Multifractal analysis with the probability density function at the three-dimensional anderson transition.
Phys Rev Lett
; 102(10): 106406, 2009 Mar 13.
Article
em En
| MEDLINE
| ID: mdl-19392138
ABSTRACT
The probability density function (PDF) for critical wave function 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 the possible existence of termination points. A PDF-based multifractal analysis is shown to be a valid alternative to the standard approach based on the scaling of inverse participation ratios.
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Base de dados:
MEDLINE
Idioma:
En
Ano de publicação:
2009
Tipo de documento:
Article