This review presents a unified view on the problem of Anderson localization in one-
dimensional weakly disordered systems with short-range and long-range statistical …

In disordered systems, wave functions in the Schrödinger equation may exhibit a transition
from the extended phase to the localized phase, in which the states at the boundaries or …

We study an extended Aubry-André-Harper model with simultaneous modulation of hop**
on-site potential and p-wave superconducting pairing. For the case of commensurate …

Anderson localization has been a subject of intense studies for many years. In this context,
we study numerically the influence of long-range correlated disorder on the localization …

The localization behavior of the one-dimensional Anderson model with correlated and
uncorrelated purely off-diagonal disorder is studied. Using the transfer matrix method, we …

We present a detailed analysis of the insulator–metal–insulator transition of a disordered
system, starting from a characteristic three-dimensional system possessing highly …

The presence of frozen uncorrelated random on-site potential in interacting quantum
systems can induce a transition from an ergodic phase to a localized one, the so-called …

We describe the critical behavior of the Anderson-like transition predicted to occur in the 2D
tight-binding model with isotropic scale-free long-range correlated disorder characterized by …

Within the framework of the Aubry-André model, one kind of self-dual quasi-periodic lattice, it
is known that a sharp transition occurs from all eigenstates being extended to all being …

We investigate the phase transitions in a one-dimensional system with colored noise.
Previous studies indicated that the phase diagram of this system included extended and …