Colloquium: Quantum anomalous Hall effect

Chang, Cui-Zu; Liu, Chao-Xing; MacDonald, Allan H.

doi:10.1103/revmodphys.95.011002

Colloquium: Quantum anomalous Hall effect

Journal Article · Mon Jan 23 00:00:00 EST 2023 · Reviews of Modern Physics

DOI:https://doi.org/10.1103/revmodphys.95.011002· OSTI ID:1968228

^[1]; Liu, Chao-Xing ^[2]; MacDonald, Allan H. ^[3]

Pennsylvania State Univ., University Park, PA (United States); University of Texas at Austin
Pennsylvania State Univ., University Park, PA (United States)
Univ. of Texas, Austin, TX (United States)

The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal resistance, is the characteristic experimental fingerprint of Chern insulators—topologically nontrivial states of two-dimensional matter with broken time-reversal symmetry. In Chern insulators, nontrivial bulk band topology is expressed by chiral states that carry current along sample edges without dissipation. Here, the quantum anomalous Hall (QAH) effect refers to QH effects that occur in the absence of external magnetic fields due to spontaneously broken time-reversal symmetry. The QAH effect has now been realized in four different classes of two-dimensional materials: (i) thin films of magnetically (Cr- and/or V-) doped topological insulators in the (Bi,Sb)₂T₃ family, (ii) thin films of the intrinsic magnetic topological insulator MnBi₂Te₄, (iii) moiré materials formed from graphene, and (iv) moiré materials formed from transition-metal dichalcogenides. In this Colloquium, the physical mechanisms responsible for each class of QAH insulator are reviewed, with both differences and commonalities highlighted, and potential applications of the QAH effect are commented upon.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Texas, Austin, TX (United States); University of Texas, Austin, TX (United States)

Sponsoring Organization:: AFOSR; Army Research Office (ARO); DE-SC0022106; Gordon and Betty Moore Foundation’s EPiQS Initiative; NSF-MRSEC; USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0019064; SC0019481; SC0022106; SC0023113

OSTI ID:: 1968228

Alternate ID(s):: OSTI ID: 2437701
OSTI ID: 1968946

Journal Information:: Reviews of Modern Physics, Journal Name: Reviews of Modern Physics Journal Issue: 1 Vol. 95; ISSN 0034-6861

