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 A B . In a strong-field limit, the conductance is reduced to \(e^{2}/\pi\hbar\) 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.

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