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Chern mosaic and ideal flat bands in equal-twist trilayer graphene

Daniele Guerci1, Yuncheng Mao2, and Christophe Mora2

  • 1Center for Computational Quantum Physics, Flatiron Institute, New York, New York 10010, USA
  • 2Université Paris Cité, CNRS, Laboratoire Matériaux et Phénomènes Quantiques, 75013 Paris, France

MnBr2 on the Graphene on Ir(110) Substrate: Growth, Structure, and Super‐Moiré

Affan Safeer, Oktay Güleryüz, Nicolae Atodiresei, Wouter Jolie, Thomas Michely, and Jeison Fischer

Small 22 e09471 (2026)

Robustness of Real-Space Topology in Moiré Systems

Kryštof Kolář, Kang Yang, Felix von Oppen, and Christophe Mora

Phys. Rev. X 16 031043 (2026)

In-plane magnetic response and Maki parameter of alternating-twist multilayers

Igor Vasilevskiy, Miguel Sánchez Sánchez, Khadija Challaouy, Dionisios Margetis, Guillermo Gómez-Santos, and Tobias Stauber

Phys. Rev. B 114 105121 (2026)

Electronic band structure of one-dimensional moiré chains

Dmitrii Vorobev, Yiheng Chen, and Grigory M. Tarnopolsky

Phys. Rev. B 113 035154 (2026)

Incommensurate stabilized fractional Chern insulator in alternating twisted trilayer graphene

Moru Song and Kai Chang

Phys. Rev. B 113 L041101 (2026)

Strong correlations and superconductivity in the supermoiré lattice

Zekang Zhou, Cheng Shen, Kryštof Kolář, Kenji Watanabe, Takashi Taniguchi, Cyprian Lewandowski, and Mitali Banerjee

Nat. Phys. 22 225 (2026)

Imaging supermoiré relaxation in helical trilayer graphene

Jesse C. Hoke, Yifan Li, Yuwen Hu, Julian May-Mann, Kenji Watanabe, Takashi Taniguchi, Trithep Devakul, and Benjamin E. Feldman

Nat. Mater. 25 775 (2026)

Coulomb interaction-stabilized isolated narrow bands with Chern numbers $${{\mathcal{C}}} > 1$$ in twisted rhombohedral trilayer-bilayer graphene

Võ Tiến Phong and Cyprian Lewandowski

Nat Commun 17 8792 (2026)

Fractional Chern mosaic in supermoiré graphene

Yves H. Kwan, Tixuan Tan, and Trithep Devakul

Phys. Rev. Research 7 L032070 (2025)

Quantum Anomalous Hall Effects and Emergent SU(2) Hall Ferromagnets at Fractional Filling of Helical Trilayer Graphene

Sen Niu, Jason Alicea, D. N. Sheng, and Yang Peng

Phys. Rev. Lett. 135 146505 (2025)

Chern-textured exciton insulators with valley spiral order in moiré materials

Ziwei Wang, Yves H. Kwan, Glenn Wagner, Steven H. Simon, Nick Bultinck, and S. A. Parameswaran

Phys. Rev. B 112 035130 (2025)

Higher Chern bands in helical homotrilayer transition metal dichalcogenides

Jungho Daniel Choi, Nicolás Morales-Durán, Yves H. Kwan, Andrew J. Millis, Nicolas Regnault, and Daniele Guerci

Phys. Rev. B 112 205122 (2025)

Layer skyrmions for ideal Chern bands in twisted graphene systems

Daniele Guerci, Jie Wang, and Christophe Mora

Phys. Rev. B 112 L041108 (2025)

Moiré amplification of highly tunable shift current response in twisted trilayer graphene

Yuncheng Mao, Claudio Attaccalite, and Diego García Ovalle

Phys. Rev. B 111 195408 (2025)

Chiral limit of twisted trilayer graphene

Simon Becker, Tristan Humbert, Jens Wittsten, and Mengxuan Yang

Nonlinearity 38 055008 (2025)

Topological bands and correlated states in helical trilayer graphene

Li-Qiao Xia, Sergio C. de la Barrera, Aviram Uri, Aaron Sharpe, Yves H. Kwan, Ziyan Zhu, Kenji Watanabe, Takashi Taniguchi, David Goldhaber-Gordon, Liang Fu, Trithep Devakul, and Pablo Jarillo-Herrero

Nat. Phys. 21 239 (2025)

Ideal topological flat bands in chiral symmetric moiré systems from non-holomorphic functions

Siddhartha Sarkar, Xiaohan Wan, Yitong Zhang, and Kai Sun

Nat Commun 16 7062 (2025)

Review: moiré-of-moiré superlattice in twisted trilayer graphene

Wei Ren, Ziyan Zhu, Xi Zhang, Mitchell Luskin, and Ke Wang

J. Phys.: Condens. Matter 37 353001 (2025)

Advanced synthesis and influencing mechanisms of distinctive electrical performance for twisted graphene systems: A layer-oriented review

Dian Song, Jie Li, Kun Liu, Rukai Liu, Yuchen Zhou, and Artem Okulov

Diamond and Related Materials 151 111853 (2025)

Mean-field modeling of moiré materials: a user's guide with selected applications to twisted bilayer graphene

Yves H. Kwan, Ziwei Wang, Glenn Wagner, Nick Bultinck, Steven H. Simon, and Siddharth A. Parameswaran

Advances in Physics 74 11 (2025)

Evolution of superconductivity in twisted graphene multilayers

Min Long, Alejandro Jimeno-Pozo, Héctor Sainz-Cruz, Pierre A. Pantaleón, and Francisco Guinea

Proc. Natl. Acad. Sci. U.S.A. 121 e2405259121 (2024)

Localizing Transitions via Interaction-Induced Flat Bands

Alireza Parhizkar and Victor Galitski

Phys. Rev. Lett. 133 166502 (2024)

Adiabatic approximation and Aharonov-Casher bands in twisted homobilayer transition metal dichalcogenides

Jingtian Shi, Nicolás Morales-Durán, Eslam Khalaf, and A. H. MacDonald

Phys. Rev. B 110 035130 (2024)

Helical trilayer graphene in magnetic field: Chern mosaic and higher Chern number ideal flat bands

Anushree Datta, Daniele Guerci, Mark O. Goerbig, and Christophe Mora

Phys. Rev. B 110 075417 (2024)

Polarization textures in crystal supercells with topological bands

Wojciech J. Jankowski, Daniel Bennett, Aneesh Agarwal, Gaurav Chaudhary, and Robert-Jan Slager

Phys. Rev. B 110 085429 (2024)

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