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

40 Scopus citations

Abstract

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
Volume266
Issue number1-4
DOIs
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.

Funding

We thank the Deutsche Forschungsgemeinschaft for financial support.

FundersFunder number
Deutsche Forschungsgemeinschaft

    Fingerprint

    Dive into the research topics of 'Are the phase in the Anderson model long-range correlated?'. Together they form a unique fingerprint.

    Cite this