Anomalous transport in low-dimensional systems with correlated disorder

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.

26 pages, 3 figures

References in corpus (2)

• Resistance of a 1D random chain: Hamiltonian version of the transfer matrix approach
• Parametric instability of linear oscillators with colored time-dependent noise

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