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In this article, we conduct comparative studies on the optical properties ofmetallic carbon nanotubes. Firstly, we compare the complex dielectric constantpredicted by an analytical model, the Linear Surface Conductivity Model, with\textit{ab initio} calculations based on Density Functional Theory. Wehighlight the similarities and differences between these two models, with themajor discrepancy being a significantly different behavior of the plasmafrequency with respect to the carbon nanotube diameter. In the second step, wecompare the predictions of these models with experimental measurements of thedielectric function. We demonstrate that the screened plasma frequency servesas a reliable quantifier for distinguishing between the two models. Inconclusion, we find that the \textit{ab initio} calculations more accuratelydescribe the optical properties of metallic carbon nanotubes compared to thecommonly used Linear Surface Conductivity Model.

cornell university

Insights into the need for ab-initio calculations to accurately predict  the optical properties of metallic carbon nanotubes based on experimental  confrontation