Acta Physica Sinica, Volume. 69, Issue 14, 147301-1(2020)

Topological properties and orbital magnetism in twisted graphene systems

Jian-Peng Liu1,2、* and Xi Dai2、*
Author Affiliations
  • 1School of Physical Science and Technology, Shanghai Tech University, Shanghai 201210, China
  • 2Department of Physics, Hong Kong University of Science and Technology, Hong Kong, China
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    Figures & Tables(6)
    (a) Schematic illustration of the moiré pattern in twisted bilayer graphene, the inserted shows the wrinkles of the graphene for different layer distances; (b) schematic illustration of twisted double bilayer graphene system; (c) moiré Brillouin zone of twisted graphene systems.
    (a) Band structures of twisted bilayer graphene at the magic angle; (b)Wilson loops of the two flat bands from the K valley of twisted bilayer graphene (in ).
    (a) Band structures of twisted double bilayer graphene at ; (b) the Chern number of the first conduction band for the K valley of AB-AB stacked twist-ed double bilayer graphene vs. the twist angle and vertical potential drop .
    Real-space current-density distribution contributed by the flat bands of magic-angle twisted bilayer graphene: (a) K valley, ; (b) valley, ; (c) K valley, ; (d) valley, . The black arrows indicate the dire-ctions of the current density, and the color coding indicates the magnetic field induced by the current in unites of Tesla.
    (a) The orbital magnetization contributed by the flat bands of the K valley of twisted bilayer graphene at the magic angle; (b) the orbital magnetization contributed by the flat bands of K valley for twisted double bilayer graphene at .
    • Table 1.

      Magic angles derived from the pseudo Landau-level picture.

      由赝朗道能级图像推算出的魔角

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      Table 1.

      Magic angles derived from the pseudo Landau-level picture.

      由赝朗道能级图像推算出的魔角

      n12345
      文献[4] 1.05°0.50°0.35°0.24°0.20°
      (7)式 1.05°0.52°0.35°0.26°0.21°
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    Jian-Peng Liu, Xi Dai. Topological properties and orbital magnetism in twisted graphene systems[J]. Acta Physica Sinica, 2020, 69(14): 147301-1

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    Paper Information

    Received: Apr. 7, 2020

    Accepted: --

    Published Online: Dec. 28, 2020

    The Author Email: Dai Xi (daix@ust.hk)

    DOI:10.7498/aps.69.20200506

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