One-dimensional Hubbard-Luttinger model for carbon nanotubes

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 Bogol...

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Bibliographic Details
Published inPhysica scripta Vol. 90; no. 7; pp. 74043 - 6
Main Authors Ishkhanyan, H A, Krainov, V P
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.07.2015
Subjects
Carbon
Contact
Deviation
Electric potential
electron transport
Excitation
Hubbard-Luttinger model
Mathematical models
Nanotubes
single-wall carbon nanotubes
Transformations
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Summary: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.
Bibliography:Royal Swedish Academy of Sciences
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ISSN:0031-8949
1402-4896
1402-4896
DOI:10.1088/0031-8949/90/7/074043