Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1997-10-23
Physics
Condensed Matter
Disordered Systems and Neural Networks
7 pages, LaTeX (IOP style), 2 figures
Scientific paper
10.1088/0953-8984/10/2/009
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.
Pipek Janos
Varga Imre
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