2008/08/31 by Antonio M. Garcı́a-Garcı́a, Antonio M. Garcia-Garcia, Emilio Cuevas +1 · 29 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Condensed matter physics #Context (archaeology) #Degree (music) #Density of states #Differentiable function #Dimension (graph theory) #Geometry #Mathematical analysis #Mathematics #Motion (physics) #Physics #Pure mathematics #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum many-body systems #Scaling #Statistical physics #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.79.073104
published in Physical Review B 79(7) (American Physical Society) · 5 pages, 3 figures, journal version
openalex publication_date 2009/02/24 · arxiv created 2009/03/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.