The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …

We study, both experimentally and numerically, the Anderson localization phenomenon in
flexural waves of a disordered elastic beam, which consists of a beam with randomly spaced …

We introduce diagnostics of the transition between the ergodic and many-body localization
phases, which are based on complexity measures defined via the probability distribution …

An extensive numerical analysis of the scattering and transport properties of the power-law
banded random matrix model (PBRM) at criticality in the presence of orthogonal, unitary …

We study, both experimentally and numerically, the Anderson localization phenomenon in
torsional waves of a disordered elastic rod, which consists of a cylinder with randomly …

Based on heuristic arguments we conjecture that an intimate relation exists between the
eigenfunction multifractal dimensions D q of the eigenstates of critical random matrix …

Boundary multifractality of electronic wave functions is studied analytically and numerically
for the power-law random banded matrix (PRBM) model, describing a critical one …

For Anderson tight-binding models in dimension d with random on-site energies and critical
long-ranged hoppings decaying typically as V typ (r)∼ V/rd, we show that the strong …

A Dyson hierarchical model for Anderson localization, containing non-random hierarchical
hoppings and random on-site energies, has been studied in the mathematical literature …

We employ the power-law random banded matrix (PRBM) ensemble with single tuning
parameter μ as the effective model for many-body localization (MBL) transition in random …