Analysis of quantum conductance of carbon nanotube junctions by the effective mass approximation

Abstract

The electron transport through the nanotube junctions which connect the different metallic nanotubes by a pair of a pentagonal defect and a heptagonal defect is investigated by Landauer's formula and the effective mass approximation. From our previous calculations based on the tight binding model, it has been known that the conductance is determined almost only by two parameters,i.e., the energy in the unit of the onset energy of more than two channels and the ratio of the radii of the two nanotubes. The conductance is calculated again by the effective mass theory in this paper and a simple analytical form of the conductance is obtained considering a special boundary conditions of the envelop wavefunctions. The two scaling parameters appear naturally in this treatment. The results by this formula coincide fairly well with those of the tight binding model. The physical origin of the scaling law is clarified by this approach.

RevTeX

Cited by in corpus (7)

• Contact resistance between carbon nanotubes
• Zero-Conductance Resonances due to Flux States in Nanographite Ribbon Junctions
• Carbon Nanotube Based Magnetic Tunnel Junctions
• Backward diode composed of a metallic and semiconducting nanotube
• Relation between the transmission rates and the wave functions in the carbon nanotube junctions
• Resonant spin current in nanotube double junctions
• Band structures of periodic carbon nanotube junctions and their symmetries analyzed by the effective mass approximation