Fractional quantum anomalous Hall effect

Tsui, D. C., Stormer, H. L. & Gossard, A. C. Two-dimensional magnetotransport in the extreme quantum limit. Phys. Rev. Lett. 48, 1559–1562 (1982).

Article 
ADS 
CAS 

Google Scholar 

Neupert, T., Santos, L., Chamon, C. & Mudry, C. Fractional quantum Hall states at zero magnetic field. Phys. Rev. Lett. 106, 236804 (2011).

Article 
ADS 
PubMed 

Google Scholar 

Tang, E., Mei, J. W. & Wen, X. G. High-temperature fractional quantum Hall states. Phys. Rev. Lett. 106, 236802 (2011).

Article 
ADS 
PubMed 

Google Scholar 

Regnault, N. & Bernevig, B. A. Fractional Chern insulator. Phys. Rev. X 1, 021014 (2011).

Google Scholar 

Sheng, D. N., Gu, Z. C., Sun, K. & Sheng, L. Fractional quantum Hall effect in the absence of Landau levels. Nat. Commun. 2, 389 (2011).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Sun, K., Gu, Z., Katsura, H. & Das Sarma, S. Nearly flatbands with nontrivial topology. Phys. Rev. Lett. 106, 236803 (2011).

Article 
ADS 
PubMed 

Google Scholar 

Moore, G. & Read, N. Nonabelions in the fractional quantum hall effect. Nucl. Phys. B 360, 362–396 (1991).

Article 
ADS 
MathSciNet 

Google Scholar 

Wen, X. G. Non-Abelian statistics in the fractional quantum Hall states. Phys. Rev. Lett. 66, 802 (1991).

Article 
ADS 
MathSciNet 
CAS 
PubMed 

Google Scholar 

Nayak, C., Simon, S. H., Stern, A., Freedman, M. & Das Sarma, S. Non-Abelian anyons and topological quantum computation. Rev. Mod. Phys. 80, 1083–1159 (2008).

Article 
ADS 
MathSciNet 
CAS 

Google Scholar 

Cai, J. et al. Signatures of fractional quantum anomalous Hall states in twisted MoTe2. Nature https://doi.org/10.1038/s41586-023-06289-w (2023).

Park, H. et al. Observation of fractionally quantized anomalous Hall effect. Nature https://doi.org/10.1038/S41586-023-06536-0 (2023).

Article 
PubMed 
PubMed Central 

Google Scholar 

Zeng, Y. et al. Thermodynamic evidence of fractional Chern insulator in moiré MoTe2. Nature https://doi.org/10.1038/S41586-023-06452-3 (2023).

Article 
PubMed 
PubMed Central 

Google Scholar 

Xu, F. et al. Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2. Phys. Rev. X 13, 031037 (2023).

CAS 

Google Scholar 

Willett, R. et al. Observation of an even-denominator quantum number in the fractional quantum Hall effect. Phys. Rev. Lett. 59, 1776 (1987).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Jain, J. K. Composite-fermion approach for the fractional quantum Hall effect. Phys. Rev. Lett. 63, 199 (1989).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Halperin, B. I., Lee, P. A. & Read, N. Theory of the half-filled Landau level. Phys. Rev. B 47, 7312 (1993).

Article 
ADS 
CAS 

Google Scholar 

Nakamura, J., Liang, S., Gardner, G. C. & Manfra, M. J. Direct observation of anyonic braiding statistics. Nat. Phys. 16, 931–936 (2020).

Article 
CAS 

Google Scholar 

Bartolomei, H. et al. Fractional statistics in anyon collisions. Science 368, 173–177 (2020).

Article 
ADS 
MathSciNet 
CAS 
PubMed 

Google Scholar 

Kundu, H. K., Biswas, S., Ofek, N., Umansky, V. & Heiblum, M. Anyonic interference and braiding phase in a Mach-Zehnder interferometer. Nat. Phys. 19, 515–521 (2023).

Article 
CAS 

Google Scholar 

Lindner, N. H., Berg, E., Refael, G. & Stern, A. Fractionalizing Majorana fermions: non-Abelian statistics on the edges of abelian quantum Hall states. Phys. Rev. X 2, 041002 (2012).

Google Scholar 

Clarke, D. J., Alicea, J. & Shtengel, K. Exotic non-Abelian anyons from conventional fractional quantum Hall states. Nat. Commun. 4, 1348 (2013).

Article 
ADS 
PubMed 

Google Scholar 

Vaezi, A. Fractional topological superconductor with fractionalized Majorana fermions. Phys. Rev. B Condens. Matter Mater. Phys. 87, 035132 (2013).

