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Electronic states in boron-nitride and boron-carbon-nitride nanoribbons withzigzag edges are studied using the extended Hubbard model with nearest neighborCoulomb interactions. The charge and spin polarized states are considered, andthe phase diagram between two states is obtained. Next, the electriccapacitance is calculated in order to examine the nano-functionalities of thesystem. Due to the presence of the strong site energies, the charge polarizedstate overcomes the spin polarized states, giving the large difference of thephase diagram in comparison with that of graphite system. The electronicstructures are always like of semiconductors. The capacitance calculated forthe charge polarized state with the realistic values of the Coulombinteractions is inversely proportional to the ribbon width, owing to thepresence of the charge excitation energy gap.Comment: 11 pages; 7 figure

Possible Charge-Ordered States in Boron–Nitride and Boron–Carbon–Nitride Nanotubes and Nanoribbons