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Scaling law and critical exponent for alpha_0 at the 3D Anderson transition
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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 ISSN 0003-3804.
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Official URL: http://dx.doi.org/10.1002/andp.200910397
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 | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Centre for Scientific Computing Faculty of Science, Engineering and Medicine > Science > Physics |
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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: |
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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. |
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Funder: | Engineering and Physical Sciences Research Council (EPSRC), Ōsaka Daigaku (OD) | ||||
Grant number: | EP/C007042/1 (EPSRC) |
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