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Non-Abelian Fractional Chern Insulators and Competing States in Flat Moiré Bands

Hui Liu1,*, Zhao Liu2,3,†, and Emil J. Bergholtz1,‡

  • 1Department of Physics, Stockholm University, AlbaNova University Center, 106 91 Stockholm, Sweden
  • 2Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310058, China
  • 3Zhejiang Key Laboratory of Micro-Nano Quantum Chips and Quantum Control, School of Physics, Zhejiang University, Hangzhou 310027, China

  • *Contact author: hui.liu@fysik.su.se
  • †Contact author: zhaol@zju.edu.cn
  • ‡Contact author: emil.bergholtz@fysik.su.se

Correlated topological phases in transition metal dichalcogenide moiré superlattices

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Sci. Sin.-Phys. Mech. Astron. 56 280006 (2026)

Chiral graviton modes in fermionic fractional Chern insulators

Min Long, Zeno Bacciconi, Hongyu Lu, Hernan B Xavier, Zi Yang Meng, and Marcello Dalmonte

Rep. Prog. Phys. 89 078001 (2026)

Topological order without band topology in moiré graphene

Hui Liu, Raul Perea-Causin, Zhao Liu, and Emil J. Bergholtz

Phys. Rev. Research 8 L032039 (2026)

Emergence and Transition of Incompressible Phases in Decorated Landau Levels

Bo Peng, Yuzhu Wang, and Bo Yang

Phys. Rev. Lett. 137 096601 (2026)

Exciton-Anyon Binding in Fractional Chern Insulators: Spectral Fingerprints

Tianhong Lu and Luiz H. Santos

Phys. Rev. Lett. 136 256605 (2026)

Refining heuristic predictors of fractional Chern insulators using machine learning

Oriol Mayné i Comas, André Grossi Fonseca, Sachin Vaidya, and Marin Soljačić

Phys. Rev. B 114 125106 (2026)

Abelian and non-Abelian fractionalized states in twisted MoTe2 : A generalized Landau-level theory

Bohao Li, Yunze Ouyang, and Fengcheng Wu

Phys. Rev. B 113 195129 (2026)

Modeling quantum geometry for fractional Chern insulators with unsupervised learning

Ang-Kun Wu, Louis Primeau, Jingtao Zhang, Kai Sun, Yang Zhang, and Shi-Zeng Lin

npj Comput Mater 12 280 (2026)

Anti-topological crystal and non-Abelian liquid in twisted semiconductor bilayers

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

Nat Commun 17 3814 (2026)

Superconductivity proximate to non-Abelian fractional spin Hall insulator in twisted bilayer MoTe2

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Nat Commun 17 7005 (2026)

Doping lattice non-Abelian quantum Hall states

Zhengyan Darius Shi, Carolyn Zhang, and Senthil Todadri

SciPost Phys. 19 150 (2025)

Exciton fractional Chern insulators in moiré heterostructures

Raul Perea-Causin, Hui Liu, and Emil J. Bergholtz

Phys. Rev. Research 7 L042033 (2025)

Quantum anomalous Hall crystals in moiré bands with higher Chern number

Raul Perea-Causin, Hui Liu, and Emil J. Bergholtz

Nat Commun 16 6875 (2025)

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