Vasquez, Louella J., Slevin, Keith, Rodriguez, A. (Alberto) and Roemer, Rudolf A. (2009) Scaling law and critical exponent for alpha_0 at the 3D Anderson transition. Annalen der Physik, Vol.18 (No.12). pp. 901-904. doi:10.1002/andp.200910397

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Abstract

We use high-precision, large system-size wave function data to analyse the scaling properties of the multifractal
spectra around the disorder-induced three-dimensional Anderson transition in order to extract the
critical exponents of the transition. Using a previously suggested scaling law, we find that the critical exponent
is significantly larger than suggested by previous results. We speculate that this discrepancy is due
to the use of an oversimplified scaling relation.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science > Centre for Scientific Computing Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Localization theory -- Research, Multifractals -- Research, Scaling laws (Statistical physics), Exponents (Algebra)
Journal or Publication Title:	Annalen der Physik
Publisher:	Wiley - VCH Verlag GmbH & Co. KGaA
ISSN:	0003-3804
Official Date:	December 2009
Dates:	Date Event December 2009 Published
Volume:	Vol.18
Number:	No.12
Page Range:	pp. 901-904
DOI:	10.1002/andp.200910397
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Description:	Originally published in the December 2009 issue of Annalen der Physik; revised 08 June 2010.
Funder:	Engineering and Physical Sciences Research Council (EPSRC), Ōsaka Daigaku (OD)
Grant number:	EP/C007042/1 (EPSRC)

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