Disordered dielectric materials with structural correlations show unconventional optical
behavior: They can be transparent to long-wavelength radiation, while at the same time …

It is believed that the two-dimensional (2D) Anderson model exhibits localization for any
nonzero disorder in the thermodynamic limit and it is also well known that the finite-size …

arxiv:cond-mat/0609580v1 [cond-mat.mes-hall] 22 Sep 2006 Page 1 arxiv:cond-mat/0609580v1
[cond-mat.mes-hall] 22 Sep 2006 submitted to acta physica slovaca 1– 123 NUMERICAL …

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 …

We find the conductance distribution function of the two-dimensional Anderson model in the
strongly localized limit. The fluctuations of ln⁡ g grow with lateral size as L 1/3 and follow a …

These lecture notes, adapted from the habilitation thesis of the author, survey in a first part
various exact results obtained in the past few decades about KPZ fluctuations in one …

For Anderson localization on the Cayley tree, we study the statistics of various observables
as a function of the disorder strength W and the number N of generations. We first consider …

I present the results of extensive numerical simulations, which reveal the glassy properties of
Anderson localization in dimension two at zero temperature: pinning, avalanches, and …

We numerically investigate the single parameter scaling (SPS) hypothesis in a non-
interacting one-dimensional correlated Anderson model. In particular, we examine the role …

We consider a two-dimensional strongly localized system defined in a half-plane and whose
transfer integral in the edge can be different than in the bulk. We predict an unbinding …