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Motivated by the novel electronic behaviors seen in transition metal oxides,we look for physical insight into disordered, strongly-correlated systems byexploring the atomic limit. In recent work, the atomic limit has provided auseful reference point in systems with strong {\em local} interactions. Forcomparison with experiments, the exploration of {\em non}local interactions isof interest. In the atomic limit, both the case of on-site interactions aloneand the case of infinite-range ($1/r$) interactions are well understood;however, not so the intervening possibilities. Here we study the atomic limitof the extended Anderson-Hubbard model using classical Monte Carlo to calculatethe single-particle density of states. We show that the combination ofnearest-neighbor interactions and site disorder produce a zero-bias anomalycaused by residual charge ordering, and the addition of on-site interactionshas a non-monotonic effect on the depth of this zero-bias anomaly. A keyconclusion is that the form of the density of states in this classical systemstrongly resembles density of states results obtained for the full extendedAnderson-Hubbard model when $U<4V$.

Understanding disorder-induced zero-bias anomalies in systems with short-range interactions: An atomic-limit perspective