The article reviews recent developments in the theory of fluctuations and correlations of
energy levels and eigenfunction amplitudes in diffusive mesoscopic samples. Various …

An overview of the random network model invented by Chalker and Coddington, and its
generalizations, is provided. After a short introduction into the physics of the Integer …

The interplay between non-Hermiticity and disorder plays an important role in condensed
matter physics. Here, we report the universal critical behaviors of the Anderson transitions …

We explore quantum criticality and Kibble-Zurek scaling (KZS) in the Aubry-André-Stark
(AAS) model, where the Stark field of strength ɛ is added onto the one-dimensional …

We report a numerical analysis of corrections to finite size scaling at the Anderson transition
due to irrelevant scaling variables and nonlinearities of the scaling variables. By taking …

The quantum phase transition between the three dimensional Dirac semimetal and the
diffusive metal can be induced by increasing disorder. Taking the system of a disordered Z 2 …

A theory of the measurement-induced entanglement phase transition for free-fermion
models in d> 1 dimensions is developed. The critical point separates a gapless phase with ℓ …

Weyl semimetals are paradigmatic topological gapless phases in three dimensions. We
here address the effect of disorder on charge transport in Weyl semimetals. For a single …

We report a careful finite size scaling study of the metal–insulator transition in Anderson's
model of localization. We focus on the estimation of the critical exponent ν that describes the …

We present a self-consistent theory of Anderson localization that yields a simple algorithm to
obtain the typical local density of states as an order parameter, thereby reproducing the …