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 refers to the physics of structures larger than a nanometer (one billionth
of a meter) but smaller than a micrometer (one millionth of a meter). This size range is the …

It is shown that in a random potential two repulsing or attracting particles can propagate
coherently on a distance lc much larger than one-particle localization length l 1. The …

A physical consideration is given to reinforce, interpret and generalize the result of
Shepelyansky that a not too weak short-range interaction can cause correlated two-electron …

We consider a one-dimensional Hubbard model in the presence of disorder. We compute
the charge stiffness for a mesoscopic ring as a function of the size L, which is a measure of …

We study persistent currents for interacting one-dimensional bosons on a tight ring trap,
subjected to a rotating barrier potential, which induces an artificial U (1) gauge field. We …

We theoretically study exciton absorption on a ring threaded by a magnetic flux. For the case
when the attraction between an electron and a hole is short ranged, we obtain an exact …

We study the effects of disorder on a system of two coupled chains of strongly correlated
fermions (the ladder system), using a renormalization-group technique. The stability of the …

This article reviews recent advances in mesoscopic physics, namely experimental and
theoretical investigations of persistent (equilibrium) currents in normal metal rings. While …

Two interacting electrons confined in a quantum ring form a Wigner molecule due to the
interplay between the Coulomb repulsion and the radial confinement. The states with fixed …