Berlin 2005 – scientific programme
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HL: Halbleiterphysik
HL 57: Poster IIa
HL 57.10: Poster
Tuesday, March 8, 2005, 16:30–19:00, Poster TU E
Anomalously localized states in the 3D Anderson model of localization — •Philipp Cain and Michael Schreiber — Institut für Physik, Technische Universität, D-09107 Chemnitz
We investigate the localization behavior of critical wave functions in the band center of the three-dimensional (3D) Anderson model of localization for large system sizes N≤ 1113. In a recent numerical study of a 2D SU(2) model it has been demonstrated [1] that among the critical states one can find very strongly localized states. These anomalously localized states (ALS) arise from statistical fluctuations of the disorder potential and are observed also for infinite N. While there is no influence of ALS on transport properties in the metallic regime, ALS can lead to deviations of critical properties at the metal-insulator transition [1] and have to be eliminated before the ensemble average. In order to discriminate ALS from “normal” critical states we use a quantity derived from a multifractal-correlation function [1]. With this method we can verify the existence of ALS also for the 3D Anderson model of localization which belongs to a different universality class than SU(2).
[1] H. Obuse and K. Yakubo, Phys. Rev. B 69, 125301 (2004).