双层转角石墨烯结构的构建方法浅析

A brief analysis of the method for constructing the structures of twisted graphene bilayers

双层转角石墨烯是近几年凝聚态物理领域的前沿研究热点.本文阐述了基于晶体周期性和超胞-原胞变换矩阵构造石墨烯超胞结构的方法,并将其应用于双层转角石墨烯结构的构造,增进学生对晶体结构周期性这一特点的理解,掌握描述复杂晶体结构的数学方法,并了解相关前沿进展.

Twisted graphene bilayer has been a hot topic in condensed matter physics.Here,a method for constructing the geometric structure of graphene supercells is illustrated,which makes use of the translational symmetry of crystal and the transformation matrix between the supercell and the primitive cell.Then,the method is applied to construct the structure of twisted graphene bilayers.This system can be used as an example in the lecture of solid state physics,which is helpful for students to achieve a better understanding of the mathmatic method of describing the geometric structure of crystals.