Are the phase in the Anderson model long-range correlated?

Jan W. Kantelhardt, Richard Berkovits, Shlomo Havlin, Armin Bunde

Research output: Contribution to journalConference articlepeer-review

39 Scopus citations


We investigate the local cumulative phases at single sites of the lattice for time-dependent wave functions in the Anderson model in d = 2 and 3. In addition to a local linear trend, the phases exhibit some fluctuations. We study the time correlations of these fluctuations using detrended fluctuation analysis. Our results suggest that the phase fluctuations are long-range correlated, decaying as a power law with time. It seems that the exponent depends on the degree of disorder. In d = 3, close to the critical disorder wc = 16.5, the correlation exponent exhibits a maximum value of α ≈ 0.6 which is significantly above random fluctuations (α = 0.5).

Original languageEnglish
Pages (from-to)461-464
Number of pages4
JournalPhysica A: Statistical Mechanics and its Applications
Issue number1-4
StatePublished - 15 Apr 1999
EventProceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications - Giessen, Ger
Duration: 14 Jul 199817 Jul 1998

Bibliographical note

Funding Information:
We thank the Deutsche Forschungsgemeinschaft for financial support.


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