Dresden 2003 – wissenschaftliches Programm
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HL: Halbleiterphysik
HL 14: Poster I
HL 14.81: Poster
Montag, 24. März 2003, 17:00–19:30, HSZ/P2
The Anderson Model of Localization with Scale-Free Disorder — •Macleans L. Ndawana1, Rudolf A. Römer1, and Michael Schreiber2 — 1Department of Physics, University of Warwick, CV4 7AL Coventry, UK — 2Institut für Physik, Technische Universität, 09107 Chemnitz
We investigate the three dimensional Anderson model of localization in the presence of scale-free [1] diagonal disorder via the transfer matrix method. The diagonal disorder is characterized by a correlation function that decays as r−α for separation r in the limit r → ∞ and α is the correlation-strength exponent. The extended-Harris criterion [2] is investigated by analyzing the dependence of the correlation-length critical exponent ν on α. We observe that there is a critical value αc below which, i.e. α < αc, the universality class of the system changes. For α > αc, ν remains unchanged. This value of αc seperates two regions, a region where correlations in disorder are relevant (α < αc) and a region where they are irrelevant (α > αc).
[1] H. A. Makse, S. Havlin, M. Schwartz and H. E. Stanley, Phys. Rev. B 53, 5443 (1996)
[2] A. Weinrib and B. I. Halperin, Phys. Rev. B 27, 413 (1983); J. T. Chayes et. al., Phys. Rev. Lett. 57, 2999 (1986)