Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 42: Critical Phenomena and Phase Transitions

DY 42.6: Talk

Friday, March 18, 2011, 11:30–11:45, ZEU 255

(contribution withdrawn) Critical Parameters from a Generalized Multifractal Analysis at the Anderson Transition — Alberto Rodriguez¹, Louella J Vasquez¹, Keith Slevin², and •Rudolf A Römer¹ — ¹Dept. of Physics and Ctr for Scientific Computing, University of Warwck, Coventry, CV4 7AL, UK — ²Department of Physics, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka 560-0043, Japan

We propose a generalization of multifractal analysis that is applicable to the critical regime of the Anderson localization-delocalization transition. The approach reveals that the behavior of the probability distribution of wave function amplitudes is sufficient to characterize the transition. In combination with finite-size scaling, this formalism permits the critical parameters to be estimated without the need for conductance or other transport measurements. Applying this method to high-precision data for wave function statistics obtained by exact diagonalization of the three-dimensional Anderson model, we estimate the critical exponent ν=1.58±0.03.