Quantum Conductance of Achiral Graphene Ribbons and Carbon Nanotubes

TL;DR

This paper derives explicit band spectrum expressions for achiral graphene ribbons and nanotubes, compares their conductance properties, and provides new insights crucial for graphene nanoelectronic device development.

Contribution

It presents new explicit dispersion relations for achiral graphene structures, differing from previous data, aiding in the evaluation of nanoelectronic device potential.

Findings

Derived explicit band spectra for armchair and zigzag structures

Compared conductance ladders of graphene ribbons and nanotubes

Provided new data differing from previous reports

Abstract

Explicit expressions of the band spectrum near the neutrality point for armchair and zigzag graphene ribbons and carbon nanotubes were derived based on a tight-binding macromolecule model of graphene. The obtained dispersion relations are used to determine and compare the conductance ladders of these structures and are beneficial for many other applications. Our results are different in many respects from previously reported data. This new information forms a solid reliable basis for evaluation of the potential of graphene nanoelectronic devices.