  Electron transport properties of C$_{20}$ molecules suspended between gold
electrodes are investigated using first-principles calculations. Our study
reveals that the conductances are quite sensitive to the number of C$_{20}$
molecules between electrodes: the conductances of C$_{20}$ monomers are near 1
G$_{0}$, while those of dimers are markedly smaller, since incident electrons
easily pass the C$_{20}$ molecules and are predominantly scattered at the
C$_{20}$-C$_{20}$ junctions. Moreover, we find both channel currents locally
circulating the outermost carbon atoms.
