Quantum Anomalous Hall Crystal at Fractional Filling of Moiré Superlattices

Sheng, D. N.; Reddy, Aidan P.; Abouelkomsan, Ahmed; Bergholtz, Emil J.; Fu, Liang

doi:10.1103/PhysRevLett.133.066601

Title: Quantum Anomalous Hall Crystal at Fractional Filling of Moiré Superlattices

Journal Article · 07 August 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.133.066601 · OSTI ID:2427091

;

We predict the emergence of a state of matter with intertwined ferromagnetism, charge order, and topology in fractionally filled moiré superlattice bands. Remarkably, these exhibit a quantized integer Hall conductance that is different than expected from the filling and Chern number of the band. Microscopic calculations show that this phase is robustly favored at half-filling ( $ν = 1 / 2$ ) at larger twist angles of the twisted semiconductor bilayer $t {MoTe}_{2}$ . Published by the American Physical Society 2024

View Journal Article

Cite

Export

Save

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-06ER46305

OSTI ID:: 2427091

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 6 Vol. 133; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (51)

Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices Dean, C. R.; Wang, L.; Maher, P. Nature, Vol. 497, Issue 7451 https://doi.org/10.1038/nature12186	journal	May 2013
Unconventional superconductivity in magic-angle graphene superlattices Cao, Yuan; Fatemi, Valla; Fang, Shiang Nature, Vol. 556, Issue 7699 https://doi.org/10.1038/nature26160	journal	March 2018
Fractional quantum Hall effect in the absence of Landau levels Sheng, D. N.; Gu, Zheng-Cheng; Sun, Kai Nature Communications, Vol. 2, Issue 1 https://doi.org/10.1038/ncomms1380	journal	July 2011
Magic in twisted transition metal dichalcogenide bilayers Devakul, Trithep; Crépel, Valentin; Zhang, Yang Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-021-27042-9	journal	November 2021
Graphene bilayers with a twist Andrei, Eva Y.; MacDonald, Allan H. Nature Materials, Vol. 19, Issue 12 https://doi.org/10.1038/s41563-020-00840-0	journal	November 2020
Stripe phases in WSe2/WS2 moiré superlattices Jin, Chenhao; Tao, Zui; Li, Tingxin Nature Materials https://doi.org/10.1038/s41563-021-00959-8	journal	March 2021
Semiconductor moiré materials Mak, Kin Fai; Shan, Jie Nature Nanotechnology, Vol. 17, Issue 7 https://doi.org/10.1038/s41565-022-01165-6	journal	July 2022
Topological charge density waves at half-integer filling of a moiré superlattice Polshyn, H.; Zhang, Y.; Kumar, M. A. Nature Physics, Vol. 18, Issue 1 https://doi.org/10.1038/s41567-021-01418-6	journal	December 2021
Imaging two-dimensional generalized Wigner crystals Li, Hongyuan; Li, Shaowei; Regan, Emma C. Nature, Vol. 597, Issue 7878 https://doi.org/10.1038/s41586-021-03874-9	journal	September 2021
Quantum anomalous Hall effect from intertwined moiré bands Li, Tingxin; Jiang, Shengwei; Shen, Bowen Nature, Vol. 600, Issue 7890 https://doi.org/10.1038/s41586-021-04171-1	journal	December 2021
Signatures of fractional quantum anomalous Hall states in twisted MoTe2 Cai, Jiaqi; Anderson, Eric; Wang, Chong Nature, Vol. 622, Issue 7981 https://doi.org/10.1038/s41586-023-06289-w	journal	June 2023
Thermodynamic evidence of fractional Chern insulator in moiré MoTe2 Zeng, Yihang; Xia, Zhengchao; Kang, Kaifei Nature, Vol. 622, Issue 7981 https://doi.org/10.1038/s41586-023-06452-3	journal	July 2023
Observation of fractionally quantized anomalous Hall effect Park, Heonjoon; Cai, Jiaqi; Anderson, Eric Nature, Vol. 622, Issue 7981 https://doi.org/10.1038/s41586-023-06536-0	journal	August 2023
Fractional quantum anomalous Hall effect in multilayer graphene Lu, Zhengguang; Han, Tonghang; Yao, Yuxuan Nature, Vol. 626, Issue 8000 https://doi.org/10.1038/s41586-023-07010-7	journal	February 2024
Topological flat bands in a kagome lattice multiorbital system Okamoto, Satoshi; Mohanta, Narayan; Dagotto, Elbio Communications Physics, Vol. 5, Issue 1 https://doi.org/10.1038/s42005-022-00969-1	journal	August 2022
