Abstract: A transmission line (TL) model of a carbon nanotube (CNT) is analyzed through the Boltzmann transport equation (BTE). With the help of a numerical solution of the BTE, we study the kinetic inductance (L_K), quantum capacitance (C_Q) and resistivity (R_S) of a CNT under a high frequency electric field. Values of L_K and C_Q obtained from BTE accord with the theoretical values, and the TL model is verified by transport theory for the first time. Moreover, our results show that the AC resistivity of CNTs deviates from DC, increasing along with shorter electric field wave length. This shows that changes in R_S in the high frequency condition must be considered in the TL model.

Key words: carbon nanotube