论文标题
用于量子图模型中的双层和三层骨堆积石墨烯的狄拉克锥
Dirac cones for bi- and trilayer Bernal-stacked graphene in a quantum graph model
论文作者
论文摘要
单片石墨烯的量子图模型扩展到双层和三层式石墨烯。光谱的特征是，分散关系明确获得；然后证明狄拉克锥仅适用于三层石墨烯，尽管双层具有无间隙的抛物线带分量。我们的模型严格展示了紧密结合计算，有效的二维模型和一个$π$ - 轨道连续模型，这些模型在物理学文献中已经讨论过，这些模型具有最近的邻居隧道。
A quantum graph model for a single sheet of graphene is extended to bilayer and trilayer Bernal-stacked graphene; the spectra are characterized and the dispersion relations explicitly obtained; Dirac cones are then proven to be present only for trilayer graphene, although the bilayer has a gapless parabolic band component. Our model rigorously exhibits basic facts from tight-binding calculations, effective two-dimensional models and a $π$-orbital continuum model with nearest-neighbour tunneling that have been discussed in the physics literature.
