  To expand the framework available for interpreting experiments on disordered
strongly correlated systems, and in particular to explore further the
strong-coupling zero-bias anomaly found in the Anderson-Hubbard model, we ask
how this anomaly responds to the addition of nonlocal electron-electron
interactions. We use exact diagonalization to calculate the single-particle
density of states of the extended Anderson-Hubbard model. We find that for weak
nonlocal interactions the form of the zero-bias anomaly is qualitatively
unchanged. The energy scale of the anomaly continues to be set by an effective
hopping amplitude renormalized by the nonlocal interaction. At larger values of
the nonlocal interaction strength, however, hopping ceases to be a relevant
energy scale and higher energy features associated with charge correlations
dominate the density of states.
