Differentiable potentials and metallic states in disordered one-dimensional systems
arXiv:0808.3757 · doi:10.1103/PhysRevB.79.073104
Abstract
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.
5 pages, 3 figures, journal version
References in corpus (5)
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Anderson Localization of Expanding Bose-Einstein Condensates in Random Potentials
- Multifractality of Hamiltonians with power-law transfer terms
- Fractional derivatives of random walks: Time series with long-time memory
- On the statistics of superlocalized states in self-affine disordered potentials