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.