Dresden 2009 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 6: Critical phenomena and phase transitions
DY 6.5: Talk
Monday, March 23, 2009, 15:45–16:00, ZEU 118
Probability density function at the 3D Anderson transition — •Louella J. Vasquez, Alberto Rodriguez, and Rudolf A. Roemer — Department of Physics and Centre for Scientific Computing, University of Warwick, CV47AL United Kingdom
The probability density function (PDF) for the wavefunction amplitudes is studied at the metal-insulator transition of the 3D Anderson model, for very large systems up to L3=2403. The implications of the multifractal nature of the state upon the PDF are presented in detail. A formal expression between the PDF and the singularity spectrum f(α) is given. The PDF can be easily used to carry out a numerical multifractal analysis and it appears as a valid alternative to the more usual approach based on the scaling law of the general inverse participation rations.