Metal-Semiconductor Transition in Armchair Carbon Nanotubes by Symmetry Breaking
Yan Li, Slava V. Rotkin, Umberto Ravaioli
Abstract
The electronic band structure of armchair carbon nanotubes may be considerably modified by potentials with angular dependence. Different angular modes Vq ~ cos(q*theta) have been studied within a tight-binding scheme. Using symmetry arguments, we demonstrate a bandgap opening in these metallic nanotubes when certain selection rules are satisfied for both potential and nanotube structure. We estimate the bandgap opening as a function of both the external potential strength and the nanotube radius and suggest an effective mechanism of metal-semiconductor transition by combination of different forms of perturbations.
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