Electron Gas Hardness of Individual Carbon Nanotubes

Experimental results show that there are uninterpreted physical phenomena in the resistivity behavior of carbon nanotubes (CNT) in terms of their diameter changes. In this paper, a model based on previously published empirical data is created. This model is used later to analysis the effect of repulsion on electron transport throughout CNT. The relationship between the resistivity and the diameter of CNT, with an introduced parameter named 'electron gas hardness' has theoretically investigated. The results show an acceptable theoretical model for the behavior of electrical resistivity to reduce the diameter of nanotubes and is predicted by physico-mathematical calculations. Furthermore, a detailed analysis of the temperature effects on the transport properties in CNT and how compare to electron-phonon interactions that have been shown to affect resistivity and a theoretical model of electrical resistivity to changes of two important parameters of diameter and temperature of carbon nanotubes, physical formulation and modeling is presented.These results are consistent with the experimental results and are generalized.