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

Abstract

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

arXiv comment8 pages, 6 figures

References in corpus (12)

• Visualizing Critical Correlations near the Metal-Insulator Transition in Ga1-xMnxAs
• Charge ordering in extended Hubbard models: Variational cluster approach
• Disorder effects in electronic structure of substituted transition metal compounds
• Disorder-Induced Stabilization of the Pseudogap in Strongly Correlated Systems
• Multifractality and quantum-to-classical crossover in the Coulomb anomaly at the Mott-Anderson metal-insulator transition
• Charge orderings in the atomic limit of the extended Hubbard model
• The effects of the next-nearest-neighbour density-density interaction in the atomic limit of the extended Hubbard model
• Physical mechanism for a kinetic energy driven zero-bias anomaly in the Anderson-Hubbard model
• Effect of Strong Correlations on the Disorder-Induced Zero Bias Anomaly in the Two-Site Anderson-Hubbard Model
• Analysis of the Disorder-Induced Zero Bias Anomaly in the Anderson-Hubbard Model
• Effect of nonlocal interactions on the disorder-induced zero-bias anomaly in the Anderson-Hubbard model
• Temperature dependence of the zero-bias anomaly in the Anderson-Hubbard model: Insights from an ensemble of two-site systems

Cited by in corpus (2)

• Interaction induced spatial correlations in a Disordered Glass
• Strongly correlated zero-bias anomaly in double quantum dot measurements