  We study the mechanism of the mass enhancement in an intermediate-valent
regime of heavy-fermion materials. We find that the crossovers between the
Kondo, intermediate valent, and almost empty f-electron regimes become sharp
with the Coulomb interaction between the conduction and f electrons. In the
intermediate-valent regime, we find a substantial mass enhancement, which is
not expected in previous theories. Our theory may be relevant to the observed
nonmonotonic variation in the effective mass under pressure in CeCu2Si2 and the
mass enhancement in the intermediate-valent compounds alpha-YbAlB4 and
beta-YbAlB4.
