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arXiv 1008.1897cond-mat.mes-hallphysics.optics
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金属性单壁碳纳米管的激子瑞利散射光谱

Excitonic Rayleigh scattering spectra of metallic single-walled carbon nanotubes

Ermin Malic, Janina Maultzsch, Stephanie Reich, Andreas Knorr

摘要:

我们对任意金属单壁碳纳米管的瑞利散射截面进行了微观计算。我们研究的重点在于激子效应及其对瑞利散射光谱特征的影响。我们的方法是基于密度矩阵理论,包括紧束缚能,载流子-光耦合以及载流子-载流子相互作用。由于折射率对散射截面的贡献,我们观察到瑞利光谱中的特征,例如从洛伦兹峰形状的强烈偏离和双峰结构中的较低跃迁$M_{ii}^-$的较大振子强度,与手性角和所研究的纳米管的直径无关。我们观察到激子结合能的范围内的$\unit[60-80]{meV}$的直径为$\unit[1.5-2.5]{nm}$的金属纳米管。激子跃迁与附近连续谱的重叠对峰形有显著影响,而对峰强度比的影响较小。所给出的结果与最近的实验数据吻合得很好。

英文摘要:

We have performed microscopic calculations of the Rayleigh scattering cross section for arbitrary metallic single-walled carbon nanotubes. The focus of our investigations lies on excitonic effects and their influence on the characteristic features in a Rayleigh scattering spectrum. Our approach is based on density matrix theory including tight-binding energies, the carrier-light coupling as well as the carrier-carrier interaction. Due to the refractive index contribution to the scattering cross section, we observe characteristic features in Rayleigh spectra, such as a strong deviation from the Lorentz peak shape and the larger oscillator strength of the lower-lying transition $M_{ii}^-$ in the double-peaked structure, independently of the chiral angle and the diameter of the investigated nanotubes. We observe excitonic binding energies in the range of $\unit[60-80]{meV}$ for metallic nanotubes with diameters of $\unit[1.5-2.5]{nm}$. The overlap of the excitonic transition with the close-by continuum has a significant influence on the peak shape and a minor influence on the peak intensity ratios. The presented results are in good agreement with recent experimental data.

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