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首页> 外文期刊>Physical review >Spectral footprints of impurity scattering in graphene nanoribbons
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Spectral footprints of impurity scattering in graphene nanoribbons

机译：石墨烯纳米带中杂质散射的光谱足迹

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摘要

We report a detailed investigation of the interplay between size quantization and local scattering centers in graphene nanoribbons, as seen in the local density of states. The spectral signatures, obtained after Fourier transformation of the local density of states, include characteristic peaks that can be related to the transverse modes of the nanoribbon. In armchair ribbons, the Fourier transformed density of states of one of the two inequivalent sublattices takes a form similar to that of a quantum channel in a two-dimensional electron gas, modified according to the differences in band structure. After addition of the second sublattice contribution, a characteristic modulation of the pattern due to superposition is obtained, similar to what has been obtained in spectra due to single impurity scattering in large-area graphene. We present analytic results for the electron propagator in armchair nanoribbons in the Dirac approximation, including a single scattering center within a T-matrix formulation. For comparison, we have extended the investigation with numerics obtained with an atomistic recursive Green's function approach. The spectral signatures of the atomistic approach include the effects of trigonal warping. The impurity induced oscillations in the local density of states are not decaying at large distance in few-mode nanoribbons.
机译：我们报告了对石墨烯纳米带中尺寸量化与局部散射中心之间相互作用的详细研究，如在局部态密度中所见。在状态的局部密度的傅立叶变换之后获得的光谱特征包括可以与纳米带的横向模式有关的特征峰。在扶手椅状带中，两个不等价子晶格之一的状态经傅立叶变换后的密度类似于二维电子气中量子通道的形式，并根据能带结构的不同进行了修改。在添加第二子晶格贡献之后，获得了由于叠加而导致的图案特征调制，类似于由于大面积石墨烯中的单个杂质散射而在光谱中获得的调制。我们提供Dirac近似中扶手椅纳米带中电子传播器的分析结果，其中包括T矩阵公式中的单个散射中心。为了进行比较，我们将研究范围扩展到使用原子递归格林函数方法获得的数值。原子方法的光谱特征包括三角翘曲的影响。在少数模式纳米带中，杂质在局部态密度中引起的振荡不会在远处衰减。

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