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

Bin-Bin Chen, Yuan Da Liao, Ziyu Chen, Oskar Vafek, Jian Kang (), Wei Li () and Zi Yang Meng ()
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Bin-Bin Chen: School of Physics, Beihang University
Yuan Da Liao: Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences
Ziyu Chen: School of Physics, Beihang University
Oskar Vafek: Department of Physics, Florida State University
Jian Kang: School of Physical Science and Technology & Institute for Advanced Study, Soochow University
Wei Li: School of Physics, Beihang University
Zi Yang Meng: Department of Physics and HKU-UCAS Joint Institute of Theoretical and Computational Physics, The University of Hong Kong

Nature Communications, 2021, vol. 12, issue 1, 1-7

Abstract: 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.

Date: 2021
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DOI: 10.1038/s41467-021-25438-1

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