This is a review of the statistical properties of the scattering matrix of a mesoscopic system.
Two geometries are contrasted: A quantum dot and a disordered wire. The quantum dot is a …

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 …

The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …

In their preface, the authors state that 'this is a book for absolute beginners'. Well, that
depends on the definition of a beginner! Here,(s) he should be thoroughly at home in …

The many-body localization transition (MBLT) between ergodic and many-body localized
phases in disordered interacting systems is a subject of much recent interest. The statistics …

Orthogonal polynomial random matrix models of N× N hermitian matrices lead to Fredholm
determinants of integral operators with kernel of the form (ϕ (x) ψ (y)− ψ (x) ϕ (y))/x− y. This …

The transition between ergodic and many-body localization (MBL) phases lies at the heart of
understanding quantum thermalization of many-body systems. Here, we predict a many …

We study a one-dimensional XXZ spin chain in a random field on the metallic side of the
many-body localization transition by level statistics. For a fixed interaction, and intermediate …

New Class of Random Matrix Ensembles with Multifractal Eigenvectors Page 1 VOLUME 79,
NUMBER 10 PHYSICAL REVIEW LETTERS 8SEPTEMBER 1997 New Class of Random Matrix …

It has been argued that, despite remarkable success, existing random matrix theories are not
adequate at describing disordered conductors in the metallic regime, due to the presence of …