Superconductivity in carbon nanotube ropes: Ginzburg-Landau approach and the role of quantum phase slips
Abstract
We derive and analyze the low-energy theory of superconductivity in carbon nanotube ropes. A rope is modelled as an array of ballistic metallic nanotubes, taking into account phonon-mediated plus Coulomb interactions, and Josephson coupling between adjacent tubes. We construct the Ginzburg-Landau action including quantum fluctuations. 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.
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