Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

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 explorations of non-Hermiticity have been devoted to investigate the disorder-induced
many-body localization (MBL). However, the sensitivity of the spatial boundary conditions …

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 …

This article reviews recent progress in understanding the physics of many-body localisation
(MBL) in disordered and interacting quantum many-body systems, from the perspective of …

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 …