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Realization of topological Mott insulator in a twisted bilayer graphene lattice model

Author

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  • Bin-Bin Chen

    (School of Physics, Beihang University
    Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics, The University of Hong Kong)

  • Yuan Da Liao

    (Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences
    School of Physical Sciences, University of Chinese Academy of Sciences)

  • Ziyu Chen

    (School of Physics, Beihang University)

  • Oskar Vafek

    (Department of Physics, Florida State University
    National High Magnetic Field Laboratory)

  • Jian Kang

    (School of Physical Science and Technology & Institute for Advanced Study, Soochow University)

  • Wei Li

    (School of Physics, Beihang University
    CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences)

  • Zi Yang Meng

    (Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics, The University of Hong Kong)

Abstract

Magic-angle twisted bilayer graphene has recently become a thriving material platform realizing correlated electron phenomena taking place within its topological flat bands. Several numerical and analytical methods have been applied to understand the correlated phases therein, revealing some similarity with the quantum Hall physics. In this work, we provide a Mott-Hubbard perspective for the TBG system. Employing the large-scale density matrix renormalization group on the lattice model containing the projected Coulomb interactions only, we identify a first-order quantum phase transition between the insulating stripe phase and the quantum anomalous Hall state with the Chern number of ±1. Our results not only shed light on the mechanism of the quantum anomalous Hall state discovered at three-quarters filling, but also provide an example of the topological Mott insulator, i.e., the quantum anomalous Hall state in the strong coupling limit.

Suggested Citation

  • Bin-Bin Chen & Yuan Da Liao & Ziyu Chen & Oskar Vafek & Jian Kang & Wei Li & Zi Yang Meng, 2021. "Realization of topological Mott insulator in a twisted bilayer graphene lattice model," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:12:y:2021:i:1:d:10.1038_s41467-021-25438-1
    DOI: 10.1038/s41467-021-25438-1
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    Cited by:

    1. Keshav Singh & Aaron Chew & Jonah Herzog-Arbeitman & B. Andrei Bernevig & Oskar Vafek, 2024. "Topological heavy fermions in magnetic field," Nature Communications, Nature, vol. 15(1), pages 1-12, December.
    2. Zheng Yan & Zi Yang Meng, 2023. "Unlocking the general relationship between energy and entanglement spectra via the wormhole effect," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    3. Hanyu Wang & Wei Xu & Zeyong Wei & Yiyuan Wang & Zhanshan Wang & Xinbin Cheng & Qinghua Guo & Jinhui Shi & Zhihong Zhu & Biao Yang, 2024. "Twisted photonic Weyl meta-crystals and aperiodic Fermi arc scattering," Nature Communications, Nature, vol. 15(1), pages 1-8, December.

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