One-dimensional Hubbard-Luttinger model for carbon nanotubes
Abstract
A Hubbard-Luttinger model is developed for qualitative description of one-dimensional motion of interacting Pi-conductivity-electrons in carbon single-wall nanotubes at low temperatures. The low-lying excitations in one-dimensional electron gas are described in terms of interacting bosons. The Bogolyubov transformation allows one to describe the system as an ensemble of non-interacting quasi-bosons. Operators of Fermi-excitations and Green functions of fermions are introduced. The electric current is derived as a function of potential difference on the contact between a nanotube and a normal metal. Deviations from Ohm law produced by electron-electron short-range repulsion as well as by the transverse quantization in single-wall nanotubes are discussed. The results are compared with experimental data.
Keywords
Cite
@article{arxiv.1410.6760,
title = {One-dimensional Hubbard-Luttinger model for carbon nanotubes},
author = {H. A. Ishkhanyan and V. P. Krainov},
journal= {arXiv preprint arXiv:1410.6760},
year = {2015}
}