We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

Mesoscopic physics has emerged as a new, interdisciplinary field combining concepts of
atomic, molecular, cluster, and condensed-matter physics. On the one hand mesoscopic …

We study numerically the effect of the on-site Hubbard interaction U on the dynamics of two
electrons subjected to an external electric field and restricted to move in a linear chain with …

Dynamical conductivity in a disordered one-dimensional model of interacting fermions is
studied numerically at high temperatures and in the weak-interaction regime in order to find …

We study the effects of long-range hopping and long-range interparticle interactions on the
quantum walk of hard-core bosons in ideal and disordered one-dimensional lattices. We find …

We study the influence of electron-electron interactions on the electronic properties of
disordered materials. In particular, we consider the insulating side of a metal-insulator …

The properties of the entanglement entropy (EE) in one-dimensional disordered interacting
systems are studied. Anderson localization leaves a clear signature on the average EE, as it …

We study the interplay of two interacting discrete time quantum walks in the presence of
disorder. Each walk is described by a Floquet unitary map defined on a chain of two-level …

The correlated motion of electrons in a one-dimensional system with an externally applied
longitudinal electric field is discussed. Within the tight-binding model we show that in …

We study the influence of many-particle interaction in a system which, in the single particle
case, exhibits a metal-insulator transition induced by a finite amount of onsite pontential …