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 …

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

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 explore the Fock-space structure of eigenstates across the many-body localization
(MBL) transition in a disordered, interacting quantum spin-1 2 chain. Eigenstate expectation …

A central theoretical issue at the core of the current research on many-body localization
(MBL) consists in characterizing the statistics of rare long-range resonances in many-body …

The scaling of the Thouless time with system size is of fundamental importance to
characterize dynamical properties in quantum systems. In this work, we study the scaling of …

In this paper we give a physically transparent picture of singular-continuous spectrum in
disordered systems which possess a non-ergodic extended phase. We present a simple …

We show that localization in quasiperiodically modulated, two-dimensional systems is stable
to the presence of a finite density of ergodic grains. This contrasts with the case of randomly …