Analysis of the Disorder-Induced Zero Bias Anomaly in the Anderson-Hubbard Model
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 and is independent of the interaction strength and disorder potential.
Keywords
Cite
@article{arxiv.1012.1031,
title = {Analysis of the Disorder-Induced Zero Bias Anomaly in the Anderson-Hubbard Model},
author = {Hong-Yi Chen and R. Wortis and W. A. Atkinson},
journal= {arXiv preprint arXiv:1012.1031},
year = {2015}
}