论文标题
扭曲双层石墨烯的磁反应
Magnetic response of twisted bilayer graphene
论文作者
论文摘要
在本文中，我们分析了带有附加外部磁场的扭曲双层石墨烯（TBG）的Bistritzer--Macdonald（BM）模型（也称为连续模型）。我们在强磁场的极限下提供了状态密度（DOS）的明确的半经典渐近膨胀。 DOS的显式扩展使我们能够研究磁反应特性，例如磁振荡，包括Shubnikov-de Haas和De Haas-Van Alphen振荡以及整数量子Hall效应。特别是，我们阐明了不同类型的层间隧道（$ aa^{\ prime} $/$ bb^{\ prime} $ vs. $ ab^{\ prime} $/$ ba^{\ prime} $在DOS和磁性属性中。
In this article, we analyse the Bistritzer--MacDonald (BM) model (also known as the continuum model) of twisted bilayer graphene (TBG) with an additional external magnetic field. We provide an explicit semiclassical asymptotic expansion of the density of states (DOS) in the limit of strong magnetic fields. The explicit expansion of the DOS enables us to study magnetic response properties such as magnetic oscillations which includes Shubnikov-de Haas and de Haas-van Alphen oscillations as well as the integer quantum Hall effect. In particular, we elucidate the role played by different types of interlayer tunnelings ($AA^{\prime}$/$BB^{\prime}$ vs. $AB^{\prime}$/$BA^{\prime}$) in the study of the DOS, and magnetic properties.
