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 …

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

We show that the proper inclusion of soft reparameterization modes in the Sachdev–Ye–
Kitaev model of N randomly interacting Majorana fermions reduces its long-time behavior to …

There is a large variety of quantum and classical systems in which the quenched disorder
plays a dominant rôle over quantum, thermal, or stochastic fluctuations: these systems …

We study via renormalization group (RG), numerics, exact bounds, and qualitative
arguments the equilibrium Gibbs measure of a particle in a d-dimensional Gaussian random …

These are notes of my lectures held at the first School & Workshop on Logarithmic
Conformal Field Theory and its Applications, September 2001 in Tehran, Iran. These notes …

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 …

We use supersymmetric (SUSY) methods to study the delocalization transition at zero
energy in a one-dimensional tight-binding model of spinless fermions with particle-hole …

We calculate nonperturbatively the multifractal scaling exponents of the critical wave
function for two dimensional Dirac fermions in the presence of a random magnetic field. We …

We consider models for the plateau transition in the integer quantum Hall effect. Starting
from the network model, we construct a mapping to the Dirac Hamiltonian in two dimensions …