The Influence of Substrate in Determining the Band Gap of Metallic Carbon Nanotubes

Abstract

We report a detailed comparison of ultraclean suspended and on-substrate carbon nanotubes (CNTs) in order to quantify the effect of the substrate interaction on the effective band gap of metallic nanotubes. Here, individual CNTs are grown across two sets of electrodes, resulting in one segment of the nanotube that is suspended across a trench and the other segment supported on the substrate. The suspended segment shows a significant change in the conductance (ΔG/G = 0.84) with applied gate voltage, which is attributed to a small band gap. The on-substrate segment, however, only shows a change in the measured conductance of ΔG/G = 0.11. A Landauer model is used to fit the low bias conductance of these devices. From these fits, the band gaps in the suspended region range from 75 to 100 meV but are only 5-14.3 meV when the nanotube is in contact with the substrate. The decreased band gap is attributed to localized doping caused by trapped charges in the substrate that result in inhomogeneous broadening of the Fermi energy, which in turn limits the ability to modulate the conductance.