arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1702.02606cond-mat.mes-hall
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石墨烯纳米带的第三近邻参数化紧束缚模型

Third nearest neighbor parameterized tight biding model for graphene nano-ribbons

Van-Truong Tran, Jérôme Saint-Martin, Philippe Dollfus, Sebastian Volz

摘要:

由Reich等人提出的第三近邻紧束缚模型[Phys. Rev. B 66,035412]很好地再现了2D石墨烯片的从头算能带结构。对于带状结构,现有的紧束缚参数组可以成功地解释所有扶手椅型带状结构的半导体行为。然而,他们仍然无法准确地描述带的斜率,而这个特征与电子的群速度和有效质量直接相关。在这项工作中,两个密度泛函理论和紧束缚计算进行,并介绍了一套新的紧束缚参数的第三近邻包括重叠条款。用这个模型得到的结果提供极好的协议与密度泛函理论的预测在大多数情况下的带状结构,即使在高能量区。此外,这套可以诱导电子空穴不对称性,表现在密度泛函理论。相关的结果也证明了扶手椅带的各种宽度,以及锯齿形结构,从而开辟了多尺度模拟的路线。

英文摘要:

The ab initio band structure of 2D graphene sheet is well reproduced by the third nearest neighbor tight binding model proposed by Reich et al [Phys. Rev. B 66, 035412]. For ribbon structures, the existing sets of tight binding parameters can successfully explain semi-conducting behavior of all armchair ribbon structures. However, they are still failing in describing accurately the slope of the bands while this feature is directly associated to the group velocity and the effective mass of electrons. In this work, both density functional theory and tight binding calculations were performed and a new set of tight binding parameters up to the third nearest neighbors including overlap terms is introduced. The results obtained with this model offer excellent agreement with the predictions of the density functional theory in most cases of ribbon structures, even in the high-energy region. Moreover, this set can induce electron-hole asymmetry as manifested in density functional theory. Relevant outcomes are also demonstrated for armchair ribbons of various widths as well as for zigzag structures, thus opening a route for multi-scale simulations.

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