Imre Varga and János Pipek 1998 J. Phys.: Condens. Matter 10 305 doi:10.1088/0953-8984/10/2/009
The generalized localization lengths in one-dimensional systems with correlated disorder
Imre Varga
,
and János Pipek
The scale-invariant properties of wave functions in finite samples of one-dimensional random systems with correlated disorder are analysed. 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 behaviour 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 possibility of power-law localization cannot be ruled out.
- PACS
- Subjects
- Dates
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Issue 2 (19 January 1998)
Received 24 June 1997, in final form 21 October 1997
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The generalized localization lengths in one-dimensional systems with correlated disorder
Imre Varga and János Pipek 1998 J. Phys.: Condens. Matter 10 305
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