Multifractal analysis with the probability density function at the three-dimensional Anderson transition

Details Multifractal analysis with the probability density function at the three-dimensional Anderson transition Multifractal analysis with the probability density function at the three-dimensional Anderson transition

2008-12-09

arxiv.org/abs/0812.1654v1

Phys. Rev. Lett. 102, 106406-4 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 7 figures

Scientific paper

10.1103/PhysRevLett.102.106406

The probability density function (PDF) for critical wavefunction amplitudes is studied in the three-dimensional Anderson model. We present a formal expression between the PDF and the multifractal spectrum f(alpha) in which the role of finite-size corrections is properly analyzed. We show the non-gaussian nature and the existence of a symmetry relation in the PDF. From the PDF, we extract information about f(alpha) at criticality such as the presence of negative fractal dimensions and we comment on the possible existence of termination points. A PDF-based multifractal analysis is hence shown to be a valid alternative to the standard approach based on the scaling of general inverse participation ratios.

Affiliated with

Also associated with

No associations

Rating

Multifractal analysis with the probability density function at the three-dimensional Anderson transition does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Multifractal analysis with the probability density function at the three-dimensional Anderson transition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multifractal analysis with the probability density function at the three-dimensional Anderson transition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-282108