Maximally localized Wannier functions, interaction models, and fractional quantum anomalous Hall effect in twisted bilayer MoTe ₂ Xu, Cheng; Li, Jiangxu; Xu, Yong Proceedings of the National Academy of Sciences, Vol. 121, Issue 8 https://doi.org/10.1073/pnas.2316749121	journal	February 2024
Interplay of fractional Chern insulator and charge density wave phases in twisted bilayer graphene Wilhelm, Patrick; Lang, Thomas C.; Läuchli, Andreas M. Physical Review B, Vol. 103, Issue 12 https://doi.org/10.1103/PhysRevB.103.125406	journal	March 2021
Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides Crépel, Valentin; Fu, Liang Physical Review B, Vol. 107, Issue 20 https://doi.org/10.1103/PhysRevB.107.L201109	journal	May 2023
Fractional quantum anomalous Hall states in twisted bilayer MoTe2 and WSe2 Reddy, Aidan P.; Alsallom, Faisal; Zhang, Yang Physical Review B, Vol. 108, Issue 8 https://doi.org/10.1103/PhysRevB.108.085117	journal	August 2023
Toward a global phase diagram of the fractional quantum anomalous Hall effect Reddy, Aidan P.; Fu, Liang Physical Review B, Vol. 108, Issue 24 https://doi.org/10.1103/PhysRevB.108.245159	journal	December 2023
Fractional Chern insulators versus nonmagnetic states in twisted bilayer MoTe2 Yu, Jiabin; Herzog-Arbeitman, Jonah; Wang, Minxuan Physical Review B, Vol. 109, Issue 4 https://doi.org/10.1103/PhysRevB.109.045147	journal	January 2024
Intertwined fractional quantum anomalous Hall states and charge density waves Song, Xue-Yang; Jian, Chao-Ming; Fu, Liang Physical Review B, Vol. 109, Issue 11 https://doi.org/10.1103/PhysRevB.109.115116	journal	March 2024
Band mixing in the quantum anomalous Hall regime of twisted semiconductor bilayers Abouelkomsan, Ahmed; Reddy, Aidan P.; Fu, Liang Physical Review B, Vol. 109, Issue 12 https://doi.org/10.1103/PhysRevB.109.L121107	journal	March 2024
Cooperative ring exchange and the fractional quantum Hall effect Kivelson, Steven; Kallin, C.; Arovas, Daniel P. Physical Review B, Vol. 36, Issue 3 https://doi.org/10.1103/PhysRevB.36.1620	journal	July 1987
‘‘Hall crystal’’ versus Wigner crystal Tešanović, Zlatko; Axel, Françoise; Halperin, B. I. Physical Review B, Vol. 39, Issue 12 https://doi.org/10.1103/PhysRevB.39.8525	journal	April 1989
Fractional quantum Hall effect in a periodic potential Kol, A.; Read, N. Physical Review B, Vol. 48, Issue 12 https://doi.org/10.1103/PhysRevB.48.8890	journal	September 1993
Symmetry breaking and the fermionic fractional Chern insulator in topologically trivial bands Kourtis, Stefanos Physical Review B, Vol. 97, Issue 8 https://doi.org/10.1103/PhysRevB.97.085108	journal	February 2018
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
Combined Topological and Landau Order from Strong Correlations in Chern Bands Kourtis, Stefanos; Daghofer, Maria Physical Review Letters, Vol. 113, Issue 21 https://doi.org/10.1103/PhysRevLett.113.216404	journal	November 2014
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
Particle-Hole Duality, Emergent Fermi Liquids, and Fractional Chern Insulators in Moiré Flatbands Abouelkomsan, Ahmed; Liu, Zhao; Bergholtz, Emil J. Physical Review Letters, Vol. 124, Issue 10 https://doi.org/10.1103/PhysRevLett.124.106803	journal	March 2020
Topological Phases in AB-Stacked MoTe2/WSe2 : Z2 Topological Insulators, Chern Insulators, and Topological Charge Density Waves Pan, Haining; Xie, Ming; Wu, Fengcheng Physical Review Letters, Vol. 129, Issue 5 https://doi.org/10.1103/PhysRevLett.129.056804	journal	July 2022
Zero-Field Composite Fermi Liquid in Twisted Semiconductor Bilayers Goldman, Hart; Reddy, Aidan P.; Paul, Nisarga Physical Review Letters, Vol. 131, Issue 13 https://doi.org/10.1103/PhysRevLett.131.136501	journal	September 2023
Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe2 Dong, Junkai; Wang, Jie; Ledwith, Patrick J. Physical Review Letters, Vol. 131, Issue 13 https://doi.org/10.1103/PhysRevLett.131.136502	journal	September 2023
Fractional Chern Insulator in Twisted Bilayer MoTe2 Wang, Chong; Zhang, Xiao-Wei; Liu, Xiaoyu Physical Review Letters, Vol. 132, Issue 3 https://doi.org/10.1103/PhysRevLett.132.036501	journal	January 2024
