Analytical study of electronic quantum transport in carbon-based nanomaterials

•We introduce a new method to study of transport properties of carbon-based nanomaterials.•Our method reduces the calculation time.•We apply our approach to study the electron transport in partially unzipped carbon nanotubes.

We introduce a new method based on the tight-binding model and mode space (MS) renormalization approach to the study of quantum transport properties of carbon-based nanomaterials (CBNs) such as carbon nanotubes (CNTs), graphene nanoribbons (GNRs), superlattice structures and conducting polymers. The calculations are based on the Green's function method, in which the electrical conductance, density of states (DOS) and localization length of the systems are calculated, analytically. Our model and simple formulas are useful to study the impact of slice-like defects, to distinguish different regimes and reduce the computation time. The efficiency of our method in reducing the CPU time is tested in electrical conductance, where the computation time is reduced by up to a factor of 40 depending on the parameters of the problem. We demonstrate the power of this approach by studying the electronic transport in partially unzipped carbon nanotubes (UCNTs).