Hybrid Wannier Chern bands in magic angle twisted bilayer graphene and the quantized anomalous Hall effect
Hybrid Wannier Chern bands in magic angle twisted bilayer graphene and the quantized anomalous Hall effect
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DOI：
10.1103/physrevresearch.3.013242
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发表时间：
2021-03-15
影响因子：
4.2
通讯作者：
Balents, Leon
中科院分区：
文献类型：
--
作者：
Hejazi, Kasra;Chen, Xiao;Balents, Leon
我们提出了一种方法来研究强相互作用机制在扭曲的双层石墨烯使用混合Wannier函数，是Wannier像在一个方向和布洛赫像在其他。我们专注于由Bistritzer和MacDonald提出的连续模型给出的活性带，[Proc. Natl. Acad. Sci. 108，12233（2011）]，并讨论相应的混合Wannier函数的性质。然后，我们采用的方法，使用Hartree-Fock方法的填充的+/-3电子每个莫尔细胞的研究。我们讨论在长度不同的制度下，一个量子化的反常霍尔效应被认为是在这两个填充。
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, [Proc. Natl. Acad. Sci. 108, 12233 (2011)] and discuss the properties of corresponding hybrid Wannier functions. We then employ the method for a study of the fillings of +/- 3 electrons per moire cell using the Hartree-Fock method. We discuss at length different regimes under which a quantized anomalous Hall effect is seen in these two fillings.