Article 
ADS 

Google Scholar 

Haldane, F. D. M. Model for a quantum Hall effect without Landau levels: condensed-matter realization of the ‘parity anomaly’. Phys. Rev. Lett. 61, 2015–2018 (1988).

Article 
ADS 
MathSciNet 
CAS 
PubMed 

Google Scholar 

Chang, C. Z. et al. Experimental observation of the quantum anomalous Hall effect in a magnetic topological insulator. Science 340, 167–170 (2013).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Deng, Y. et al. Quantum anomalous Hall effect in intrinsic magnetic topological insulator. Science 367, 895–900 (2020).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Serlin, M. et al. Intrinsic quantized anomalous Hall effect in a moiré heterostructure. Science 367, 900–903 (2020).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Li, T. et al. Quantum anomalous Hall effect from intertwined moiré bands. Nature 600, 641–646 (2021).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Wu, F., Lovorn, T., Tutuc, E., Martin, I. & Macdonald, A. H. Topological insulators in twisted transition metal dichalcogenide homobilayers. Phys. Rev. Lett. 122, 086402 (2019).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Li, H., Kumar, U., Sun, K. & Lin, S. Z. Spontaneous fractional Chern insulators in transition metal dichalcogenide moiré superlattices. Phys. Rev. Res. 3, L032070 (2021).

Article 
CAS 

Google Scholar 

Devakul, T., Crépel, V., Zhang, Y. & Fu, L. Magic in twisted transition metal dichalcogenide bilayers. Nat. Commun. 12, 6730 (2021).

Yu, H., Chen, M. & Yao, W. Giant magnetic field from moiré induced Berry phase in homobilayer semiconductors. Natl Sci. Rev. 7, 12–20 (2020).

Article 
PubMed 

Google Scholar 

Crépel, V. & Fu, L. Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides. Phys. Rev. B 107, L201109 (2023).

Article 
ADS 

Google Scholar 

Ledwith, P. J., Tarnopolsky, G., Khalaf, E. & Vishwanath, A. Fractional Chern insulator states in twisted bilayer graphene: an analytical approach. Phys Rev Res 2, 023237 (2020).

Article 
CAS 

Google Scholar 

Abouelkomsan, A., Liu, Z. & Bergholtz, E. J. Particle-hole duality, emergent fermi liquids, and fractional Chern insulators in moiré flatbands. Phys. Rev. Lett. 124, 106803 (2020).

Article 
ADS 
MathSciNet 
CAS 
PubMed 

Google Scholar 

Devakul, T. et al. Magic-angle helical trilayer graphene. Sci. Adv. 9, eadi6063 (2023).

Article 
CAS 
PubMed 
PubMed Central 

Google Scholar 

Zhang, Y. H., Mao, D., Cao, Y., Jarillo-Herrero, P. & Senthil, T. Nearly flat Chern bands in moiré superlattices. Phys. Rev. B 99, 075127 (2019).

Article 
ADS 
CAS 

Google Scholar 

Gao, Q., Dong, J., Ledwith, P., Parker, D. & Khalaf, E. Untwisting moiré physics: almost ideal bands and fractional Chern insulators in periodically strained monolayer graphene. Phys. Rev. Lett. 131, 096401 (2023).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Repellin, C. & Senthil, T. Chern bands of twisted bilayer graphene: fractional Chern insulators and spin phase transition. Phys. Rev. Res. 2, 023238 (2020).

Spanton, E. M. et al. Observation of fractional Chern insulators in a van der Waals heterostructure. Science 360, 62–66 (2018).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Xie, Y. et al. Fractional Chern insulators in magic-angle twisted bilayer graphene. Nature 600, 439–443 (2021).

Article 
ADS 
CAS 
PubMed 
PubMed Central 

Google Scholar 

Koshino, M. & McCann, E. Trigonal warping and Berry’s phase Nπ in ABC-stacked multilayer graphene. Phys. Rev. B 80, 165409 (2009).

Article 
ADS 

Google Scholar 

Zhang, F., Jung, J., Fiete, G. A., Niu, Q. & MacDonald, A. H. Spontaneous quantum Hall states in chirally stacked few-layer graphene systems. Phys. Rev. Lett. 106, 156801 (2011).

Article 
ADS 
PubMed 

Google Scholar 

Park, Y., Kim, Y., Chittari, B. L. & Jung, J. Topological flat bands in rhombohedral tetralayer and multilayer graphene on hexagonal boron nitride moire superlattices. Phys. Rev. B. 108, 155406 (2023).

