K. Yoshii et al., SUPERCONDUCTIVITY AND ELECTRICAL-PROPERTIES IN SINGLE-CRYSTALLINE ULTRATHIN NB FILMS GROWN BY MOLECULAR-BEAM EPITAXY, Physical review. B, Condensed matter, 52(18), 1995, pp. 13570-13575
High-quality superconducting ultrathin Nb films were grown on sapphire
single-crystal substrates by molecular-beam epitaxy, of which thickne
sses ranged from 1.2 to 9.0 nm. They were found to be single crystalli
ne by reflection high-energy electron diffraction. Size effects appear
ed remarkably in the normal conduction range. Superconducting transiti
on temperatures (T-c's) of these films were higher than in the past re
ports for the same thicknesses. The thickness (d) dependence of T-c wa
s In[T-c(d)]proportional to-1/d, which could be explained in terms of
the proximity effect. A theory of localization effects in two-dimensio
nal superconductors by Maekawa and Fukuyama, on the other hand, could
not be applied to the present experiments, since the prepared ultrathi
n films had better crystallinity than those discussed in the theory.