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Quasi-one-dimensional quantum anomalous Hall systems as new platforms for scalable topological quantum computation Chen, Chui-Zhen; Xie, Ying-Ming; Liu, Jie Physical Review B, Vol. 97, Issue 10 https://doi.org/10.1103/PhysRevB.97.104504	journal	March 2018
Chromium-induced ferromagnetism with perpendicular anisotropy in topological crystalline insulator SnTe (111) thin films Wang, Fei; Zhang, Hongrui; Jiang, Jue Physical Review B, Vol. 97, Issue 11 https://doi.org/10.1103/PhysRevB.97.115414	journal	March 2018
Quantum phase transition of chiral Majorana fermions in the presence of disorder Lian, Biao; Wang, Jing; Sun, Xiao-Qi Physical Review B, Vol. 97, Issue 12 https://doi.org/10.1103/PhysRevB.97.125408	journal	March 2018
Part-per-million quantization and current-induced breakdown of the quantum anomalous Hall effect Fox, E. J.; Rosen, I. T.; Yang, Yanfei Physical Review B, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevB.98.075145	journal	August 2018
Electronic fingerprints of Cr and V dopants in the topological insulator Sb2Te3 Zhang, Wenhan; West, Damien; Lee, Seng Huat Physical Review B, Vol. 98, Issue 11 https://doi.org/10.1103/PhysRevB.98.115165	journal	September 2018
Topological quantum phase transition in magnetic topological insulator upon magnetization rotation Kawamura, Minoru; Mogi, Masataka; Yoshimi, Ryutaro Physical Review B, Vol. 98, Issue 14 https://doi.org/10.1103/PhysRevB.98.140404	journal	October 2018
Surfaces of axion insulators Varnava, Nicodemos; Vanderbilt, David Physical Review B, Vol. 98, Issue 24 https://doi.org/10.1103/PhysRevB.98.245117	journal	December 2018
Nearly flat Chern bands in moiré superlattices Zhang, Ya-Hui; Mao, Dan; Cao, Yuan Physical Review B, Vol. 99, Issue 7 https://doi.org/10.1103/PhysRevB.99.075127	journal	February 2019
Transport properties of thin flakes of the antiferromagnetic topological insulator MnB i 2 T e 4 Cui, Jianhua; Shi, Mengzhu; Wang, Honghui Physical Review B, Vol. 99, Issue 15 https://doi.org/10.1103/PhysRevB.99.155125	journal	April 2019
Pseudo Landau level representation of twisted bilayer graphene: Band topology and implications on the correlated insulating phase Liu, Jianpeng; Liu, Junwei; Dai, Xi Physical Review B, Vol. 99, Issue 15 https://doi.org/10.1103/PhysRevB.99.155415	journal	April 2019
Converting a two-dimensional ferromagnetic insulator into a high-temperature quantum anomalous Hall system by means of an appropriate surface modification Zhang, Huisheng; Qin, Wei; Chen, Mingxing Physical Review B, Vol. 99, Issue 16 https://doi.org/10.1103/PhysRevB.99.165410	journal	April 2019
Faithful tight-binding models and fragile topology of magic-angle bilayer graphene Po, Hoi Chun; Zou, Liujun; Senthil, T. Physical Review B, Vol. 99, Issue 19 https://doi.org/10.1103/PhysRevB.99.195455	journal	May 2019
Topological Confinement in Bilayer Graphene Martin, Ivar; Blanter, Ya. M.; Morpurgo, A. F. Physical Review Letters, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevLett.100.036804	journal	January 2008
Topological Mott Insulators Raghu, S.; Qi, Xiao-Liang; Honerkamp, C. Physical Review Letters, Vol. 100, Issue 15 https://doi.org/10.1103/PhysRevLett.100.156401	journal	April 2008
Quantum Spin Hall Effect in Inverted Type-II Semiconductors Liu, Chaoxing; Hughes, Taylor L.; Qi, Xiao-Liang Physical Review Letters, Vol. 100, Issue 23 https://doi.org/10.1103/PhysRevLett.100.236601	journal	June 2008
