Anomalous transport in low-dimensional systems with correlated disorder

Details Anomalous transport in low-dimensional systems with correlated disorder Anomalous transport in low-dimensional systems with correlated disorder

2005-07-27

arxiv.org/abs/cond-mat/0507629v1

Journ. Phys. A: Math. Gen., 38 (2005) 10613

Physics

Condensed Matter

Disordered Systems and Neural Networks

26 pages, 3 figures

Scientific paper

10.1088/0305-4470/38/49/010

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.

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