The generalized localization lengths in one dimensional systems with correlated disorder

Abstract

The scale invariant properties of wave functions in finite samples of one dimensional random systems with correlated disorder are analyzed. The random dimer model and its generalizations are considered and the wave functions are compared. Generalized entropic localization lengths are introduced in order to characterize the states and compared with their behavior for exponential localization. An acceptable agreement is obtained, however, the exponential form seems to be an oversimplification in the presence of correlated disorder. According to our analysis in the case of the random dimer model and the two new models the presence of power-law localization cannot be ruled out.

7 pages, LaTeX (IOP style), 2 figures

References in corpus (3)

• Enhanced suppresion of localization in a continuous Random-Dimer Model
• Scaling Properties of Localization Length in 1D Paired Correlated Binary Alloys of Finite Size
• Information Length and Localization in One Dimension

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