Quantum Anomalous Hall Effect in Hg 1 − y Mn y Te Quantum Wells Liu, Chao-Xing; Qi, Xiao-Liang; Dai, Xi Physical Review Letters, Vol. 101, Issue 14 https://doi.org/10.1103/PhysRevLett.101.146802	journal	October 2008
Itinerant Electron-Driven Chiral Magnetic Ordering and Spontaneous Quantum Hall Effect in Triangular Lattice Models Martin, Ivar; Batista, C. D. Physical Review Letters, Vol. 101, Issue 15 https://doi.org/10.1103/PhysRevLett.101.156402	journal	October 2008
Magnetoelectric Polarizability and Axion Electrodynamics in Crystalline Insulators Essin, Andrew M.; Moore, Joel E.; Vanderbilt, David Physical Review Letters, Vol. 102, Issue 14 https://doi.org/10.1103/PhysRevLett.102.146805	journal	April 2009
Magnetic Impurities on the Surface of a Topological Insulator Liu, Qin; Liu, Chao-Xing; Xu, Cenke Physical Review Letters, Vol. 102, Issue 15 https://doi.org/10.1103/PhysRevLett.102.156603	journal	April 2009
Spontaneous Quantum Hall States in Chirally Stacked Few-Layer Graphene Systems Zhang, Fan; Jung, Jeil; Fiete, Gregory A. Physical Review Letters, Vol. 106, Issue 15 https://doi.org/10.1103/PhysRevLett.106.156801	journal	April 2011
Surface-Quantized Anomalous Hall Current and the Magnetoelectric Effect in Magnetically Disordered Topological Insulators Nomura, Kentaro; Nagaosa, Naoto Physical Review Letters, Vol. 106, Issue 16 https://doi.org/10.1103/PhysRevLett.106.166802	journal	April 2011
High-Temperature Fractional Quantum Hall States Tang, Evelyn; Mei, Jia-Wei; Wen, Xiao-Gang Physical Review Letters, Vol. 106, Issue 23 https://doi.org/10.1103/PhysRevLett.106.236802	journal	June 2011
Nearly Flatbands with Nontrivial Topology Sun, Kai; Gu, Zhengcheng; Katsura, Hosho Physical Review Letters, Vol. 106, Issue 23 https://doi.org/10.1103/PhysRevLett.106.236803	journal	June 2011
Fractional Quantum Hall States at Zero Magnetic Field Neupert, Titus; Santos, Luiz; Chamon, Claudio Physical Review Letters, Vol. 106, Issue 23 https://doi.org/10.1103/PhysRevLett.106.236804	journal	June 2011
Weyl Semimetal in a Topological Insulator Multilayer Burkov, A. A.; Balents, Leon Physical Review Letters, Vol. 107, Issue 12 https://doi.org/10.1103/PhysRevLett.107.127205	journal	September 2011
Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr 2 Se 4 Xu, Gang; Weng, Hongming; Wang, Zhijun Physical Review Letters, Vol. 107, Issue 18 https://doi.org/10.1103/PhysRevLett.107.186806	journal	October 2011
Landau Quantization and the Thickness Limit of Topological Insulator Thin Films of Sb 2 Te 3 Jiang, Yeping; Wang, Yilin; Chen, Mu Physical Review Letters, Vol. 108, Issue 1 https://doi.org/10.1103/PhysRevLett.108.016401	journal	January 2012
Electrically Tunable Quantum Anomalous Hall Effect in Graphene Decorated by 5 d Transition-Metal Adatoms Zhang, Hongbin; Lazo, Cesar; Blügel, Stefan Physical Review Letters, Vol. 108, Issue 5 https://doi.org/10.1103/PhysRevLett.108.056802	journal	February 2012
Coupled Spin and Valley Physics in Monolayers of MoS 2 and Other Group-VI Dichalcogenides Xiao, Di; Liu, Gui-Bin; Feng, Wanxiang Physical Review Letters, Vol. 108, Issue 19 https://doi.org/10.1103/PhysRevLett.108.196802	journal	May 2012
Valley-Polarized Metals and Quantum Anomalous Hall Effect in Silicene Ezawa, Motohiko Physical Review Letters, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRevLett.109.055502	journal	August 2012
