Dresden 2009 – wissenschaftliches Programm

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HL: Fachverband Halbleiterphysik

HL 9: Poster 1

HL 9.72: Poster

Montag, 23. März 2009, 14:30–17:00, P2

Multifractal Analysis for the Anderson Model and in Small World Networks — •Martin Emmrich, Philipp Cain, and Michael Schreiber — Institut für Physik, Technische Universität, D-09107 Chemnitz

We study the influence of long-range links on the critical behavior of the Anderson model of localization (AML) by means of multifractal analysis of the electronic wave functions. In three dimensions it is known that the wave functions of the AML exhibit a localization-delocalization transition which can be driven by disorder strength. For the discrete AML on a three-dimensional cubic lattice the disorder is considered as an uncorrelated variation of the on-site potential and each site is connected to its six neighbor sites. We extend the AML by modifying the links between sites similar to a small-world network (SWN) where the six links of each site can connect to any other site in the system independent of the distance between the sites. This transformation between network topologies is implemented gradually by replacing links with a given probability, which allows us to trace the critical behavior starting from the AML to the new SWN case. We find that already a small number of SWN links leads to an increase of the critical disorder of the localization-delocalization transition.