Physical mechanism for a kinetic energy driven zero-bias anomaly in the Anderson-Hubbard model

Abstract

The combined effects of strong disorder, strong correlations and hopping in the Anderson-Hubbard model have been shown to produce a zero bias anomaly which has an energy scale proportional to the hopping and minimal dependence on interaction strength, disorder strength and doping. Disorder-induced suppression of the density of states for a purely local interaction is inconsistent with both the Efros-Shklovskii Coulomb gap and the Altshuler-Aronov anomaly, and moreover the energy scale of this anomaly is inconsistent with the standard energy scales of both weak and strong coupling pictures. We demonstrate that a density of states anomaly with similar features arises in an ensemble of two-site systems, and we argue that the energy scale t emerges in strongly correlated systems with disorder due to the mixing of lower and upper Hubbard orbitals on neighboring sites.

4 pages, 3 figures; new version includes minor changes to figures and text to increase clarity

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• Energy dependence of localization with interactions and disorder: The generalized inverse participation ratio of an ensemble of two-site Anderson-Hubbard systems
• 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
• Temperature dependence of the zero-bias anomaly in the Anderson-Hubbard model: Insights from an ensemble of two-site systems
• Effect of nonlocal interactions on the disorder-induced zero-bias anomaly in the Anderson-Hubbard model
• Interaction induced spatial correlations in a Disordered Glass
• Understanding disorder-induced zero-bias anomalies in systems with short-range interactions: An atomic-limit perspective
• Binding carriers to a non-magnetic impurity in a two-dimensional square Ising antiferromagnet
• Persistence of energy-dependent localization in the Anderson-Hubbard model with increasing system size and doping
• Strongly correlated zero-bias anomaly in double quantum dot measurements