On the optical properties of carbon nanotubes. I: A general formula for the dynamical optical conductivity (Q2795534)

Numerical simulations of optical properties of single-walled carbon nanotubes modeled by circular cylinders of small diameters on surfaces of which the conduction electron gas is confined by the electric field generated by the fixed carbon ions are drawn. Additionally to the pair-interaction potential considered as the 3D Coulomb potential restricted to the cylinder, a 1D effective many-body Hamiltonian is introduced in the model to reflect the quasi-1D structure. This is the starting-point of modeling and numerical simulations are realized. To investigate the optical properties, a perturbation by a uniform time-dependent electric field modeling an incident light beam along the longitudinal direction is taken into consideration. As a result, the sharp peaks observed in the optical absorption spectrum of single-walled carbon nanotubes can also be taken into account.