arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1109.6142cond-mat.mes-hall
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角边结构石墨烯的电子态和局域态密度

Electronic States and Local Density of States in Graphene with a Corner Edge Structure

Yuji Shimomura, Yositake Takane, Katsunori Wakabayashi

摘要:

我们研究了具有角边的半无限石墨烯的电子态,重点研究了零能量下边缘局域态的稳定性。对60°、90°、120°和150°角边进行了检查。60°和120°角边缘由两个锯齿形边缘组成,而90°和150°角边缘由一个锯齿形边缘和一个扶手椅边缘组成。在最近邻紧束缚模型的基础上,利用Haydock的递归方法,数值计算了局域态密度。我们发现,除了120°的情况之外,边缘局域态沿着每个角边缘结构的锯齿形边缘出现。为了深入了解这种行为,我们分析了电子态在零能量的有效质量方程的框架内。该分析的结果与LDOS的行为一致。

英文摘要:

We study electronic states of semi-infinite graphene with a corner edge, focusing on the stability of edge localized states at zero energy. The 60°, 90°, 120° and 150° corner edges are examined. The 60° and 120° corner edges consist of two zigzag edges, while 90° and 150° corner edges consist of one zigzag edge and one armchair edge. We numerically obtain the local density of states (LDOS) on the basis of a nearest-neighbor tight-binding model by using Haydock's recursion method. We show that edge localized states appear along a zigzag edge of each corner edge structure except for the 120° case. To provide insight into this behavior, we analyze electronic states at zero energy within the framework of an effective mass equation. The result of this analysis is consistent with the behavior of the LDOS.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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