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arXiv 1807.07263cond-mat.mes-hall
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结构和原子边缘粗糙度下石墨烯带散射的理论研究

Theoretical study of scattering in graphene ribbons in the presence of structural and atomistic edge roughness

Kristof Moors, Antonino Contino, Maarten L. Van de Put, William G. Vandenberghe, Massimo V. Fischetti, Wim Magnus, Bart Sorée

摘要:

我们研究了电荷掺杂的石墨烯带和边缘不完善的纳米带的扩散电子输运性质。我们考虑不同的制度的边缘散射,从宽的石墨烯带(部分)扩散边缘散射带大的宽度变化和纳米带原子边缘粗糙度。对于后者,我们介绍了一种基于赝势的方法,允许原子的治疗的能带结构和散射势,在自洽的解决方案的玻尔兹曼输运方程内的弛豫时间近似,并考虑到边缘粗糙度的属性和统计。所得的电阻率强烈地依赖于带的取向,Z字形(扶手椅)带显示最小(最大)的电阻率和中间带取向表现出中间电阻率值。结果还显示出清晰的电阻率峰值,对应于由于约束诱导的子带量子化的态密度的峰值,除了扶手椅边缘带,其表现出非常强的宽度依赖性,因为它们的claromatic行为。此外,我们确定了一个强大的相互作用之间的相对位置的两个山谷的石墨烯沿运输方向,原子的边缘粗糙度的相关配置文件,和手性谷模式,导致一个特殊的强烈抑制电阻率制度,最明显的锯齿形取向。

英文摘要:

We investigate the diffusive electron-transport properties of charge-doped graphene ribbons and nanoribbons with imperfect edges. We consider different regimes of edge scattering, ranging from wide graphene ribbons with (partially) diffusive edge scattering to ribbons with large width variations and nanoribbons with atomistic edge roughness. For the latter, we introduce an approach based on pseudopotentials, allowing for an atomistic treatment of the band structure and the scattering potential, on the self-consistent solution of the Boltzmann transport equation within the relaxation-time approximation and taking into account the edge-roughness properties and statistics. The resulting resistivity depends strongly on the ribbon orientation, with zigzag (armchair) ribbons showing the smallest (largest) resistivity and intermediate ribbon orientations exhibiting intermediate resistivity values. The results also show clear resistivity peaks, corresponding to peaks in the density of states due to the confinement-induced subband quantization, except for armchair-edge ribbons that show a very strong width dependence because of their claromatic behavior. Furthermore, we identify a strong interplay between the relative position of the two valleys of graphene along the transport direction, the correlation profile of the atomistic edge roughness, and the chiral valley modes, leading to a peculiar strongly suppressed resistivity regime, most pronounced for the zigzag orientation.

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