Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 29: Poster II

DY 29.32: Poster

Donnerstag, 28. Februar 2008, 16:00–18:00, Poster C

Localization transitions in complex networks — •Lukas Jahnke¹, Jan Kantelhardt¹, Richard Berkovitz², and Shlomo Havlin² — ¹Theoretische Physik, Martin-Luther-Universität, Halle / Saale, Germany — ²The Minerva Center, Department of Physics, Bar-Ilan University, Ramat Gan, Israel

Transitions between localized and extended states have been studied in various disordered systems. The most well-known case is Anderson localization, where a disordered potential landscape on a regular lattice drives a metal-insulator transition of electrons described by the tight-binding equation. Similar transitions occur for vibrational modes and on non-regular structures, e.g., on percolation clusters. Using numerical techniques based on random matrix theory, we study such localization phenomena also with magnetic field and on more complex networks, i.e., on random graphs and scale free networks. We find that a localization-delocalization transition can be driven by several other parameters than standard on-site disorder strength. The results are compared with quantum percolation on standard lattices.