Electron transport in armchair single-wall carbon nanotubes

Abstract

The rates of electron scattering via phonons in the armchair single-wall carbon nanotubes were calculated by using the improved scattering theory within the tight-binding approximation. Therefore, the problem connected with the discrepancy of the scattering rates calculated in the framework of the classical scattering theory and ones predicted by experimental data was clarified. Then these results were used for the solving of the kinetic Boltzmann equation to describe electron transport properties of the nanotubes. The equation was solved numerically by using both the finite difference approach and the Monte Carlo simulation procedure.Comment: 10 pages, 4 figures, accepted for publication in Physica E: Low-Dim. Syst. Nanost

Validity of approximations applied in calculations of single-wall metallic carbon nanotube current-voltage characteristics

“…Without loss of generality let us consider such SWMCNTs as (N, N) nanotubes of "armchair" type with a chiral index N ≤ 18 which are on some insulating substrate. The nanotube diameter limitation allows the electric quantum limit for electrons and phonons in the nanotubes to be applied [5][6][7][8][9][10][11][12][13][14][15][16][17] as, in spite of considerable heating of electron and phonon gases in high electric fields [6-12, 14, 18], in principle, only the nearest to the Fermi level electron bands [15,16,19] and the zero angular momentum phonon bands [15,16,20] can be taken into consideration for SWMCNTs with the diameter value equal to 2.44 nm or less [18]. Let us also consider the approximation of an ideal thermal contact between the nanotube and a substrate.…”

“…As an example the backward scattering rates of electrons by the phonons in (15,15) SWACNT are presented in fig. 2 for a case of the nanotube equilibrium (substrate) temperature T = 290 K. Fig.…”

Influence of scattering processes on electron quantum states in nanowires

“…It is known when the quasi-classical one-particle (Hartree-Fock) approximation [9][10][11] is valid to describe the electron transport, the state of one-dimensional electron gas is determined by the Boltzmann transport equation [3,[11][12][13][14] …”

“…However, from the mathematical and computational point of view these methods are more difficult than approaches based on the numerical solution of the Boltzmann equation [3,12,13]. In this connection we consider the electron transport in the framework of approximation of the Boltzmann transport equation.…”

“…For example, in Ref. [3] the model of electron transport in the armchair singlewall carbon nanotubes has been developed. This model is based on the numerical solution of the Boltzmann equation.…”