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 …

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 …

Using the noninteracting Anderson tight-binding model on the Bethe lattice as a toy model
for the many-body quantum dynamics, we propose a novel and transparent theoretical …

We construct a quasiperiodic lattice model in curved spacetime to explore the crossover
concerning both condensed matter and curved spacetime physics. We study the related …

We identify the key features of Kardar-Parisi-Zhang (KPZ) universality class in the
fluctuations of the wave density logarithm in a two-dimensional Anderson localized wave …

The accuracy of the forward scattering approximation for two-point Green's functions of the
Anderson localization model on the Cayley tree is studied. A relationship between the …

We study a one-dimensional disordered Bose fluid using bosonization, the replica method,
and a nonperturbative functional renormalization-group approach. The Bose-glass phase is …

After Anderson's seminal paper in 1958, localization has attracted the interest of many
researchers in condensed matter physics and disordered systems. The study of the peculiar …

We show that the Bose-glass phase of a one-dimensional disordered Bose fluid exhibits a
chaotic behavior, ie, an extreme sensitivity to external parameters. Using bosonization, the …

A one-dimensional lattice model with mosaic quasiperiodic potential is found to exhibit
interesting localization properties, eg clear mobility edges (Wang et al 2020 Phys. Rev. Lett …