Propagation of Cooper pairs in carbon nanotubes with superconducting correlations

Propagation of Cooper pairs in carbon nanotubes in the presence of superconducting correlations is studied theoretically. We find that negative and positive currents induced by impurity scatterings between electrons and holes cancel each other, and the nonmagnetic impurity does not hinder the supercurrent in the regions where the superconducting proximity effects occur. The carbon nanotube is a good conductor for Cooper pairs.