Conductance of Carbon Nanotubes with a Vacancy

The conductance of carbon nanotubes with a vacancy is studied in a tight-binding model. We examine the Fermi energy ε dependence of the conductance and show it is quantized into zero, one, and two times the conductance quantum \(e^{2}/\pi\hbar\) depending on the type of vacancy in the half-filled case, i.e., ε= 0. In the presence of a magnetic field, the conductance is scaled by the component of the magnetic field in the direction of the vacancy.