Orbital Magnetization as a Local Property Bianco, Raffaello; Resta, Raffaele Physical Review Letters, Vol. 110, Issue 8 https://doi.org/10.1103/PhysRevLett.110.087202	journal	February 2013
Chern Insulators from Heavy Atoms on Magnetic Substrates Garrity, Kevin F.; Vanderbilt, David Physical Review Letters, Vol. 110, Issue 11 https://doi.org/10.1103/PhysRevLett.110.116802	journal	March 2013
Quantum Anomalous Hall Effect in 2D Organic Topological Insulators Wang, Z. F.; Liu, Zheng; Liu, Feng Physical Review Letters, Vol. 110, Issue 19 https://doi.org/10.1103/PhysRevLett.110.196801	journal	May 2013
Anomalous Edge Transport in the Quantum Anomalous Hall State Wang, Jing; Lian, Biao; Zhang, Haijun Physical Review Letters, Vol. 111, Issue 8 https://doi.org/10.1103/PhysRevLett.111.086803	journal	August 2013
Large-Gap Quantum Spin Hall Insulators in Tin Films Xu, Yong; Yan, Binghai; Zhang, Hai-Jun Physical Review Letters, Vol. 111, Issue 13 https://doi.org/10.1103/PhysRevLett.111.136804	journal	September 2013
Large-Chern-Number Quantum Anomalous Hall Effect in Thin-Film Topological Crystalline Insulators Fang, Chen; Gilbert, Matthew J.; Bernevig, B. Andrei Physical Review Letters, Vol. 112, Issue 4 https://doi.org/10.1103/PhysRevLett.112.046801	journal	January 2014
Chemical-Potential-Dependent Gap Opening at the Dirac Surface States of Bi 2 Se 3 Induced by Aggregated Substitutional Cr Atoms Chang, Cui-Zu; Tang, Peizhe; Wang, Yi-Lin Physical Review Letters, Vol. 112, Issue 5 https://doi.org/10.1103/PhysRevLett.112.056801	journal	February 2014
Valley-Polarized Quantum Anomalous Hall Effect in Silicene Pan, Hui; Li, Zhenshan; Liu, Cheng-Cheng Physical Review Letters, Vol. 112, Issue 10 https://doi.org/10.1103/PhysRevLett.112.106802	journal	March 2014
Time Reversal Symmetric Topological Exciton Condensate in Bilayer HgTe Quantum Wells Budich, Jan Carl; Trauzettel, Björn; Michetti, Paolo Physical Review Letters, Vol. 112, Issue 14 https://doi.org/10.1103/PhysRevLett.112.146405	journal	April 2014
Interplay of Exciton Condensation and the Quantum Spin Hall Effect in InAs / GaSb Bilayers Pikulin, D. I.; Hyart, T. Physical Review Letters, Vol. 112, Issue 17 https://doi.org/10.1103/PhysRevLett.112.176403	journal	April 2014
Quantum Spin Hall and Quantum Anomalous Hall States Realized in Junction Quantum Wells Zhang, Haijun; Xu, Yong; Wang, Jing Physical Review Letters, Vol. 112, Issue 21 https://doi.org/10.1103/PhysRevLett.112.216803	journal	May 2014
Topological Spin Texture in a Quantum Anomalous Hall Insulator Wu, Jiansheng; Liu, Jie; Liu, Xiong-Jun Physical Review Letters, Vol. 113, Issue 13 https://doi.org/10.1103/PhysRevLett.113.136403	journal	September 2014
Scale-Invariant Quantum Anomalous Hall Effect in Magnetic Topological Insulators beyond the Two-Dimensional Limit Kou, Xufeng; Guo, Shih-Ting; Fan, Yabin Physical Review Letters, Vol. 113, Issue 13 https://doi.org/10.1103/PhysRevLett.113.137201	journal	September 2014
Quantum Anomalous Hall Effect in Magnetically Doped InAs/GaSb Quantum Wells Wang, Qing-Ze; Liu, Xin; Zhang, Hai-Jun Physical Review Letters, Vol. 113, Issue 14 https://doi.org/10.1103/PhysRevLett.113.147201	journal	September 2014
