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14 December 2024
 
  » arxiv » cond-mat/9710247

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The generalized localization lengths in one dimensional systems with correlated disorder
Imre Varga ; Janos Pipek ;
Date 23 Oct 1997
Subject Disordered Systems and Neural Networks | cond-mat.dis-nn
Affiliation1 and 2) and Janos Pipek ( Department of Theoretical Physics, Institute of Physics, Technical University of Budapest, Hungary, Condensed Matter Research Group of the Hungarian Academy of Sciences, Hungary
AbstractThe 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.
Source arXiv, cond-mat/9710247
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