It is shown that strong electron-electron interactions in disordered system
s lead to the enhancement of intrinsic disorder. The one-band Hubbard model
with random on-site energies is studied in the infinite U limit. Electron
correlations are treated in the mean-field slave boson technique. To averag
e over disorder, both intrinsic (diagonal) and interaction induced (off-dia
gonal), we use a version of the coherent potential approximation. We illust
rate the approach by calculating density of states, ac electrical conductiv
ity, and effective carrier concentration. The obtained results are discusse
d in the context of recent experimental data on disordered strongly correla
ted materials. [S0163-1829(99)05243-1].