Prediction of Near-Room-Temperature Quantum Anomalous Hall Effect on Honeycomb Materials Wu, Shu-Chun; Shan, Guangcun; Yan, Binghai Physical Review Letters, Vol. 113, Issue 25 https://doi.org/10.1103/PhysRevLett.113.256401	journal	December 2014
Experimental Verification of the Van Vleck Nature of Long-Range Ferromagnetic Order in the Vanadium-Doped Three-Dimensional Topological Insulator Sb 2 Te 3 Li, Mingda; Chang, Cui-Zu; Wu, Lijun Physical Review Letters, Vol. 114, Issue 14 https://doi.org/10.1103/PhysRevLett.114.146802	journal	April 2015
Precise Quantization of the Anomalous Hall Effect near Zero Magnetic Field Bestwick, A. J.; Fox, E. J.; Kou, Xufeng Physical Review Letters, Vol. 114, Issue 18 https://doi.org/10.1103/PhysRevLett.114.187201	journal	May 2015
Zero-Field Dissipationless Chiral Edge Transport and the Nature of Dissipation in the Quantum Anomalous Hall State Chang, Cui-Zu; Zhao, Weiwei; Kim, Duk Y. Physical Review Letters, Vol. 115, Issue 5 https://doi.org/10.1103/PhysRevLett.115.057206	journal	July 2015
Observation of the Zero Hall Plateau in a Quantum Anomalous Hall Insulator Feng, Yang; Feng, Xiao; Ou, Yunbo Physical Review Letters, Vol. 115, Issue 12 https://doi.org/10.1103/PhysRevLett.115.126801	journal	September 2015
Anderson Localization from the Berry-Curvature Interchange in Quantum Anomalous Hall Systems Qiao, Zhenhua; Han, Yulei; Zhang, Lei Physical Review Letters, Vol. 117, Issue 5 https://doi.org/10.1103/PhysRevLett.117.056802	journal	July 2016
Observation of the Quantum Anomalous Hall Insulator to Anderson Insulator Quantum Phase Transition and its Scaling Behavior Chang, Cui-Zu; Zhao, Weiwei; Li, Jian Physical Review Letters, Vol. 117, Issue 12 https://doi.org/10.1103/PhysRevLett.117.126802	journal	September 2016
Unconventional Topological Phase Transition in Two-Dimensional Systems with Space-Time Inversion Symmetry Ahn, Junyeong; Yang, Bohm-Jung Physical Review Letters, Vol. 118, Issue 15 https://doi.org/10.1103/PhysRevLett.118.156401	journal	April 2017
Scaling of the Quantum Anomalous Hall Effect as an Indicator of Axion Electrodynamics Grauer, S.; Fijalkowski, K. M.; Schreyeck, S. Physical Review Letters, Vol. 118, Issue 24 https://doi.org/10.1103/PhysRevLett.118.246801	journal	June 2017
Current-Driven Instability of the Quantum Anomalous Hall Effect in Ferromagnetic Topological Insulators Kawamura, Minoru; Yoshimi, Ryutaro; Tsukazaki, Atsushi Physical Review Letters, Vol. 119, Issue 1 https://doi.org/10.1103/PhysRevLett.119.016803	journal	July 2017
Valley-Polarized Quantum Anomalous Hall Effect in Ferrimagnetic Honeycomb Lattices Zhou, Jian; Sun, Qiang; Jena, Puru Physical Review Letters, Vol. 119, Issue 4 https://doi.org/10.1103/PhysRevLett.119.046403	journal	July 2017
3D Quantum Hall Effect of Fermi Arcs in Topological Semimetals Wang, C. M.; Sun, Hai-Peng; Lu, Hai-Zhou Physical Review Letters, Vol. 119, Issue 13 https://doi.org/10.1103/PhysRevLett.119.136806	journal	September 2017
Realization of the Axion Insulator State in Quantum Anomalous Hall Sandwich Heterostructures Xiao, Di; Jiang, Jue; Shin, Jae-Ho Physical Review Letters, Vol. 120, Issue 5 https://doi.org/10.1103/PhysRevLett.120.056801	journal	January 2018
1 2 ( e 2 / h ) Conductance Plateau without 1D Chiral Majorana Fermions Ji, Wenjie; Wen, Xiao-Gang Physical Review Letters, Vol. 120, Issue 10 https://doi.org/10.1103/PhysRevLett.120.107002	journal	March 2018
