F. M. Izrailev, A. A. Krokhin
Published 1998-12-12, updated 1999-11-23Version 2
We show that a mobility edge exists in 1D random potentials provided specific long-range correlations. Our approach is based on the relation between binary correlator of a site potential and the localization length. We give the algorithm to construct numerically potentials with mobility edge at any given energy inside allowed zone. Another natural way to generate such potentials is to use chaotic trajectories of non-linear maps. Our numerical calculations for few particular potentials demonstrate the presence of mobility edges in 1D geometry.
Comments: 4 pages in RevTex and 2 Postscript figures; revised version published in Phys. Rev. Lett. 82 (1999) 4062
Comment on "Localization and the mobility edge in one-dimensional potentials with correlated disorder"
Experimental observation of the mobility edge in a waveguide with correlated disorder
Localization transitions and mobility edges in coupled Aubry-André chains
