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

摘要: This paper is the first one in a series of two articles which we revisit optical properties single-walled carbon nanotubes (SWNTs). Produced by rolling up graphene sheet, SWNTs owe their intriguing to cylindrical quasi-one-dimensional (quasi-1D) structure (the ratio length/radius experimentally order 103). We model SWNT circular cylinders small diameters on surface conduction electron gas confined electric field generated fixed ions. The pair-interaction potential considered 3D Coulomb restricted cylinder. To reflect quasi-1D structure, introduce 1D effective many-body Hamiltonian starting-point our analysis. investigate properties, consider perturbation uniform time-dependent modeling an incident light beam along longitudinal direction. By using Kubo’s method, derive within linear response theory asymptotic expansion in...