Time-Reversal Symmetry-Breaking Nematic Insulators near Quantum Spin Hall Phase Transitions Xue, Fei; MacDonald, A. H. Physical Review Letters, Vol. 120, Issue 18 https://doi.org/10.1103/PhysRevLett.120.186802	journal	May 2018
Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands Wu, Fengcheng; Lovorn, Timothy; Tutuc, Emanuel Physical Review Letters, Vol. 121, Issue 2 https://doi.org/10.1103/PhysRevLett.121.026402	journal	July 2018
Effects of Random Domains on the Zero Hall Plateau in the Quantum Anomalous Hall Effect Chen, Chui-Zhen; Liu, Haiwen; Xie, X. C. Physical Review Letters, Vol. 122, Issue 2 https://doi.org/10.1103/PhysRevLett.122.026601	journal	January 2019
Topological Insulators in Twisted Transition Metal Dichalcogenide Homobilayers Wu, Fengcheng; Lovorn, Timothy; Tutuc, Emanuel Physical Review Letters, Vol. 122, Issue 8 https://doi.org/10.1103/PhysRevLett.122.086402	journal	February 2019
Unique Thickness-Dependent Properties of the van der Waals Interlayer Antiferromagnet MnBi 2 Te 4 Films Otrokov, M. M.; Rusinov, I. P.; Blanco-Rey, M. Physical Review Letters, Vol. 122, Issue 10 https://doi.org/10.1103/PhysRevLett.122.107202	journal	March 2019
Topological Axion States in the Magnetic Insulator MnBi 2 Te 4 with the Quantized Magnetoelectric Effect Zhang, Dongqin; Shi, Minji; Zhu, Tongshuai Physical Review Letters, Vol. 122, Issue 20 https://doi.org/10.1103/PhysRevLett.122.206401	journal	May 2019
Strong Coupling Phases of Partially Filled Twisted Bilayer Graphene Narrow Bands Kang, Jian; Vafek, Oskar Physical Review Letters, Vol. 122, Issue 24 https://doi.org/10.1103/PhysRevLett.122.246401	journal	June 2019
Ferromagnetic Mott state in Twisted Graphene Bilayers at the Magic Angle Seo, Kangjun; Kotov, Valeri N.; Uchoa, Bruno Physical Review Letters, Vol. 122, Issue 24 https://doi.org/10.1103/PhysRevLett.122.246402	journal	June 2019
Higher-Order Topology of the Axion Insulator EuIn 2 As 2 Xu, Yuanfeng; Song, Zhida; Wang, Zhijun Physical Review Letters, Vol. 122, Issue 25 https://doi.org/10.1103/PhysRevLett.122.256402	journal	June 2019
Large Anomalous Hall Effect in Topological Insulators with Proximitized Ferromagnetic Insulators Mogi, Masataka; Nakajima, Taro; Ukleev, Victor Physical Review Letters, Vol. 123, Issue 1 https://doi.org/10.1103/PhysRevLett.123.016804	journal	July 2019
All Magic Angles in Twisted Bilayer Graphene are Topological Song, Zhida; Wang, Zhijun; Shi, Wujun Physical Review Letters, Vol. 123, Issue 3 https://doi.org/10.1103/PhysRevLett.123.036401	journal	July 2019
Quantum Anomalous Parity Hall Effect in Magnetically Disordered Topological Insulator Films Haim, Arbel; Ilan, Roni; Alicea, Jason Physical Review Letters, Vol. 123, Issue 4 https://doi.org/10.1103/PhysRevLett.123.046801	journal	July 2019
Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene Wu, Fengcheng; Das Sarma, Sankar Physical Review Letters, Vol. 124, Issue 4 https://doi.org/10.1103/PhysRevLett.124.046403	journal	January 2020
Nature of the Correlated Insulator States in Twisted Bilayer Graphene Xie, Ming; MacDonald, A. H. Physical Review Letters, Vol. 124, Issue 9 https://doi.org/10.1103/PhysRevLett.124.097601	journal	March 2020
Quantum Anomalous Hall Effects in Graphene from Proximity-Induced Uniform and Staggered Spin-Orbit and Exchange Coupling Högl, Petra; Frank, Tobias; Zollner, Klaus Physical Review Letters, Vol. 124, Issue 13 https://doi.org/10.1103/PhysRevLett.124.136403	journal	March 2020
