论文标题
旋转双层石墨烯模型中的魔术角数学
Mathematics of magic angles in a model of twisted bilayer graphene
论文作者
论文摘要
我们提供了Tarnopolsky最近的物理评论信 - Kruchkov-Vishwanath的数学说明。新的贡献是魔术角的光谱表征，其准确的数值实现以及随着角度降低的所有频段的挤压估计值。由于模型中出现的运算符非官员性质引起的伪谱现象在我们的分析中起着至关重要的作用。
We provide a mathematical account of the recent Physical Reviews Letter by Tarnopolsky--Kruchkov--Vishwanath. The new contributions are a spectral characterization of magic angles, its accurate numerical implementation and an exponential estimate on the squeezing of all bands as the angle decreases. Pseudospectral phenomena due to the non-hermitian nature of operators appearing in the model play a crucial role in our analysis.
