Skip to Main Content
Fundamental electrostatic properties of achiral carbon nanotubes (CNTs) are derived analytically. These include an exact derivation of the density of states within the nearest neighbor tight-binding formalism, the group velocity, and the effective mass. In addition, the non-degenerate equilibrium carrier density, and quantum capacitance are presented analytically. The quantum capacitance is used to provide a low energy C-V theory for a top-gated CNT device with good correlation to experimental data.