Möbius Insulator and Higher-Order Topology in MnBi 2 n Te 3 n + 1 Zhang, Rui-Xing; Wu, Fengcheng; Das Sarma, S. Physical Review Letters, Vol. 124, Issue 13 https://doi.org/10.1103/PhysRevLett.124.136407	journal	April 2020
Mechanism for Anomalous Hall Ferromagnetism in Twisted Bilayer Graphene Bultinck, Nick; Chatterjee, Shubhayu; Zaletel, Michael P. Physical Review Letters, Vol. 124, Issue 16 https://doi.org/10.1103/PhysRevLett.124.166601	journal	April 2020
Robust A -Type Order and Spin-Flop Transition on the Surface of the Antiferromagnetic Topological Insulator MnBi 2 Te 4 Sass, Paul M.; Kim, Jinwoong; Vanderbilt, David Physical Review Letters, Vol. 125, Issue 3 https://doi.org/10.1103/PhysRevLett.125.037201	journal	July 2020
Coexistence of Surface Ferromagnetism and a Gapless Topological State in MnBi 2 Te 4 Nevola, D.; Li, H. X.; Yan, J. -Q. Physical Review Letters, Vol. 125, Issue 11 https://doi.org/10.1103/PhysRevLett.125.117205	journal	September 2020
Demonstration of Dissipative Quasihelical Edge Transport in Quantum Anomalous Hall Insulators Wang, Shu-Wei; Xiao, Di; Dou, Ziwei Physical Review Letters, Vol. 125, Issue 12 https://doi.org/10.1103/PhysRevLett.125.126801	journal	September 2020
Voltage-Controlled Magnetic Reversal in Orbital Chern Insulators Zhu, Jihang; Su, Jung-Jung; MacDonald, A. H. Physical Review Letters, Vol. 125, Issue 22 https://doi.org/10.1103/PhysRevLett.125.227702	journal	November 2020
Spin Fluctuations in Quantized Transport of Magnetic Topological Insulators Li, Yu-Hang; Cheng, Ran Physical Review Letters, Vol. 126, Issue 2 https://doi.org/10.1103/PhysRevLett.126.026601	journal	January 2021
Exciton Band Topology in Spontaneous Quantum Anomalous Hall Insulators: Applications to Twisted Bilayer Graphene Kwan, Yves H.; Hu, Yichen; Simon, Steven H. Physical Review Letters, Vol. 126, Issue 13 https://doi.org/10.1103/PhysRevLett.126.137601	journal	March 2021
Critical Behavior and Universal Signature of an Axion Insulator State Li, Hailong; Jiang, Hua; Chen, Chui-Zhen Physical Review Letters, Vol. 126, Issue 15 https://doi.org/10.1103/PhysRevLett.126.156601	journal	April 2021
Multiple Magnetic Topological Phases in Bulk van der Waals Crystal MnSb 4 Te 7 Huan, Shuchun; Zhang, Shihao; Jiang, Zhicheng Physical Review Letters, Vol. 126, Issue 24 https://doi.org/10.1103/PhysRevLett.126.246601	journal	June 2021
Delocalization Transition of a Disordered Axion Insulator Song, Zhi-Da; Lian, Biao; Queiroz, Raquel Physical Review Letters, Vol. 127, Issue 1 https://doi.org/10.1103/PhysRevLett.127.016602	journal	June 2021
Coexistence of Quantum Hall and Quantum Anomalous Hall Phases in Disordered MnBi 2 Te 4 Li, Hailong; Chen, Chui-Zhen; Jiang, Hua Physical Review Letters, Vol. 127, Issue 23 https://doi.org/10.1103/PhysRevLett.127.236402	journal	December 2021
Valley-Polarized Quantum Anomalous Hall State in Moiré MoTe 2 / WSe 2 Heterobilayers Xie, Ying-Ming; Zhang, Cheng-Ping; Hu, Jin-Xin Physical Review Letters, Vol. 128, Issue 2 https://doi.org/10.1103/PhysRevLett.128.026402	journal	January 2022
Zero Magnetic Field Plateau Phase Transition in Higher Chern Number Quantum Anomalous Hall Insulators Zhao, Yi-Fan; Zhang, Ruoxi; Zhou, Ling-Jie Physical Review Letters, Vol. 128, Issue 21 https://doi.org/10.1103/PhysRevLett.128.216801	journal	May 2022
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