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 language | English |
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Pages (from-to) | 461-464 |
Number of pages | 4 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 266 |
Issue number | 1-4 |
DOIs | |
State | Published - 15 Apr 1999 |
Event | Proceedings of the 1998 International Conference on Percolation and Disordered Systems: Theory and Applications - Giessen, Ger Duration: 14 Jul 1998 → 17 Jul 1998 |
Bibliographical note
Funding Information:We thank the Deutsche Forschungsgemeinschaft for financial support.
Funding
We thank the Deutsche Forschungsgemeinschaft for financial support.
Funders | Funder number |
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Deutsche Forschungsgemeinschaft |