Magic Angles and Fractional Chern Insulators in Twisted Homobilayer Transition Metal Dichalcogenides Morales-Durán, Nicolás; Wei, Nemin; Shi, Jingtian Physical Review Letters, Vol. 132, Issue 9 https://doi.org/10.1103/PhysRevLett.132.096602	journal	March 2024
Cooperative ring exchange theory of the fractional quantized Hall effect Kivelson, Steven; Kallin, C.; Arovas, Daniel P. Physical Review Letters, Vol. 56, Issue 8 https://doi.org/10.1103/PhysRevLett.56.873	journal	February 1986
Compatibility of Crystalline Order and the Quantized Hall Effect Halperin, B. I.; Tešanović, Z.; Axel, F. Physical Review Letters, Vol. 57, Issue 7 https://doi.org/10.1103/PhysRevLett.57.922	journal	August 1986
Hall Crystal States atν=2and Moderate Landau Level Mixing Murthy, Ganpathy Physical Review Letters, Vol. 85, Issue 9 https://doi.org/10.1103/PhysRevLett.85.1954	journal	August 2000
Disorder-Driven Collapse of the Mobility Gap and Transition to an Insulator in the Fractional Quantum Hall Effect Sheng, D. N.; Wan, Xin; Rezayi, E. H. Physical Review Letters, Vol. 90, Issue 25 https://doi.org/10.1103/PhysRevLett.90.256802	journal	June 2003
Chern bands of twisted bilayer graphene: Fractional Chern insulators and spin phase transition Repellin, Cécile; Senthil, T. Physical Review Research, Vol. 2, Issue 2 https://doi.org/10.1103/PhysRevResearch.2.023238	journal	May 2020
Spontaneous fractional Chern insulators in transition metal dichalcogenide moiré superlattices Li, Heqiu; Kumar, Umesh; Sun, Kai Physical Review Research, Vol. 3, Issue 3 https://doi.org/10.1103/PhysRevResearch.3.L032070	journal	September 2021
Fractional Chern Insulator Regnault, N.; Bernevig, B. Andrei Physical Review X, Vol. 1, Issue 2 https://doi.org/10.1103/PhysRevX.1.021014	journal	December 2011
Observation of Integer and Fractional Quantum Anomalous Hall Effects in Twisted Bilayer MoTe2 Xu, Fan; Sun, Zheng; Jia, Tongtong Physical Review X, Vol. 13, Issue 3 https://doi.org/10.1103/PhysRevX.13.031037	journal	September 2023
Interaction-Driven Topological Phase Diagram of Twisted Bilayer MoTe2 Qiu, Wen-Xuan; Li, Bohao; Luo, Xun-Jiang Physical Review X, Vol. 13, Issue 4 https://doi.org/10.1103/PhysRevX.13.041026	journal	November 2023
Observation of fractional Chern insulators in a van der Waals heterostructure Spanton, Eric M.; Zibrov, Alexander A.; Zhou, Haoxin Science, Vol. 360, Issue 6384 https://doi.org/10.1126/science.aan8458	journal	March 2018
Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene Sharpe, Aaron L.; Fox, Eli J.; Barnard, Arthur W. Science, Vol. 365, Issue 6453 https://doi.org/10.1126/science.aaw3780	journal	July 2019
Intrinsic quantized anomalous Hall effect in a moiré heterostructure Serlin, M.; Tschirhart, C. L.; Polshyn, H. Science, Vol. 367, Issue 6480 https://doi.org/10.1126/science.aay5533	journal	December 2019
Programming correlated magnetic states with gate-controlled moiré geometry Anderson, Eric; Fan, Feng-Ren; Cai, Jiaqi Science, Vol. 381, Issue 6655 https://doi.org/10.1126/science.adg4268	journal	July 2023
Mapping twist-tuned multiband topology in bilayer WSe ₂ Foutty, Benjamin A.; Kometter, Carlos R.; Devakul, Trithep Science, Vol. 384, Issue 6693 https://doi.org/10.1126/science.adi4728	journal	April 2024
Non-coplanar magnetism, topological density wave order and emergent symmetry at half-integer filling of moiré Chern bands Wilhelm, Patrick; Lang, Thomas; Scheurer, Mathias SciPost Physics, Vol. 14, Issue 3 https://doi.org/10.21468/SciPostPhys.14.3.040	journal	March 2023

Similar Records

Chern Insulators at Integer and Fractional Filling in Moiré Pentalayer Graphene

Journal Article · 2025 · Physical Review. X · OSTI ID:2524605

Waters, Dacen; Okounkova, Anna; Su, Ruiheng; +8 more

Multiferroicity and Topology in Twisted Transition Metal Dichalcogenides

Journal Article · 2024 · Physical Review Letters · OSTI ID:2396988

Abouelkomsan, Ahmed; Bergholtz, Emil J.; Chatterjee, Shubhayu

Single spin asymmetry in forward

p A

collisions from the Pomeron-odderon interference

Journal Article · 2025 · Physical Review. D. · OSTI ID:2566893

Benić, Sanjin; Vivoda, Eric Andreas

Title: Quantum Anomalous Hall Crystal at Fractional Filling of Moiré Superlattices

Citation Formats

References (51)

Similar Records

Related Subjects