Hybrid Wannier Chern bands in magic angle twisted bilayer graphene and the quantized anomalous Hall effect

  title={Hybrid Wannier Chern bands in magic angle twisted bilayer graphene and the quantized anomalous Hall effect},
  author={Kasra Hejazi and Xiao Chen and Leon Balents},
  journal={arXiv: Mesoscale and Nanoscale Physics},
We propose a method for studying the strong interaction regimes in twisted bilayer graphene using hybrid Wannier functions, that are Wannier-like in one direction and Bloch-like in the other. We focus on the active bands as given by the continuum model proposed by Bistritzer and MacDonald, and discuss the properties of corresponding hybrid Wannier functions. We then employ the method for a study of the fillings of $\pm 3$ electrons per moire cell using the Hartree-Fock method. We discuss at… 

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