论文标题
扭曲双层石墨烯中的Bistritzer-Macdonald动力学
Bistritzer-MacDonald dynamics in twisted bilayer graphene
论文作者
论文摘要
在\ cite {Bistritzer2011}中引入的Bistritzer-Macdonald（BM）模型，试图捕获扭曲的双层石墨烯（TBG）的电子性能，即使在不固定的扭转角度，也通过双层Moiré模式的有效周期性模型。从紧密结合模型开始，我们确定了BM模型出现的状态，将BM模型作为模拟的电子模型的有效动力学频谱集中在单层Dirac点上，直到可以严格估计的误差。使用相关物理常数的测量值，我们认为该机制是在第一个“魔术”角以TBG实现的。
The Bistritzer-MacDonald (BM) model, introduced in \cite{Bistritzer2011}, attempts to capture the electronic properties of twisted bilayer graphene (TBG), even at incommensurate twist angles, by an effective periodic model over the bilayer moiré pattern. Starting from a tight-binding model, we identify a regime where the BM model emerges as the effective dynamics for electrons modeled as wave-packets spectrally concentrated at the monolayer Dirac points, up to error that can be rigorously estimated. Using measured values of relevant physical constants, we argue that this regime is realized in TBG at the first "magic" angle.
