Effective Mass Theory of Carbon Nanotubes with Vacancies in Magnetic Fields

Abstract

An effective-mass theory is developed on transport of non-doped carbon nanotubes with local and short-range impurities in the presence of a magnetic field. The conductance is shown to be scaled completely by the field component in the direction of impurities. In a weak-field regime, the conductance strongly depends on strength of potential and the difference in the number of impurities at A and B sublattices Δ N_AB. In a strong-field limit, the conductance is reduced to e²/π\hbar if impurities exist only on A or B sublattices and vanishes in all other cases. These results are intuitively understood by localized charge distribution of the wave function in magnetic fields.