Electronic properties in the interaction random-cluster model

Abstract

We study the effect of electron-electron interaction on the localization properties of electronic states in the random-cluster tight-binding model, which can be constructed by randomly inserting a number of identical clusters into an infinite purely periodic system. At the mean-field level, we show that, although in separate disorder or interactions there exist some completely unscattered states whose number is smaller than the number of sites in each cluster, the combination of both can lead to the disappearance of unscattered states.