City Research Online

Effective low-energy theory of superconductivity in carbon nanotube ropes

De Martino, A. and Egger, R. (2004). Effective low-energy theory of superconductivity in carbon nanotube ropes. Physical Review B (PRB), 70, doi: 10.1103/PhysRevB.70.014508

Abstract

We derive and analyze the low-energy theory of superconductivity in carbon nanotube ropes. A rope is modelled as an array of metallic nanotubes, taking into account phonon-mediated as well as Coulomb interactions, and arbitrary Cooper pair hopping amplitudes (Josephson couplings) between different tubes. We use a systematic cumulant expansion to construct the Ginzburg-Landau action including quantum fluctuations. The regime of validity is carefully established, and the effect of phase slips is assessed. Quantum phase slips are shown to cause a depression of the critical temperature Tc below the mean-field value, and a temperature-dependent resistance below Tc. We compare our theoretical results to recent experimental data of Kasumov {\sl et al.} [Phys. Rev. B {\bf 68}, 214521 (2003)] for the sub-$T_c$ resistance, and find good agreement with only one free fit parameter. Ropes of nanotubes therefore represent superconductors in the one-dimensional few-channel limit.

Publication Type: Article
Additional Information: 11 pages, 4 figures
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
Related URLs:
URI: http://openaccess.city.ac.uk/id/eprint/1667
[img]
Preview
PDF
Download (279kB) | Preview

Export

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login