Electronic properties of armchair carbon nanotube array

Magnetoelectronic properties of a 2D armchair carbon nanotube array are studied by the tight-binding model. The Lennard–Jones potential is used to determine the optimum geometry. Density of states (DOS), energy band, wave function, and energy gap strongly depend on the intertube interaction, the magnetic flux, and the Zeeman splitting. Band structure is highly anisotropic, and DOS exhibits asymmetric square-root divergences and discontinuous structures. The intertube interaction induces band overlap and thus free electrons and holes. The magnetic flux significantly alters the low energy dispersions and leads to the metal–semiconductor transition. Such transition is seriously suppressed by the Zeeman splitting.