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

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

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 461-464

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).

Keywords: Anderson model; Phases; Long-range correlation; Detrended fluctuation analysis (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:461-464

DOI: 10.1016/S0378-4371(98)00631-1

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