topology and time-reversal symmetry (TRS) breaking. In most cases, one could break…

Materials Science · Physics 2021-07-06 Haowei Xu , Jian Zhou , Ju Li

Electron correlation and topology are two central threads of modern condensed matter physics. Semiconductor moir\'e materials provide a highly tunable platform for studies of electron correlation. Correlation-driven phenomena, including the…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Tingxin Li , Shengwei Jiang , Bowen Shen , Yang Zhang , Lizhong Li , Trithep Devakul , Kenji Watanabe , Takashi Taniguchi , Liang Fu , Jie Shan , Kin Fai Mak

Topological insulators are bulk electronic insulators which possess symmetry protected gapless modes on their surfaces. Breaking the symmetries that underlie the gapless nature of the surface modes is predicted to give rise to exotic new…

Strongly Correlated Electrons · Physics 2014-10-15 J. G. Checkelsky , R. Yoshimi , A. Tsukazaki , K. S. Takahashi , Y. Kozuka , J. Falson , M. Kawasaki , Y. Tokura

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

Quantum anomalous Hall (QAH) phase is a two-dimensional bulk ferromagnetic insulator with a nonzero Chern number in presence of spin-orbit coupling (SOC) but absence of applied magnetic fields. Associated metallic chiral edge states host…

Strongly Correlated Electrons · Physics 2016-06-28 Jian Zhou , Qi-Feng Liang , Hongming Weng , Y. B. Chen , Shu-Hua Yao , Yan-Feng Chen , Jinming Dong , Guang-Yu Guo

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 effect (QAHE) has unique advantages in topotronic applications, but it is still challenging to realize the QAHE with tunable magnetic and topological properties for building functional devices. Through systematic…

Computational Physics · Physics 2022-12-29 Feng Xue , Yusheng Hou , Zhe Wang , Zhiming Xu , Ke He , Ruqian Wu , Yong Xu , Wenhui Duan

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura

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

The two-dimensional quantum anomalous Hall (QAH) effect is direct evidence of non-trivial Berry curvature topology in condensed matter physics. Searching for QAH in 2D materials, particularly with simplified fabrication methods, poses a…

Mesoscale and Nanoscale Physics · Physics 2024-04-22 Yueh-Ting Yao , Suyang Xu , Tay-Rong Chang

Quantum anomalous Hall (QAH) effect is a quantum Hall effect that occurs without the need of external magnetic field. A system composed of multiple parallel QAH layers is an effective high Chern number QAH insulator and the key to the…

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
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