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arXiv 1104.0147cond-mat.mes-hall
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任意几何形状石墨烯纳米带的边缘态和平带

Edge states and flat bands in graphene nanoribbons with arbitrary geometries

W. Jaskolski, A. Ayuela, M. Pelc, H. Santos, L. Chico

摘要:

我们规定的一般规则来预测存在的边缘状态和零能量平坦带的石墨烯纳米带和石墨烯边缘的任意形状。不需要计算。对于所谓的{ \it{minimal} }边缘,边缘平移矢量到石墨烯的Z字形方向的投影唯一地确定边缘带。通过在极小边上增加额外的节点,可以得到任意修改的边。通过应用额外原子与属于原始边缘的原子的杂化规则,可以发现改性石墨烯边缘的边缘带。我们的处方正确地预测了在一个石墨烯亚晶格的零能带的本地化和简并,紧束缚和第一原理计算证实。它还允许我们定性地预测出现在某些边缘和纳米带的能隙中的$E\ne 0$带的存在。

英文摘要:

We prescribe general rules to predict the existence of edge states and zero-energy flat bands in graphene nanoribbons and graphene edges of arbitrary shape. No calculations are needed. For the so-called {\it{minimal}} edges, the projection of the edge translation vector into the zigzag direction of graphene uniquely determines the edge bands. By adding extra nodes to minimal edges, arbitrary modified edges can be obtained. The edge bands of modified graphene edges can be found by applying hybridization rules of the extra atoms with the ones belonging to the original edge. Our prescription correctly predicts the localization and degeneracy of the zero-energy bands at one of the graphene sublattices, confirmed by tight-binding and first-principle calculations. It also allows us to qualitatively predict the existence of $E\ne 0$ bands appearing in the energy gap of certain edges and nanoribbons.

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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