One-dimensional Hubbard-Luttinger model for carbon nanotubes
arXiv:1410.6760 · doi:10.1088/0031-8949/90/7/074043
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.
References in corpus (7)
- Luttinger Liquid Behavior in Carbon Nanotubes
- The one-dimensional Hubbard model: A reminiscence
- Correlated transport and non-Fermi liquid behavior in single-wall carbon nanotubes
- Tomonaga-Luttinger Liquid Features in Ballistic Single-Walled Carbon Nanotubes: Conductance and Shot Noise
- Zero-bias anomaly in disordered wires
- Universality of one-dimensional Fermi systems, II. The Luttinger liquid structure
- Electronic spectrum and tunnelling properties of multi-wall carbon nanotubes