Zero modes on zero-angle grain boundaries in graphene
Zero modes on zero-angle grain boundaries in graphene
复制标题
DOI：
10.1103/physrevb.91.125404
复制
发表时间：
2014-10
影响因子：
3.7
通讯作者：
Madeleine Phillips;E. Mele
中科院分区：
文献类型：
--
作者：
Madeleine Phillips;E. Mele
使用拓扑能带理论论证来分析单层石墨烯中限制于零角晶界的电子态。我们确定了隐藏的手性对称性，它支持投影体间隙中的对称保护零模式。这些分支占据界面投影布里渊区的有限部分，并终止于体间隙闭合处，表现出在界面处连接的体系统的占用流形中的拓扑转变。这些特征是通过紧束缚晶格的数值计算和体基态的几何相分析来研究的。
Electronic states confined to zero angle grain boundaries in single layer graphene are analyzed using topological band theoretic arguments. We identify a hidden chiral symmetry which supports symmetry protected zero modes in projected bulk gaps. These branches occupy a finite fraction of the interface-projected Brillouin zone and terminate at bulk gap closures, manifesting topological transitions in the occupied manifolds of the bulk systems that are joined at an interface. These features are studied by numerical calculations on a tight binding lattice and by analysis of the geometric phases of the bulk ground states.