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 …

The dynamical phase diagram of interacting disordered systems has seen substantial
revision over the past few years. Theory must now account for a large prethermal many-body …

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 …

The Anderson transition in random graphs has raised great interest, partly out of the hope
that its analogy with the many-body localization (MBL) transition might lead to a better …

We perform a thorough and complete analysis of the Anderson localization transition on
several models of random graphs with regular and random connectivity. The unprecedented …

We consider the static and the dynamic phases in a Rosenzweig-Porter (RP) random matrix
ensemble with a distribution of off-diagonal matrix elements of the form of the large-deviation …

In this paper, we suggest an extension of the Rosenzweig-Porter (RP) model, the LN-RP
model, in which the off-diagonal matrix elements have a wide, log-normal distribution. We …

The disordered XXZ model is a prototype model of the many-body localization transition
(MBL). Despite numerous studies of this model, the available numerical evidence of …

We study the spectral properties of the adjacency matrix in the giant connected component
of Erdös-Rényi random graphs, with average degree p and randomly distributed hop** …