  This work supports the existence of extended nonergodic states in the
intermediate region between the chaotic (thermal) and the many-body localized
phases. These states are identified through an extensive analysis of static and
dynamical properties of a finite one-dimensional system with onsite random
disorder. The long-time dynamics is particularly sensitive to changes in the
spectrum and in the structures of the eigenstates. The study of the evolution
of the survival probability, Shannon information entropy, and von Neumann
entanglement entropy enables the distinction between the chaotic and the
intermediate region.
