Theoretical Investigation on Transportance for Single-Walled Nanotubes, and Bi-Layer Graphene

The transport properties of several carbon nanoparticle derivatives, including single-layer nanotubes and bi-layer graphene, under an external constant electric field, are investigated.Results were analyzed and identified as a function of the quasi-classical approximation of relaxation time by using the Boltzmann kinetic equations.These approaches have been used to obtain the relationships between the electric conductivity σ(E) and electrons diffusion coefficient D(E) in carbon nanostructures.This study proves that when the temperature rises the electrical conductivity σ(E) decreases for both single-layer and bi-layer carbon nanostructures.For a wide range of temperatures, the electrical conductivity σ(E) behavior of the studied nanoparticles is nonlinearly dependent on the magnitude of the external electric field (E).In contrast, the electron diffusion coefficient D(E) is independent of temperature for both single-and bi-layers.It also shows that the intensity of an external electric field possesses a nonlinear influence on the electron diffusion coefficient.