Zero modes and edge states of the honeycomb lattice
Zero modes and edge states of the honeycomb lattice
复制标题
DOI：
10.1103/physrevb.76.205402
复制
发表时间：
2007-02
影响因子：
3.7
通讯作者：
M. Kohmoto;Y. Hasegawa
中科院分区：
文献类型：
--
作者：
M. Kohmoto;Y. Hasegawa
研究了具有锯齿形边、有须边、锯齿形边和有须边（锯齿形-有须边）以及扶手椅形边的圆柱几何中的蜂窝晶格。紧绑定模型与最近邻跳。除了扶手椅边缘，这些边缘的边缘状态得到解析。然而，它示出，扶手椅边的边缘状态存在时，系统是各向异性的。这些国家以前都不知道。我们还发现了严格局域态、一致扩展态和宏观简并态。
The honeycomb lattice in the cylinder geometry with zigzag edges, bearded edges, zigzag and bearded edges (zigzag-bearded), and armchair edges are studied. The tight-binding model with nearest-neighbor hoppings is used. Edge states are obtained analytically for these edges except the armchair edges. It is shown, however, that edge states for the armchair edges exist when the the system is anisotropic. These states have not been known previously. We also find strictly localized states, uniformly extended states and states with macroscopic degeneracy.