扭曲双层石墨烯的磁响应
Magnetic response of twisted bilayer graphene
AI总结：
本文研究了附加外部磁场下扭曲双层石墨烯的BM模型，提供了强磁场极限下态密度的半经典渐近展开，据此分析了磁振荡与整数量子霍尔效应，并阐明了不同层间隧穿的作用。
摘要：
本文分析了在附加外部磁场下的扭曲双层石墨烯（TBG）的Bistritzer-MacDonald（BM）模型（亦称连续介质模型）。我们提供了在强磁场极限下态密度（DOS）的显式半经典渐近展开。DOS的显式展开使我们能够研究磁响应特性，例如包含Shubnikov-de Haas与de Haas-van Alphen振荡的磁振荡，以及整数量子霍尔效应。特别地，我们阐明了不同类型的层间隧穿（$AA^{\prime}$/$BB^{\prime}$ 与 $AB^{\prime}$/$BA^{\prime}$）在DOS与磁性研究中所起的作用。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
