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

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

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.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

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

     

Profile ID: LFWR-SCP-O-282108

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.