Regan, E. C. et al. Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices. Nature 579, 359–363 (2020).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Xu, Y. et al. Correlated insulating states at fractional fillings of moiré superlattices. Nature 587, 214–218 (2020).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Smoleński, T. et al. Signatures of Wigner crystal of electrons in a monolayer semiconductor. Nature 595, 53–57 (2021).

Article 
ADS 
PubMed 

Google Scholar 

Goldman, H., Reddy, A. P., Paul, N. & Fu, L. Zero-field composite Fermi liquid in twisted semiconductor bilayers. Phys. Rev. Lett. 131, 136501 (2023).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Dong, J., Wang, J., Ledwith, P. J., Vishwanath, A. & Parker, D. E. Composite Fermi liquid at zero magnetic field in twisted MoTe2. Phys. Rev. Lett. 131, 136502 (2023).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Barkeshli, M. & McGreevy, J. Continuous transitions between composite Fermi liquid and Landau Fermi liquid: a route to fractionalized Mott insulators. Phys. Rev. B. Condens. Matter Mater. Phys. 86, 075136 (2012).

Article 
ADS 

Google Scholar 

Song, X.-Y., Zhang, Y.-H. & Senthil, T. Phase transitions out of quantum Hall states in moire TMD bilayers. Preprint at https://arxiv.org/abs/2308.10903 (2023).

Ju, L. et al. Topological valley transport at bilayer graphene domain walls. Nature 520, 650–655 (2015).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Li, H. et al. Electrode-free anodic oxidation nanolithography of low-dimensional materials. Nano Lett. 18, 8011–8015 (2018).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Bao, W. et al. Stacking-dependent band gap and quantum transport in trilayer graphene. Nat. Phys. 7, 948–952 (2011).

Article 
CAS 

Google Scholar 

Zhang, L., Zhang, Y., Camacho, J., Khodas, M. & Zaliznyak, I. The experimental observation of quantum Hall effect of l = 3 chiral quasiparticles in trilayer graphene. Nat. Phys. 7, 953–957 (2011).

Article 
CAS 

Google Scholar 

Zou, K., Zhang, F., Clapp, C., MacDonald, A. H. & Zhu, J. Transport studies of dual-gated ABC and ABA trilayer graphene: band gap opening and band structure tuning in very large perpendicular electric fields. Nano Lett. 13, 369–373 (2013).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Lee, Y. et al. Competition between spontaneous symmetry breaking and single-particle gaps in trilayer graphene. Nat. Commun. 5, 5656 (2014).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Myhro, K. et al. Large tunable intrinsic gap in rhombohedral-stacked tetralayer graphene at half filling. 2D Mater. 5, 045013 (2018).

Article 
CAS 

Google Scholar 

Shi, Y. et al. Electronic phase separation in multilayer rhombohedral graphite. Nature 584, 210–214 (2020).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Zhou, H. et al. Half- and quarter-metals in rhombohedral trilayer graphene. Nature 598, 429–433 (2021).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Zhou, H., Xie, T., Taniguchi, T., Watanabe, K. & Young, A. F. Superconductivity in rhombohedral trilayer graphene. Nature 598, 434–438 (2021).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Han, T. et al. Correlated insulator and Chern insulators in pentalayer rhombohedral stacked graphene. Nat. Nanotechnol. https://doi.org/10.1038/s41565-023-01520-1 (2023).

Han, T. et al. Orbital multiferroicity in pentalayer rhombohedral graphene. Nature 623, 41–47 (2023).

Liu, K. et al. Interaction-driven spontaneous broken-symmetry insulator and metals in ABCA tetralayer graphene. Nat. Nanotechnol. https://doi.org/10.1038/s41565-023-01558-1 (2023).

Chen, G. et al. Evidence of a gate-tunable Mott insulator in a trilayer graphene moiré superlattice. Nat. Phys. 15, 237–241 (2019).

Article 
CAS 

Google Scholar 

Chen, G. et al. Tunable orbital ferromagnetism at noninteger filling of a moiré superlattice. Nano Lett. 22, 238–245 (2022).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Chen, G. et al. Tunable correlated Chern insulator and ferromagnetism in a moiré superlattice. Nature 579, 56–61 (2020).

Article 
ADS 
CAS 
PubMed 

Google Scholar 

Chen, G. et al. Signatures of tunable superconductivity in a trilayer graphene moiré superlattice. Nature 572, 215–219 (2019).

Article 
CAS 
PubMed 

Google Scholar 

Sample, H. H., Bruno, W. J., Sample, S. B. & Sichel, E. K. Reverse‐field reciprocity for conducting specimens in magnetic fields. J. Appl. Phys. 61, 1079–1084 (1987).

Article 
ADS 
CAS 

Google Scholar 

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