Publication: Disorder-induced zero-bias anomaly in the Anderson-Hubbard model: Numerical and analytical calculations

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Title	Disorder-induced zero-bias anomaly in the Anderson-Hubbard model: Numerical and analytical calculations
Authors/Editors*	Hong-Yi Chen, R. Wortis, W. A. Atkinson
Where published*	Physical Review B
How published*	Journal
Year*	2011
Volume	84
Number
Pages	045113
Publisher
Keywords
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Abstract	Using a combination of numerical and analytical calculations, we study the disorder-induced zero bias anomaly (ZBA) in the density of states of strongly correlated systems modeled by the two-dimensional Anderson-Hubbard model. We find that the ZBA comes from the response of the nonlocal inelastic self-energy to the disorder potential, a result which has implications for theoretical approaches that retain only the local self-energy. Using an approximate analytic form for the self-energy, we derive an expression for the density of states of the two-site Anderson-Hubbard model. Our formalism reproduces the essential features of the ZBA, namely that the width is proportional to the hopping amplitude t and is independent of the interaction strength and disorder potential.