We summarize the main features of the effective low-energy theory proposed to describe intrinsic superconductivity in Carbon nanotube ropes. A rope is modelled as an array of ballistic metallic nanotubes, with phonon-mediated plus Coulomb interactions, and Josephson coupling between adjacent tubes. The Ginzburg-Landau action including quantum fluctuations is derived and analyzed. 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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