论文标题
AA双层石墨烯量子点的魔法半径
Magic radius of AA bilayer graphene quantum dot
论文作者
论文摘要
我们在分析和数值电子特性上研究了由AA双层石墨烯制成的圆形量子点。我们观察到一组离散的DOT半径，低能电子状态相对于层平等而言是退化的。通过类似于扭曲的双层石墨烯中的``魔法角度''，我们将这些半径称为``魔术''。这样的功能对于AA结构是唯一的，并且与AA石墨烯双层的特定层对称性有关：当AA点的半径等于其魔法值时，最高占用水平的均衡性从层对称到层式抗对称的变化。我们探讨了魔术扭转角度扭曲的双层石墨烯与具有魔术半径的AA量子点之间的电子结构中的类比。我们认为，这种类比有助于对扭曲双层石墨烯的电子特性的理论描述。
We study analytically and numerically electronic properties of a circular quantum dot made from AA bilayer graphene. We observe a discrete set of dot radii for which the low-energy electron states are degenerate with respect to the layer parity. By analogy with the ``magic angles" in the twisted bilayer graphene we refer to these radii as ``magic". Such a feature is unique for the AA structures and is related to a specific layer-symmetry of the AA graphene bilayer: the parity of the highest occupied level changes from layer-symmetric to layer-antisymmetric when the radius of the AA dot is equal to its magic value. We explore an analogy in the electronic structure between twisted bilayer graphene at the magic twist angle and the AA quantum dot with magic radius. We argue that this analogy can be helpful for theoretical description of the electronic properties of the twisted bilayer graphene.
