Anomalous Wave Function Statistics on a One-Dimensional Lattice with Power-Law Disorder
Anomalous Wave Function Statistics on a One-Dimensional Lattice with Power-Law Disorder
Within a general framework, we discuss the wave function statistics in the Lloyd model of Anderson localization on a one-dimensional lattice with a Cauchy distribution for random on-site potential. We demonstrate that already in leading order in the disorder strength, there exists a hierarchy of anomalies in the probability distributions …