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We investigate the electronic properties of semi-metallic (12,0) carbonnanotubes in the presence of a variety of mono-, di- and hexa-vacancy defects,by using first principle DFT combined with non-equilibrium Green's functiontechnique. We show that defect states related to the vacancies hybridize withthe extended states of the nanotubes to modify the band edge, and change theenergy gap, resulting from the curvature effect. As a consequence, the nanotubeconductance is not a monotonic function of the defect size and geometry.Paradoxically, hexa-vacancy nanotubes have higher conductance than di-vacancynanotubes, which is due to the presence of mid-gap states originating from thedefect, thereby enhancing the conductance.

The Interplay between Curvature Effect and Atomic Vacancy Defects in the Electronic Properties of Semi-Metallic Carbon Nanotubes