Effective-Mass Theory of Carbon Nanotubes with Vacancy

Abstract

Effects of impurities with a strong and short-range potential are studied in carbon nanotubes within a k · p scheme. The calculated conductance approaches those obtained for nanotubes with a lattice vacancy when the strength of the potential is sufficiently large. The conductance at ε=0 is analytically shown to be quantized into zero, one, and two times of the conductance quantum \(e^2/\pi\hbar\) depending on the difference in the number of vacancies at A and B sublattices in nanotubes with a sufficiently large diameter.