Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2008-08-27
Phys. Rev. B 79, 073104 (2009)
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages, 3 figures, journal version
Scientific paper
10.1103/PhysRevB.79.073104
We provide evidence that as a general rule Anderson localization effects become weaker as the degree of differentiability of the disordered potential increases. In one dimension a band of metallic states exists provided that the disordered potential is sufficiently correlated and has some minimum degree of differentiability. Several examples are studied in detail. In agreement with the one parameter scaling theory the motion in the metallic region is ballistic if the spectral density is smooth. Finally, we study the most promising settings to observe these results in the context of cold atoms.
Cuevas Emilio
Garcia-Garcia Antonio M.
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