English

Anomalous transport in low-dimensional systems with correlated disorder

Disordered Systems and Neural Networks 2009-11-11 v1

Abstract

We review recent results on the anomalous transport in one-dimensional and quasi-one-dimensional systems with bulk and surface disorder. Main attention is paid to the role of long-range correlations in random potentials for the bulk scattering, and in corrugated profiles for the surface scattering. It is shown that with a proper choice of correlations one can construct such a disorder that results in a selective transport with given properties. A particular interest is in the possibility to arrange windows of a complete transparency (or reflection) in the dependence on the wave number of incoming classical waves or electrons.

Cite

@article{arxiv.cond-mat/0507629,
  title  = {Anomalous transport in low-dimensional systems with correlated disorder},
  author = {F. M. Izrailev and N. M. Makarov},
  journal= {arXiv preprint arXiv:cond-mat/0507629},
  year   = {2009}
}

Comments

26 pages, 3 figures