Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-08-03
Phys. Rev. A 82, 053405 (2010)
Physics
Condensed Matter
Disordered Systems and Neural Networks
11 pages, 11 figures, revtex4
Scientific paper
We study the single particle density of states of a one-dimensional speckle potential, which is correlated and non-Gaussian. We consider both the repulsive and the attractive cases. The system is controlled by a single dimensionless parameter determined by the mass of the particle, the correlation length and the average intensity of the field. Depending on the value of this parameter, the system exhibits different regimes, characterized by the localization properties of the eigenfunctions. We calculate the corresponding density of states using the statistical properties of the speckle potential. We find good agreement with the results of numerical simulations.
Falco G. M.
Fedorenko Andrei A.
Giacomelli Jacopo
Modugno Michele
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