The transport properties of disordered solids have been the subject of much work since at
least the 1950s, but with a new burst of activity during the 1980s which has survived up to …

The scaling theory of the transitions between plateaus of the Hall conductivity in the integer
quantum Hall effect is reviewed. In the model of two-dimensional noninteracting electrons in …

Electronic states in disordered conductors on the verge of localization are predicted to
exhibit critical spatial characteristics indicative of the proximity to a metal-insulator phase …

This review is intended to give a pedagogical and unified view on the subject of the statistics
and scaling of physical quantities in disordered electron systems at very low temperatures …

The multifractal analysis of disorder-induced localization-delocalization transitions is
reviewed. Scaling properties of this transition are generic for multi parameter coherent …

We report a finite size scaling study of the Anderson transition. Different scaling functions
and different values for the critical exponent have been found, consistent with the existence …

We study the model of (2+ 1)-dimensional relativistic fermions in a random non-Abelian
gauge potential at criticality. The exact solution shows that the operator expansion contains …

We reconcile the phenomenon of mesoscopic conductance fluctuations with the single
parameter scaling theory of the Anderson transition. We calculate three averages of the …

We offer a new perspective on the problem of characterizing mesoscopic fluctuations in the
interplateau regions of the integer quantum Hall transition. We found that longitudinal and …

We suggest a new method for investigating scaling properties of mesoscopic observables
and their distributions in disordered systems showing metal-insulator transition. In such …