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Over a long period of exploration, the successful observation of quantized version of anomalous Hall effect (AHE) in thin film of magnetically-doped topological insulator completed a quantum Hall trio---quantum Hall effect (QHE), quantum…

Mesoscale and Nanoscale Physics · Physics 2015-08-18 Hongming Weng , Rui Yu , Xiao Hu , Xi Dai , Zhong Fang

Chiral edge modes inherent to the topological quantum anomalous Hall (QAH) effect are a pivotal topic of contemporary condensed matter research aiming at future quantum technology and application in spintronics. A large topological gap is…

Mesoscale and Nanoscale Physics · Physics 2022-10-12 Suhua Jin , Yunyouyou Xia , Wujun Shi , Jiayu Hu , Ralph Claessen , Werner Hanke , Ronny Thomale , Gang Li

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…

The interplay between strong correlations and topology can lead to the emergence of intriguing quantum states of matter. One well-known example is the fractional quantum Hall effect, where exotic electron fluids with fractionally charged…

Integer quantum Hall (IQH) states and quantum anomalous Hall (QAH) states show the same static (dc) response but distinct dynamical (ac) response. In particular, the ac anomalous Hall conductivity profile $\sigma_{yx}(\omega)$ is sensitive…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Alireza Habibi , Ahmad Z. Musthofa , Elaheh Adibi , Johan Ekström , Thomas L. Schmidt , Eddwi H. Hasdeo

In non-interacting systems, bands from non-trivial topology emerge strictly at half-filling and exhibit either the quantum anomalous Hall or spin Hall effects. Here we show using determinantal quantum Monte Carlo and an exactly solvable…

Mesoscale and Nanoscale Physics · Physics 2023-09-29 Peizhi Mai , Jinchao Zhao , Benjamin E. Feldman , Philip W. Phillips

In magnetic topological phases of matter, the quantum anomalous Hall (QAH) effect is an emergent phenomenon driven by ferromagnetic doping, magnetic proximity effects and strain engineering. The realization of QAH states with multiple…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 R. Adhikari , V. V. Volobuev , B. Faina , G. Springholz , A. Bonanni

Recent developments in solid state physics give a prospect to observe the parity anomaly in (2+1)D massive Dirac systems. Here we show, that the quantum anomalous Hall (QAH) state in orbital magnetic fields originates from the Dirac mass…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Jan Böttcher , Ewelina M. Hankiewicz

The realization of robust quantum anomalous Hall (QAH) phases at elevated temperatures remains a central challenge in condensed matter physics. While quadratic band crossing points (QBCP) provide a promising route towards QAH states,…

Mesoscale and Nanoscale Physics · Physics 2026-04-09 Yadong Jiang , Linghao Huang , Zhaochen Liu , Huan Wang , Jing Wang

We report a continuous phase transition between quantum-anomalous-Hall and trivial-insulator phases in a magnetic topological insulator upon magnetization rotation. The Hall conductivity transits from one plateau of quantized Hall…

The quantum spin Hall (QSH) state is a topologically non-trivial state of quantum matter which preserves time-reversal symmetry; it has an energy gap in the bulk, but topologically robust gapless states at the edge. Recently, this novel…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chaoxing Liu , Taylor L. Hughes , Xiao-Liang Qi , Kang Wang , Shou-Cheng Zhang

The experimentally observed correlated insulating states and quantum anomalous Hall (QAH) effect in twisted bilayer graphene (TBG) have drawn significant attention. However, up to date, the specific mechanisms of these intriguing phenomena…

Strongly Correlated Electrons · Physics 2021-01-27 Jianpeng Liu , Xi Dai

The interplay between spontaneous symmetry breaking and topology can result in exotic quantum states of matter. A celebrated example is the quantum anomalous Hall (QAH) state, which exhibits an integer quantum Hall effect at zero magnetic…

The quantum anomalous Hall (QAH) effect - a macroscopic manifestation of chiral band topology at zero magnetic field - has only been experimentally realized by magnetic doping of topological insulators (1 - 3) and delicate design of Moire…

Mesoscale and Nanoscale Physics · Physics 2021-10-14 Fabian R. Geisenhof , Felix Winterer , Anna M. Seiler , Jakob Lenz , Tianyi Xu , Fan Zhang , R. Thomas Weitz

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

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)…

Materials Science · Physics 2024-03-20 Peng-Jie Guo , Zheng-Xin Liu , Zhong-Yi Lu

After decades of searching for the dissipationless transport in the absence of any external magnetic field, quantum anomalous Hall effect (QAHE) was recently achieved in magnetic topological insulator (TI) films. However, the universal…

Mesoscale and Nanoscale Physics · Physics 2015-10-09 Xufeng Kou , Lei Pan , Jing Wang , Yabin Fan , Eun Sang Choi , Wei-Li Lee , Tianxiao Nie , Koichi Murata , Qiming Shao , Shou-Cheng Zhang , Kang L. Wang

Quantum anomalous Hall effect has been widely explored in both ferromagnetic and antiferromagnetic systems. Here, we propose an interaction-driven paramagnetic quantum anomalous Hall effect emerging in the Fermion-Hubbard model on a dice…

Strongly Correlated Electrons · Physics 2025-07-15 Yedi Shen , Sanyi You , Zhenhua Qiao , Qian Niu

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 have been experimentally observed in magnetically-doped topological insulators. However, the QAH effect only at extremely low temperatures due to the weak magnetic coupling, small band gap and low…

Materials Science · Physics 2019-09-24 Ping Li , Tian-Yi Cai