Many-body dynamics in long-range hopping models in the presence of correlated and uncorrelated disorder

Abstract

The authors find a new subextensive scaling with system size of the entanglement entropy (EE) and participation ratio (PR) for algebraic localization as noticed in one dimensional long range hopping models in the presence of uncorrelated disorder. While the scaling exponent of EE seems to vary universally with the long distance localization exponent of single particle states, PR does not show such universality.