What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

This article is a brief introduction to the rapidly evolving field of many‐body localization.
Rather than giving an in‐depth review of the subject, our aspiration here is simply to …

We re-examine attempts to study the many-body localization transition using measures that
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …

In contrast with Anderson localization where a genuine localization is observed in real
space, the many-body localization (MBL) problem is much less understood in Hilbert space …

We theoretically study the quench dynamics for an isolated Heisenberg spin chain with a
random on-site magnetic field, which is one of the paradigmatic models of a many-body …

Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …

We study Anderson localization in disordered tight-binding models on hyperbolic lattices.
Such lattices are geometries intermediate between ordinary two-dimensional crystalline …

The article reviews the physics of Anderson localization on random regular graphs (RRG)
and its connections to many-body localization (MBL) in disordered interacting systems …

In this paper we study the many-body localization (MBL) transition and relate it to the
eigenstate structure in the Fock space. Besides the standard entanglement and multifractal …

We present a renormalization group (RG) analysis of the problem of Anderson localization
on a random regular graph (RRG) which generalizes the RG of Abrahams, Anderson …